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The diagram shows two parallel lines cut by a transversal. One angle measure is shown.
Find the values of A B C D E F and G
Answer:
a= 126
b= 54
c= 126
d= 54
e= 126
f= 54
g= 126
Step-by-step explanation:
To find a you would subtract 54 from 180 which would give you 126
Since a and b are another linear pair they would also add up to 180.
Then you move to c which is a linear pair with 54 so it is 126.
Because a and g are alternate interior angles they are congruent and they you continue with the same process for the first and check by seeing if the angles would be obtuse or acute to see if the angle measures would be correct.
The measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
It is given that:
The diagram shows two parallel lines cut by a transversal.
As we know from the definition of the vertically opposite angles:
b = 54 degrees
a + c = 54 + b (a = c)
2a = 54x2
a = 54 degrees
Since a and g are opposite interior angles, they are congruent, so you proceed with the process as you did for the first and check to see if the angles are acute or obtuse to ensure that the angle measurements are accurate.
Similarly:
b = 54
c = 126
d = 54
e = 126
f = 54
g = 126
Thus, the measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
Learn more about the vertically opposite angles here:
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Merideth measured 3.25 cups of flour and 1.625 cups of brown sugar into
a bowl. How many cups of ingredients did she have altogether in the
bowl?
Answer:
Step-by-step explanation:
This is just an addition question. If you have a calculator just add the numbers.
3.25 + 1.625 = 4.875 cups in the bowl.
Sometimes you can use another method. Sometimes it is shorter.
3 1/4 + 1 5/8 = 3 2/8 + 1 5/8 = 4 7/8.
7/8 = 0.875
right answer only please
Answer:
y3+2y2+49y+98
Step-by-step explanation:
Answer:
Your correct answer is = (y + 2)(y^2 + 49)
Step-by-step explanation:
y3 + 2y^2 + 49y + 98
= (y + 2)(y^2 + 49)
The table shows the numbers of snare drum backbeats and bass guitar.
what is the inequality ?
Answer:
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b. (those two are known as strict inequality)
Step-by-step explanation:
The midpoint of AB is M(-2,5). If the coordinates of A are (1,7), what are the
coordinates of B?
Answer:
(-5, 3)
Step-by-step explanation:
B = 2M - A
B = 2(-2, 5) -(1, 7) = (-4-1, 10-7) = (-5, 3)
4 hundredths +8 hundredths =
Express your answer in standard form
Answer:
12 hundereds
Step-by-step explanation:
Answer:
.8000+.4000
Step-by-step explanation:
Write equations for the horizontal and vertical lines passing through the point , −8−5.
what is the x intercept x- 9y = -45
Answer:
(-45,0)
Step-by-step explanation:
Answer:
(-45, 0)
Step-by-step explanation:
please help me will give brainliest to the correct answer :)
% of female doctors = 26.8%
No. of female doctors = 57,500
We have to find total number of registered doctors.
[tex]\tt\:\%_{Female\;doctors}=\dfrac{No.\;of\;femal\;doctors}{No.\;of\;total\;doctors}\times 100[/tex]
[tex]\leadsto\tt\:\%_{FD}=\dfrac{N_{FD}}{N_{TD}}\times 100[/tex]
[tex]\leadsto\tt\:26.8=\dfrac{57500}{N_{TD}}\times 100[/tex]
[tex]\leadsto\tt\:\dfrac{57500}{N_{TD}}=\dfrac{26.8}{100}[/tex]
[tex]\leadsto\tt\:\dfrac{57500}{N_{TD}}=0.268[/tex]
[tex]\leadsto\tt\:N_{TD}=\dfrac{57500}{0.268}[/tex]
[tex]\leadsto\:\boxed{\bf{N_{TD}\approx 214552}}[/tex]
∴ The total number of registered doctors ≈ 2,14,552
Hope It Helps!PLS ANSWER!
ASAP!
LOOK AT PIC!
Answer:
First one
Step-by-step explanation:
Given the points: J(-10, -7), K(-4,1), L(-3, 2), M(-6, -2), what is the relationship between
JK and LM?
Perpendicular
Neither
No answer text provided.
Parallel
Answer:
Parallel
Step-by-step explanation:
once graphed the lines never meet
8y = 4x - 1
Find the x and y intercepts of the line
Answer:
x-intercept=1/4 y-intercept= -1/8
Step-by-step explanation:
First, simplify the equation, y= 1/2x-1/8
Then you want to graph the equation with a slope of positive 1/2 starting at -1/8 that'll intercept across the x-axis at 1/4.
To find the y-intercept, you simply have to keep in mind that y=mx+b
b=y-intercept
So our y-intercept is stated in the equation after we simplified it
The equation below has one solution.
9x-10-3x+2
What is the solution to the equation?
o 2
0 1
0 1
02
what is f(x)=x/3-1/6 when f(x)=0.5
Answer:
2/6
Step-by-step explanation:
f(x)=0.5/3 - 1/6
f(x)=1/2 - 1/6
f(x)=3/6 -1/6
f(x)= 2/6
help how do i answer this plezz help
Answer:
2(6÷d)
Step-by-step explanation:
hope this helps :)
Points A, B, C, D, E, and F are located on the number line. A number line going from Negative 1 and StartFraction 3 Over 8 EndFraction to StartFraction 3 Over 8 EndFraction in increments of StartFraction 1 Over 8 EndFraction. Point E is at negative 1 and StartFraction 2 Over 8 EndFraction. Point B is at negative 1. Point D is at negative StartFraction 7 Over 8 EndFraction. Point C is at negative StartFraction 2 Over 8 EndFraction. Point A is at 0. Point F is at StartFraction 2 Over 8 EndFraction. Which statements are true about the numbers represented by the points? Check all that apply. The number represented by Point C is equal to the number represented by Point F. Point A is neither greater nor less than the numbers represented by the other points. Point D represents a number less than the number Point C represents. Point A represents a number greater than the number Point F represents. Point E represents the smallest number of all the numbers represented by points.
Answer:
The true statements are;
Point D represents a number less than the number Point C represents
Point E represents the smallest number of all the numbers represented by points
Step-by-step explanation:
The given information are;
The number line with points are
[tex]-1\frac{3}{8} , -1\frac{1}{4} , -1\frac{1}{8} , -1..., \frac{3}{8}[/tex]
In decimal format, with Microsoft Excel and Word, we have;
-1.375, -1.25, -1.125, -1, -0.875, -0.75, -0.625, -0.5, -0.375, -0.25, -0.125, 0, 0.125, 0.25, 0.375
We have, E = -1.25, B = -1, D = -0.875, C = -0.25, A = 0, F = 0.25
The correct options are;
Point D = -0.875 < Point C = -0.25
Point E = -1.25 which is the second number on the number line and the smallest number of the numbers represented by points
Answer:
d e
Step-by-step explanation:
What is .010 as a fraction?
In math?
Answer:
[tex]\frac{1}{100}[/tex]
I hope this helps!
Answer:
To write .010 as a fraction you have to write .010 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
.010 = .010/1 = 0.1/10 = 1/100
And finally we have:
.010 as a fraction equals 1/100
hope this helps:)
Look at the image to solve this problem.
Answer:
∠K RQ = 115Step-by-step explanation:
1st step is to get the internal ∠R
R + P + Q = 180R + 50 + 30 = 180R = 180 - 50 - 30R = 100to get the angle ∠K RQ (same as step 1)
K + R + Q = 180K + (100/2) + 15 = 180K = 180 - 50 - 15K = 115therefore, the angle ∠K RQ = 115
Iliana and Rod were asked to find the difference of (5.1 times 10 Superscript negative 15 Baseline) minus (2.3 times 10 Superscript negative 14 Baseline). As a first step, Iliana rewrote the problem as (0.51 times 10 Superscript negative 14 Baseline) minus (2.3 times 10 Superscript negative 14), and Rod rewrote the problem as (5.1 times 10 Superscript negative 15 Baseline) minus (0.23 times 10 Superscript negative 15 Baseline). Which person wrote a correct possible first step? Why?
Given:
The expression is
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14})[/tex]
First steps of Iliana and Rod are given.
To find:
Which person wrote a correct possible first step.
Solution:
We have,
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14})[/tex]
If we want -15 in the power of 10, then
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14-1+1})[/tex]
[tex](5.1\times 10^{-15})-(2.3\times 10^{-15}\times 10)[/tex]
[tex](5.1\times 10^{-15})-(23\times 10^{-15})[/tex]
Therefore, first step of Rod is incorrect.
If we want -15 in the power of 10, then
[tex](5.1\times 10^{-15+1-1})-(2.3\times 10^{-14})[/tex]
[tex](5.1\times 10^{-14}\times 10^{-1})-(2.3\times 10^{-14})[/tex]
[tex](\dfrac{5.1}{10}\times 10^{-14})-(2.3\times 10^{-14})[/tex]
[tex](0.51\times 10^{-14})-(2.3\times 10^{-14})[/tex]
Therefore, first step of Iliana is correct.
Answer:
B "Only Iliana is correct because Rod incorrectly equated 2.3 times 10 Superscript negative 14 and 0.23 times 10 Superscript negative 15."
explanation:
WILL MARK AS BRAINLIEST HELP!
Answer: No it is not, because 544 does not equal 256
when you do 12 to the power of 2 and 20 to the power of 2 it is 544. 16x16 equals 256
Ryan deposits $775 in an account that pays 1.24% simple interest for 4 years.
Brian deposits $775 in an account that pays 1.24% simple interest for 1 year
How much interest did Ryan's account earn the first year?
Answer:
19.22 US$
and
38.44 US$
Step-by-step explanation:
The interest Ryan's account earned for the first year is $9.61.
What is Simple Interest?Simple interest is based on the principal amount of a loan or the first deposit in a savings account.
Mathematically,
SI = PRT/100
here, P is principle amount, R is the rate and T is the time.
Now it is given that,
Principle deposited by Ryan, P = $775
Interest, R = 1.24%
Time, T = 4 years
And for Brian,
Principle, P = $775
Interest, R = 1.24%
Time, T = 1 year
And Simple Interest for Ryan for 1st year,
SI = PRT/100
⇒ SI = (775*1.24*1)/100
⇒ SI = $9.61
Thus, The interest Ryan's account earned for the first year is $9.61.
Learn more about simple interest:
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Find the sum of the first
20 odd numbers.
Answer:
Hi there.....
Step-by-step explanation:
This is ur answer......
1, 3, 5, 7, 9, 11, 13, 15.................39
Therefore the total sum = 400
hope it helps you,
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Answer:
400
Step-by-step explanation:
These are the first 20 odd numbers
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39
Put them in a calculator and you get: 400
what is the slope for the points (5,3) and (5,-9)?
m = (y2-y1)/(x1-x2)
m = (-9-3)/(5-5)
m = (-12)/0
Slope doesn't exist
USING STRUCTURE Select the expression equivalent to
[tex]( \sqrt[3]{5} )^{4} [/tex]
Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie’s cube has a side length of 5 centimeters, what is the volume of her cube (in cm cubed)?
Answer:
125 cm cubed
Step-by-step explanation:
To get the answer, you should muultiply length by width and then by height. Or 5 x 5 = 25, then 25 x 5 = 125 cm cubed
Answer:
124+1 cm cubed.
Step-by-step explanation:
-3 1/4 - 3/4
Please help thanks
Answer: -4
Step-by-step explanation:
Answer:
the answer is -4. Hope this helped,have a great day!
Step-by-step explanation:
the constant of proportionality from the equation y equals 1/2x____
fill in the blank please
The constant of proportionality is the number with the letter x.
The number with chicken in the above problem is 1/2
The answer is 1/2
Expand and simplify
1) 3 ( 2x + 1 ) + 5x
2) ( x + 3 ) ( x + 4 )
3) ( x + y ) ^2
4) ( 2x + 1 ) ( x - 3 )
→To simple the given equations
( 2x + 1 ) + 5x( x + 3 ) ( x + 4 )( x + y ) ²( 2x + 1 ) ( x - 3 )Answer:Part 1:[tex]\green{step \: 1}[/tex]
→[tex] 3 ( 2x + 1 ) + 5x[/tex]
[tex]\green{step \: 2}[/tex]
→[tex]6x + 3 + 5x[/tex]
[tex]\green{step \: 3}[/tex]
→[tex]\blue{11x + 3✓}[/tex]
part 2:[tex]\green{step \: 1}[/tex]
→[tex]( x + 3 ) ( x + 4 )[/tex]
[tex]\green{step \: 2}[/tex]
→[tex] {x}^{2} + 4x + 3x + 12[/tex]
[tex]\green{step \: 3}[/tex]
→[tex]\blue{ {x}^{2} + 7x + 12✓}[/tex]
part 3:[tex]\green{step \: 1}[/tex]
→[tex]( x + y ) ^2[/tex]
[tex]\green{step \: 2}[/tex]
→[tex] \blue{{x}^{2} + {y}^{2} + 2xy✓}[/tex]
part 4:[tex]\green{step \: 1}[/tex]
→[tex] ( 2x + 1 ) ( x - 3 )[/tex]
[tex]\green{step \: 2}[/tex]
→[tex]2 {x}^{2} - 6x + x - 3[/tex]
[tex]\green{step \: 3}[/tex]
→[tex]\blue{2 {x}^{2} - 5x - 3✓}[/tex]
★What do you mean by simplifying an equation:
Simplifying an evaluation means to solve any difficult or easy equation in as simple form as possible .★Steps we can do to simplify the equation:
Open brackets/parentheses to make the equation more simplified.Add /subtract numbers or numbers with same variable/constant.thankyou ❤️
Stefan has 4
1
2
cups of oats. He uses 3
1
4
cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs
1
4
of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left?
Answer:
5 days
Step-by-step explanation: