Answers
Answer:
45°
Step-by-step explanation:
The sum of a triangle's angles is 180°.
Let's take the triangle FIG and try to express its angles in function of x.
● < F :
< F +3x = 180 => <F = 180 -3x
● < G :
IK and GH are paralell. IG is crossing them.
x and G are interior alternate angles so they have the same size.
< G = x
● < I :
We khow that < F = 180 -3x and < G = x
< I = 180-(< F + < G )
< I = 180 - ( 180-3x +x)
< I = 180 -(180-2x)
< I = 180 -180 +2x
< I = 2x
■■■■■■■■■■■■■■■■■■■■■■■
< F = 180 -3x
< G = x
< I = 2x
< I + > I + x + 2x = 360
2x + 180-x +3x = 360
4x + 180 = 360
4x = 180
x = 45°
●●●●●●●●●●●●●●●●●●●●●●●
Let's verify :
< F = 180 - 3*45 = 45 °
<G = x = 45°
< I = 2x = 90°
90° +45°+45° = 180°
So it's true.
Related Questions
can someone explain how to solve this? i’ll give brainliest :)
Answers
Answer:
add 10 on both sides
7<X
So X has to be bigger than 7
So 8,9,10, and 1000 can all be X.
Step-by-step explanation:
Answer:
7 < x
Step-by-step explanation:
the inequality is -3< x-10
-3 < x-10 add 10 in both sides -3+10 <x-10+107< x+07 < xany number that is greater than 7 can be a solution
Sean is raising funds for an event at his school. He has collected $25 each from x people, and he is still $100 short of his goal. The expression that gives his goal is
Answers
Answer:
25x + 100 = His goal
Step-by-step explanation:
He gets 25 from each person so the amount of people would be x and then you add 100 dollars for how much he still needs.
Y=25x +100, i think thats right not 100% sure though.
HELP ME ON THIS ONE PLZ NEED ANSWERS
What is the domain and range of each relation?
Drag the answer into the box to match each relation.
{(−7, 2), (−2, 2), (0, 1), (4, 5)}
A mapping diagram. Element x contains negative 4, negative 3, negative 1, and 1. Element Y contains negative 3, negative 1, and 4. Negative four maps to negative 1. Negative three maps to negative 3 and 4. Negative one maps negative 1. One maps to 4.
Answers
Answer:
See below.
Step-by-step explanation:
The domain of a relation are simply its x-values, while the range of a relation are its y-values.
1)
We have the relation:
{(-7,2), (-2,2), (0,1), (4,5)}
Again, the domain of this relation are the x-values. Therefore, the domain is:
{-7, -2, 0, 4}
The range of this relation are the y-values. Therefore, the range is:
{2, 1, 5}
Note that even though the 2 repeats, we only count it once because it's the same.
2)
We have the relation:
{(-4,-1), (-3,-3), (-3,4), (-1,-1), (1,4)}
The domain are the x-values. Therefore, the domain is:
{-4, -3, -1, 1}
Again, the -3 repeats so we only count it once.
And the range would be the y-values:
{-3, -1, 4}
It's customary to place them in ascending order.
Answer:
If there are two set A and B. All the elements of set A are called domain and all elements of set B are range.And element of B which are maping with set A elements are codomain
Step-by-step explanation:
domains are -7,-2,0,4
range are 2,1,5
I hope this is helpful for you
What is the measure of the angle between the minute and the hour hands, when they show 4:20 PM? Note that the answer is not 10!
Answers
Answer:
I would try 10 again but this time put the degree sign in. Sometimes the computer registers in incorrect if it doesn't have a degree sign
Step-by-step explanation:
Also, this is a random note but in geometry, minutes and seconds are classified as smaller units in angles than degrees. 60 minutes is a degree and 60 seconds is a minute so that means 3600 seconds is a degree.
Christine will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.60 per mile driven. The second plan has
an initial fee of $50 and costs an additional $0.40 per mile driven. How many miles would Christine need to drive for the two plans to cost the same?
Answers
Answer:
Christine needs to drive 250 miles for the two plans to cost the same
Step-by-step explanation:
For answering the question correctly and helping Christine, we will use the following equation:
x = number of miles driven
Cost of the first plan = 0.60x
Cost of the second plan = 50 + 0.40x
How many miles would Christine need to drive for the two plans to cost the same?
Cost of the first plan = Cost of the second plan
0.60x = 50 + 0.40x
0.60x - 0.40x = 50 (Subtracting 0.40x at both sides)
0.20x = 50
x = 50/0.2
x = 250 miles driven
Christine needs to drive 250 miles for the two plans to cost the same.
Question below. Please answer it, its math.
Answers
Answer:
- 0.8
Step-by-step explanation:
The first thing we want to do here is simplify the expression -
[tex]\frac{3}{5}[/tex]( 2x + 5 ) - 2x, Distribute the " [tex]\frac{3}{5}[/tex] " to elements within the parenthesis
= [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 - 2x, Focus on simplifying the expression " [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 "
= [tex]2\cdot \frac{3}{5}x+5\cdot \frac{3}{5}[/tex] - 2x
= [tex]\frac{6x}{5}+3[/tex] - 2x, Combine fractions
= [tex]-\frac{4x}{5}[/tex] + 3
= [tex]-\frac{4}{5}[/tex]x + 3
So we have our simplified expression " [tex]-\frac{4}{5}[/tex]x + 3, " with [tex]-\frac{4}{5}[/tex] being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,
- 4 / 5 = - 0.8,
Solution = - 0.8
Number of miles a car can drive
300
280
260
240
220
200
180
160
140
120
100
80
60
40
20
Number of gallons of gas in a car
4
6 8 10 12
6. Which type of correlation does the scatter plot show?
A. Positive correlation
B. No correlation
C. Negative correlation
D. Can't be determined
Answers
EXPLANATION
because the line isnt a straight line.
In the figure below, B is the center of the circle. NL= 28, OS = 4x-2, RB = 22 and SB = 22. Find the value of x.
Answers
Explanation:
RB and SB are 22 units. Since they are both equal, this means the chords NL and OQ are the same length. This is true whenever the chords are the same distance away from the center.
NL = 28, so OQ = 28 as well.
Furthermore, the radius BP cuts chord OQ in half (because BP is perpendicular to OS), which means OS = 28/2 = 14. We are also told that OS = 4x-22
Therefore,
4x-22 = 14
4x = 14+22
4x = 36
x = 36/4
x = 9
two quadratic functions are shown:
which function has lowest minimum value, and what are it's coordinates?
function 1 has the lowest minimum value and it's coordinates are (-1,4)
function 1 has the lowest minimum value and it's coordinates are (0,7)
function 2 has the lowest minimum value and it's coordinates are (-1,7)
function 2 has the lowest minimum value and it's coordinates are (0,3)
Answers
To find the minimum value of function 1, we need to find the vertex. The formula for the x-coordinate of the vertex is -b/2a, which is -1 in this equation. However, to find minimum and maximum values, we need to look at the y-coordinate. f(-1) is 4, which we know is a minimum (rather than a maximum), because the leading coefficient is positive -- so the parabola opens upwards. So, the minimum value of f(x) is 4, and the coordinate is (-1, 4).
From the table, the minimum value of g(x) is 3, and the coordinate is (0, 3).
Therefore, function 2 has the lowest minimum value, with coordinates (0, 3).
The total cost f(x), in dollars, for renting a car for a day and driving it x miles is shown: f(x) = 90 + 0.11x What does f(30) represent?
Answers
Answer:
f(30) represents the total cost when the car is driven 30 miles
Step-by-step explanation:
f(30) is the y value when x= 30
Since x represents miles, f(30) is the y value of the function when you drive a car 30 miles, basically how much it will cost.
We solve this by plugging 30 in for x:
f(30)= 90 + 0.11(30)
f(30)= 90 + 3.3
f(30)= 93.3
Thus, renting a car for a day and driving it 30 miles costs $93.30
PLEASE HELP!!!! Emily is making 2 gallons of punch with 4 parts grape juice to 3 parts pineapple juice to 1 part sparkling cider. How many cups of pineapple juice will Emily need?? Hint (1 gallon = 16 cups)
Answers
1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.
The ratio is 4:3:1
Add the ratios: 4+ 3 + 1 = 8
Divide total cups by total ratio:
32/8 =4
Now multiply that by each portion of the ratio:
Grape juice = 4 x 4 = 16 cups
Pineapple juice = 3x4 = 12 cups
Cider = 1x 4 = 4 cups
She needs 12 cups of pineapple juice.
solve for b: 4 1/3b+b=6b–10.4
Answers
Answer:
-7 8/10 = b
Step-by-step explanation:
Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10. Then we have:
(11/3)b + b = 6b - 104/10.
This simplifies to b( (11/3) + 1 - 6) = 104/10, or
b(11/3 - 15/3) = 104/10, or
b( -4/3 ) = 104/10
Multiplying both sides by -3/4 isolates b, as desired:
-3(104)
(-3/4)(-4/3)b = -------------
4(10)
Then b = -312/40, or -156/20, or -78/10, or -7 8/10 = b
The value of b from the expression given will be b= -7 8/10 .
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have been given an expression as;
4 1/3b + b = 6b–10.4
Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10, Then we have:
(11/3)b + b = 6b - 104/10.
This simplifies as;
b( (11/3) + 1 - 6) = 104/10, or
b(11/3 - 15/3) = 104/10, or
b( -4/3 ) = 104/10
Multiplying both sides by -3/4 isolates b, as desired:
-3(104)
(-3/4)(-4/3)b = -4(10)
Then b = -312/40,
or -156/20,
or -78/10,
or -7 8/10 = b
Therefore the value of b from the expression given will be b= -7 8/10 .
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
A ball has a diameter of 7 inches. What is the volume
Answers
Answer:
179,5 inches³
Step-by-step explanation:
Hello !
d = 2r => r = d/2 = 7in/2 = 3.5 inches
V = 4π·r³/3
= 4·3.14·(3.5in)³/3
= 538.51in³/3
≈ 179,5 inches³
Here's the question of the day! How is everyone? Question of the day is ... 18 + 34 x 15 =
Answers
Answer:
528
Step-by-step explanation:
PEMDAS:
In this math problem, you would multiply 34 and 15 before adding 18.
[tex]18+34*15=\\\\18+510=\\\\\boxed{528}[/tex]
Brainliest Appreciated.
Answer:
528
Step-by-step explanation:
BODMAS
Multiplication first.
34 x 15= 510
Then addition:
510 + 18= 528
30 points high school geometry question.
Answers
Answer:
2.7
Step-by-step explanation:
2.5/5.8 = BD/6.2
BD = 2.7
Answer: 2.7
Step-by-step explanation: 2.5/5.8 = BD/6.2
BD = 2.7
HELP FIRST GET BRAINLLEST Which of the statements below are true? Select all that apply. A) Joan's friends did better on the test than Anne's friends B) Anne's friends did better on the test than Joan's friends C) The lowest score among both groups was 78 D) The highest score among both groups was 93
Answers
Answer:
I think The answer is B
Step-by-step explanation:
The anne's friends studied hard and got high marks higher than john's friends
Answer:
A) True
B) False
C) True
D) True
Step-by-step explanation:
Raise the absolute value of the difference between 136 and 365 to the 6th power. Which of the following expressions matches the sentence above? A. |136 + 365|6 B. (136 + 365)6 C. |136 - 365|6 D. (136 - 365)6
Answers
Answer:c
Step-by-step explanation:
becuase it minus so we can get rid of a and b, and since d is not the equation to find absolute value, it is not correct
Calculate the future value of $51,123.21
Answers
Answer:
Option a) $ 82,531.59
Step-by-step explanation:
The Formula for Future value =
Present value (1 + r/n)^nt
From the question
Present value = $51,123.21
Interest rate (r) = 2 3/8 % = 2.375% = 0.02375
n = compounding frequency = compounded daily = using the traditional bankers rule of 30 days = 30 × 12 months = 360
T = Time duration in years = 20 years and 2 months = 20.1667
Future value = $ 51,123.21(1 + 0.02375/260)^20.1667 × 360
Future value = $ 82,531.59
4. A local orchard packages apples in bags. When full, the bags weigh 5 pounds
each and contain a whole number of apples. The weights are normally distributed
with a mean of 5 pounds and a standard deviation of 0.25 pound. An inspector
weighs each bag and rejects all bags that weigh less than 4.75 pounds. What
percentage of bags will the inspector reject? *
Your answer
Answers
Answer: The percentage of bags will the inspector reject = 15.87%
Step-by-step explanation:
Given, The weights of apple bags are normally distributed with a mean of 5 pounds and a standard deviation of 0.25 pound.
i.e. [tex]\mu=5[/tex] and [tex]\sigma=0.25[/tex]
Let X be the weight of any random apple bag.
Since an inspector weighs each bag and rejects all bags that weigh less than 4.75 pounds.
Then, the probability of bags will be rejected = probability that bags weigh less than 4.75 pounds.
[tex]=P(X<4.75)\\\\=P(\dfrac{X-\mu}{\sigma}<\dfrac{4.75-5}{0.25})\\\\=P(z<-1)\ \ \ [z=\dfrac{X-\mu}{\sigma}][/tex]
[tex]=1-P(z<1)\\\\=1-0.8413\ \ \ [\text{By z-value table}]\\\\=0.1587=15.87\%[/tex]
Hence, the percentage of bags will the inspector reject = 15.87%
John is throwing a dart at a dar board. It has 5 rings surrounding the bull’s-eye. The bull’s-eye is 6 cm. The first rim surrounding the bull’s-eye is 2 cm more than the bull’s-eye region and every other ring is 3 cm more than the preceding ring. What is the probability of John hitting a bull’s-eye if he cannot miss the dart board and is randomly aiming at?
A. 3/10
B. 6/13
C. 9/100
D. 36/169
Answers
Answer:
3/10
Step-by-step explanation:
100 POINTS!The number of pizzas sold in one weekend at Pete's Pizzas is shown. Pie chart of pizza sales. Data includes: 130 hamburger, 175 pepperoni, 60 cheese, and 35 veggie. a) If Pete's sales remain consistent, how many pepperoni pizzas will he have sold when the total number of pizzas sold reaches 1600? b) How would the circle graph be different if Pete had sold 200 pepperoni pizzas, 100 hamburger pizzas, 50 veggie pizzas, and 50 cheese pizzas?
Answers
Answer:
A) [tex]\boxed{\sf 700 \ pepperoni \ pizzas}[/tex]
B) See the attached file!
Step-by-step explanation:
Total pizza sales in the pie chart = 175+60+35+130
=> 400 total Pizzas
Out of these 400, there are 175 pepperoni pizzas
So,
Pepperoni Pizzas = 175/400 = 7/16 (Simplest form)
So,
Among 1600 pizzas, pepperoni pizzas would be:
=> [tex]\frac{7}{16} * 1600[/tex]
=> 7 * 100
=> 700 pepperoni pizzas
Part B)
See the attached file:
Answer:
[tex]\sf a) \ 700 \\ b) \ \sf view \: attachment[/tex]
Step-by-step explanation:
Part A:
Calculate the total parts:
[tex]130+175+60+35[/tex]
[tex]=400[/tex]
Out of 400 pizzas, 175 are pepperoni.
[tex]\frac{175}{400}[/tex]
The sales remain constant, if the total number of sold pizzas reaches 1600 then:
[tex]\frac{175}{400} \times 1600[/tex]
[tex]=700[/tex]
Out of the 1600 pizzas sold, 700 would be pepperoni.
Part B:
(attachment)
Pepperoni pizza:
[tex]\frac{200}{200+100+50+50} =\frac{1}{2}[/tex]
Hamburger pizzas:
[tex]\frac{100}{200+100+50+50} =\frac{1}{4}[/tex]
Veggie and cheese pizzas:
[tex]\frac{50}{200+100+50+50} =\frac{1}{8}[/tex]
What is the probability of rolling a 2 and then rolling a 5 on two consecutive rolls of a fair 6-sided die?
i kinda need quick answer pls tyy
Answers
Answer:
1/36
Step-by-step explanation:
1/6x1/6=1/36
help me plz i need help i need help
Answers
Answer:
the third one
PLZ ANSWER, I NEED TO KNOW!!!!!
Answers
Answer:12 3/20
Step-by-step explanation:
PLEASE HELP. FIRST CORRECT ANSWER WILL GET BRANLIEST. IF YOU ANSWER WITHIN A FEW MINUTES AFTER ASKED, WILL GIVE 10 THANKS
Answers
Answer:
[tex]x=19[/tex]
Step-by-step explanation:
First, note that Angle X and angle Y are angles formed when two parallel lines are being cut by a transversal. This makes Angle X and Y consecutive interior angles. Consecutive interior angles are supplementary.
Therefore:
[tex](3x-5)+(90+2x)=180[/tex]
[tex]5x-5=90[/tex]
[tex]5x=95[/tex]
[tex]x=19[/tex]
Camillo used the calculations shown to determine how much he would spend on 2,400 oz of jelly. 48 ounces of jelly costs 3 collars and 84 cents. (StartFraction 48 ounces Over 3 dollars and 84 cents EndFraction) (StartFraction question mark ounces Over 1 dollar EndFraction). Unit price = 13 dollars and 79 cents. 13 dollars and 79 cents (2,400) = 33 thousand and 96 dollars. What is his error? He placed the decimal point incorrectly when dividing. He placed the decimal point incorrectly when multiplying. He wrote the rate incorrectly. He did not make an error.
Answers
Answer:
He wrote the rate incorrectly
Step-by-step explanation:
Camille's calculation
(48/$3.84)(?/s1)
48x/3.84
=$13.79
The correct calculation
(48/$3.84)(?/s1)
48x/3.84
=$12.50
To find the error in Camille's calculation
(48/$3.84)(?/s1)
48x/3.84
=$13.79
We will divide 48 ounces of jelly by $13.79 to get the rate
48/13.79
=$3.48
Therefore, Camille wrote the rate incorrectly by interchanging .84 after the decimal for .48
Yvette likes to increase the distance she runs by 1% each day. If yesterday Yvette ran 10.75km, how much further is she going to run today?
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
The multiplier for 1% would be 1.01
Multiply her distance from yesterday by this value
new distance = 10.75 x 1.01
new distance = 10.8575
I'm assuming you'd want the answer to 2 d.p (however, you can round accordingly if needed otherwise)
Subtract the two values
10.8575 - 10.75 = 0.1075
So, to 2 d.p your answer would be 0.11 km
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Hope this helps:)
if [tex]x < 0[/tex] and [tex]y < 0[/tex] ,where is the point (x,y) located?
a) quadrant I
b) quadrant II
c) quadrant III
d) quadrant IV
Answers
Answer:
c) quadrant III
Step-by-step explanation:
I will be quick in this question:
[tex]\text {For }y<0 \Rightarrow \text{Quadrant III or Quadrant IV}[/tex]
[tex]\text {For }x<0 \Rightarrow \text{Quadrant II or Quadrant III}[/tex]
What both have in common?
So, the answer is Quadrant III.
Answer:
Quadrant III
Step-by-step explanation:
x < 0 is the area to the left of the y-axis, and y < 0 is the area beneath the x-axis. This point is therefore located in Quadrant III.
50 POINTS!! Drag each label to the correct location on the image. Not all labels will be used. The values of a, b, and c in scientific notation are 3.47 × 10-6, 4.61 × 107, and 5.52 × 107, respectively. Complete the following sentences. Round so the first factor goes to the hundredths place. a*b a/b c/a 1.60 16.0 × 101 1.60 × 102 1.59 × 1013 0.75 × 10-13 7.53 × 10-13 7.53 × 10-14 1.59 × 101
Answers
Answer:
[tex]\boxed{a*b = 1.60 * 10^2}[/tex]
[tex]\boxed{a/b = 7.53 * 10^{-14}}[/tex]
[tex]\boxed{c/a = 1.59 * 10^{13}}[/tex]
Step-by-step explanation:
a = [tex]3.47 * 10^{-6}[/tex]
b = [tex]4.61 * 10^7[/tex]
c = [tex]5.52*10^7[/tex]
Finding a*b:
a*b =( [tex]3.47 * 10^{-6}[/tex] )*( [tex]4.61 * 10^7[/tex])
= (3.47*4.61) * ([tex]10^{-6}*10^7[/tex])
When bases are same, powers are to be added
= 15.997 * [tex]10^{-6+7}[/tex]
= 15.997 * [tex]10^1[/tex]
= 159.97
Rounding it off
=> 1.60 * 10²
Finding a/b:
=> [tex]\frac{3.47*10^{-6}}{4.61*10^7}[/tex]
Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]
=> 0.753 * [tex]10^{-6-7}[/tex]
=> [tex]7.53*10^{-1}*10^{-13}[/tex]
=> [tex]7.53 * 10^{-1-13}[/tex]
=> 7.53 * 10⁻¹⁴
Finding c/a:
=> [tex]\frac{5.52 * 10^7}{3.47*10^{-6}}[/tex]
=> 1.59 * [tex]10^{7+6}[/tex]
=> 1.59 * 10¹³
Answer:
a × b = 1.60 × 10^2
a/b = 7.52 × 10^-14
c/a = 1.59 × 10^13
Step-by-step explanation:
a = 3.47 × 10^-6
b = 4.61 × 10^7
c = 5.52 × 10^7
Solve a × b
(3.47 × 10^-6) × (4.61 × 10^7)
When bases are same in multiplication, we add the exponents.
15.9967 × 10^1
Decimal point is after first non-zero digit. Round to hundredths.
1.60 × 10^2
Solve a/b
(3.47 × 10^-6)/(4.61 × 10^7)
When bases are same in division, subtract the exponents.
3.47/4.61 × 10^-14
0.75271149674 × 10^-14
Decimal point is after first non-zero digit. Round to hundredths.
7.52 × 10^-14
Solve c/a
(5.52 × 10^7)/(3.47 × 10^-6)
When bases are same in division, subtract the exponents.
5.52/3.47 × 10^13
1.59077809798 × 10^13
Round to hundredths.
1.59 × 10^13
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
Use the polygon tool to graph the dilated figure.
Answers
Answer:
(2,4), (6,4), (2,-2), (6,-2)
Step-by-step explanation:
To dilate a figure multiply 2(x,y)
2(1,2) = (2,4)
2(3,2) = (6,4)
2(1,-1) = (2,-2)
2(3,-1) = (6,-2)
Hope this helps! Ξ