Answer:
A
Step-by-step explanation:
xy = 10/5 = 2
the other wrong because
xy = 1
xy = ½
xy = 11
AABC is shown below. GE = -3y + 18 and GF = 5y + 2.
E
B
F
Find the measure of the radius of the inscribed circle of AABC.
Radius =
Answer:
Radius = 12
Step-by-step explanation:
For an inscribed circle of a triangle ABC,
GE = GF = GD = radius of the inscribed circle
Therefore, (-3y + 18) = (5y + 2)
-3y + 18 - 5y = 5y + 2 - 5y
-8y + 18 = 2
-8y + 18 - 18 = 2 - 18
-8y = -16
8y = 16
[tex]\frac{8y}{8}=\frac{16}{8}[/tex]
y = 2
Therefore, GE = -3y + 18
= -3(2) + 18
= -6 + 18
= 12
Radius of the inscribed circle = GE = 12 units
The measure of the radius of the inscribed circle is 12 units
From the given diagram, GE = GF
Given the following parameters:
GE = -3y + 18 and:
GF = 5y + 2
Equating both expressions
-3y + 18 = 5y + 2
-3y - 5y = 2 - 18
-8y = -16
y = 16/8
y = 2
The measure of the radius of the inscribed circle is GE
GE = -3y + 18
GE = -3(2) + 18
GE = -6 + 18
GE = 12 units
Hence the measure of the radius of the inscribed circle is 12 units
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The sum of the measures of angles for a triangle is 180°. Find the value of x and then the measures of the 3 angles
Answer:
The value of x is 50
The measures of the 3 angles are 50°, 100°, 30°
Step-by-step explanation:
Let us solve the question
∵ The sum of the measures of the angles of a triangle is 180°
∵ The measures of the 3 angles of the given Δ are x°, 2x°, (x - 20)°
→ Add them and equate the sum by 180
∴ x° + 2x° + (x - 20)° = 180°
→ Add the like terms
∵ (x + 2x + x) + (-20) = 180
∴ 4x - 20 = 180
→ Add 20 to both sides
∵ 4x - 20 + 20 = 180 + 20
∴ 4x = 200
→ Divide both sides by 4 to find x
∴ x = 50
∴ The value of x is 50
To find the measures of the 3 angles substitute x by 50 in their expressions
∵ The measure of one angle is x
∴ The measure of the 1st angle is 50°
∵ The measure of the 2nd angle is 2x
∴ The measure of the 2nd angle = 2(50)
∴ The measure of the 2nd angle is 100°
∵ The measure of the 3rd angle is (x - 20)
∴ The measure of the 3rd angle = (50 - 20)
∴ The measure of the 3rd angle is 30°
∴ The measures of the 3 angles are 50°, 100°, 30°
for questions 3 & 4. Determine whether the triangles are similar. If similar, state how (SA, SSS, or SAS), and write a similarity statement
9514 1404 393
Answer:
3. ΔBEA ~ ΔBCD by AA
4. ΔPXY ~ ΔPQR by SSS
Step-by-step explanation:
3. The missing angle in ΔBEA is angle E, which has measure ...
∠E = 180° -42° -53° = 85°
So, angle E matches angle C, and the vertical angles match. The two triangles are similar by AA. The corresponding angles are B:B, and E:C, so the similarity statement needs to reflect that: ΔBEA ~ ΔBCD.
__
4. Shortest-to-longest, the side ratios of the two triangles are ...
12 : 15 : 18 = 4 : 5 : 6
and
16 : 20 : 24 = 4 : 5 : 6
Side ratios are proportional, so the triangles are similar by SSS. The similarity statement can reflect the same ordering: ΔPXY ~ ΔPQR.
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she finishes. Jason earns $10 for every 250 envelopes he finishes.
A) Create tables, draw graphs, and write equations that show the earnings, y, as functions of the number of envelopes stuffed, x, for both Anna and Jason.
Answer:
The answer is below
Step-by-step explanation:
A) i)
For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 10 20 30 40 50
ii)
For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 8 16 24 32 40
The graph is plotted using geogebra online graphing
what time does the clock shows?
Answer:
Any from 1 to 12
Step-by-step explanation:
Answer:
7:08
Step-by-step explanation:
HELP PLEASE QUESTION IS IMAGE
9514 1404 393
Explanation:
There are several possible properties in each case. We have shown one of them.
a) squares and rectangles have four (4) angles of 90°.
b) squares have sides of equal length; rectangles may not.
c) rhombi and squares have diagonals that bisect each other at right angles
d) rhombi have sides of equal length; parallelograms may not.
e) opposite sides of all parallelograms are equal length.
Camelia misses 8 points on the first math test. She misses 5 points on the second math test. What integer represents the number of points Camelia misses on the first two tests?
Answer:
13.
Step-by-step explanation:
If she misses 8 on the first and 5 on the next, you need to add to find the total number of points missed overall. 8 + 5 = 13. Therefore, she missed 13 points on the first two tests.
the real square root of -16
Answer:
ur answer is 4 hope it helps
Please hurry
Lacy is running to raise money in a fundraiser. If her goal is to run 75 miles, how many full days would she leave have to run if she ran the distance of 3.5 miles each day?
Answer: 21 Full days
Step-by-step explanation:
Divide 3.5 by 75
Answer:
22
Step-by-step explanation:
You divide the number of miles by the miles per day and you get 21.43 and it says whole days so you have to round up to 22 days.
Hi, I need help please!! Given that x=3 and x=-4 are the solution of the equation x2+ax+b=0, find the value of a and of b. Answer: a=1, b=-12. I don’t know how to get the answer. Please show your workings and explain. If you help me, I will give Brainliest Answer Award to you. The topic is simultaneous equations, algebra. This question is from a Grade 8 workbook.
Answer:
a = 1, b = - 12
Step-by-step explanation:
we know that x = 3 and x = - 4, so (x - 3) and (x + 4) must be the factors of the equation:
(x - 3)(x + 4)
x^2 + - 3x + 4x - 12
x^2 + x - 12
therefore a = 1 and b = - 12
Step-by-step explanation:
firstly substitute x=3 into [tex]x^{2} +ax+b=0[/tex]
[tex]3^{2} +3a+b=0[/tex]
9+3a+b = 0
b = -3a-9
secondly substitute x=-4 into [tex]x^{2} +ax+b=0[/tex]
[tex](-4)^{2} +(-4)a+b=0[/tex]
16-4a+b = 0
b = 4a-16
combine the equations above,
-3a-9 = b = 4a-16
so -3a-9 = 4a-16
7a = 7
a = 1
then substitute a = 1 into b = 4a-16 or b = -3a-9 (both are ok)
b = 4(1)-16 = -12 or b = -3(1)-9 = -12
I need help please thanks.
Answer:
w =20.3
Step-by-step explanation:
i hope this helps you sorry i was late for your last question.
Answer:
w=20.3
Step-by-step explanation:
A number plus 1/3 of the number can be expressed as
Answer:
1/3 + n
Step-by-step explanation:
Let "n" be any number. Keep in mind that plus means addition.
1/3 + n
Best of Luck!
Answer:
n + 1/3n
Step-by-step explanation:
Which cereal is a better buy and how much does it cost per ounce? Cereal A: 18 oz for $3.96 or Cereal B: 24 oz for $4.80?
Answer:
Cereal B
Step-by-step explanation:
You need to divide the price by its ounces to find the price per ounce.
Cereal A is 3.96/18= 0.22 per ounce
Cereal B is 4.80/24= 0.20 per ounce
This shows that cereal B is cheaper per ounce
HELP PLEASE, QUESTION IS IMAGE
Answer:
angle 1= agle 2 corresponding ang 3+2 linear pair ang m1=n3 hence angle 1=angle 3
An airplane on autopilot took 5 hours to travel 3,460 kilometers. What is the unit rate for kilometers per hour?
Filippo Brunelleschi purchased school supplies at Office Emporium for $97.62. He then purchased a dictionary for $22.95 and a CD for $14.78 at Books Express. For all purchases he must pay the state sales tax of 6.5% and the county tax of 0.5%. What is the total tax on his purchases?
A) $7.49
B) $8.47
C) $9.47
D) $9.89
Answer:
C
Step-by-step explanation:
97.62+22.95+14.78=135.35
135.35*.07
9.4745
Rounded to 9.47
Una caixa plena de raim pesa 21 kilos. Si el raim que hi ha pesa 19 quilo, quant pesa la caixa buida
Aquesta pregunta és incompleta
Pregunta completa
Una caixa plena de raïm pesa 21 quilos. Si el raïm d’allà pesa 1.9 quilos, quant pesa la caixa buida
Answer:
7.6 quilograms
Step-by-step explanation:
Pas 1
Convertim el pes de la caixa completa de raïm a quilograms
1 lliura = 0.454 quilograms
21 lliures = x
Creu Multiplicar
x = 21 × 0.454 quilograms
x = 9.52544 quilograms
Aproximadament 9.5 quilograms
Ens van dir que el raïm d’allà pesava 1.9 quilos,
Per tant, el pes de la caixa buida és
= 9.5 - 1.9
= 7.6 quilograms
El pes de la caixa buida és de 7.6 quilograms
Please help due in 10 minutes
It's been awhile since I've done this but I think that D is the answer hope this helps
plzzzzzzzzzzzzzzzzzzzz
Answer:
(y+1)^3
Step-by-step explanation:
power 5 is subtracted by power 2 as our rule says that powers when divided have to be subtracted. Hence the above mentioned ans comes.
Hope this helps you
Answer:
(y + 1)³
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]
Given
[tex]\frac{(y+1)^5}{(y+1)^2}[/tex] ← with a = (y + 1 ) , then
= [tex](y+1)^{(5-2)}[/tex]
= (y + 1)³
I need to find the value of X if someone could help that’ll be great! Thank you
A length of pipe is 6cm to the nearest meter. Complete the error interval for the length of pipe.
Answer:
My answer
Step-by-step explanation:
First you convert it and it is 0.06 m. This is because
Conversion factor: 1 m = 100 cm
1) m = cm / 100
2) m = 6 / 100
3) m = 0.06
Then you do the error interval. Error interval – the range of values (between the upper and lower bounds) in which the precise value could be. Thn you caculate it by when you do this x2 then do <. For example 5>3. The do that there now you should have the answer. Dont frget put L in frount of 0.06 x2. Thank you. Hoped this helped! :)
There are 12 members in a family and 8of them are males find the ratio of the number of females and the total numbers of members
Answer:
1 : 3
Step-by-step explanation:
Total members = 12
No. of Males = 8
No. of Females = 12 - 8 = 4
Ratio of the number of females and the total numbers of members = 4/12 = 1/3 = 1 : 3
At the end of a football season a coach is adding up everyone's scores nathan has scored 11 more than harry harry has scored 10 more then jack. If the total of their scores is 91, how much did harry score
Answer:
Harry has a score of 30
Step-by-step explanation:
Let us represent their scores as:
Nathan = x
Harry = y
Jack = z
At the end of a football season a coach is adding up everyone's scores
Nathan has scored 11 more than harry
x = y + 11
Harry has scored 10 more then jack.
y = z + 10
z = y - 10
If the total of their scores is 91
x + y+ z = 91
y + 11 + y + y - 10 = 91
3y + 1 = 91
3y = 91 - 1
3y = 90
y = 90/3
y = 30
Since Harry's score is represented as y, Harry has a score of 30
PLEASE HELP MY MOM WILL KILL ME ANSWER WILL GIVE 60 POINTS IN NEXT QUESTION IF CORRECT PLEASE AND BRAINLIST PLEASE PLEASE PLEASE
Answer:
rip
Step-by-step explanation:
here lies the person who got killed by there mom bc she didnt figuar out what 2+2= she relly thought it was five
Answer:
9) 60 artists
10) 27 black shoes
11) Alexandra is wrong, 30% of 60 and 60% of 30 are equivalent, they both equal 18.
12) 96 dogs
13) 125 students
14) 600 students
15) 50 tulips
16) 70 cars
17) The percent that Rory uses has to be greater than 100.
Pls help will give Brainiest
Answer:
-5
Step-by-step explanation:
A vacuum cleaner manufacturer offers to its customers two models, three choices of colors, and six accessory packages. How many vacuum sets are required for a complete display
Answer:
36 Vacuum sets
Step-by-step explanation:
Calculation for How many vacuum sets are required for a complete display.
Using this formula
Numbers of required vacuum sets=Models* Choices of colors*Accessory packages
Let plug in the formula
Numbers of required vacuum sets=2*3*6
Numbers of required vacuum sets=36 vacuum sets
Therefore the vacuum sets that are required for a complete display is 36 vacuum sets
2. When three or more lines intersect at one point, they are
(1 + 2) x 2
it equals 6
Answer:
yes you have to use PEMDAS
Step-by-step explanation:
Examine the work shown. Explain the error and find the
correct result
204-16)-(-30)
2(-12) - (-30)
24-(-30)
54
Answer:6.8
or x = 102/15
step by step explanation:
30x=204
204/30
Which function represents g(x), a reflection of f(x) = On a coordinate plane, 2 exponential functions are shown. g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1) and crosses the y - axis at (0, 0.5).(3)x across the y-axis?
g(x) = 2(3)x
g(x) = −One-half(3)x
g(x) = One-half(3)−x
g(x) = 2(3)−x
Answer: C. g(x) = 1/2(3)^-x
Step-by-step explanation: IT ISNT D
This is also my 900th answer! :)
The reflection of the given function [tex]f(x)=\frac{1}{2}(3)^x[/tex] over the y-axis [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]
What is a function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is reflection?"It is a mirror image of the shape or graph of a function. "
For given question,
We have been given a function [tex]f(x)=\frac{1}{2}(3)^x[/tex]
We know that
A reflection over the y-axis interchanges positive x-values with negative x-values, swapping x and -x.
The reflection of the given function over the y-axis will be equal to
(Remember interchanges positive x-values with negative x-values)
[tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]
Therefore, the reflection of the given function [tex]f(x)=\frac{1}{2}(3)^x[/tex] over the y-axis [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]
Learn more about the reflection of function here:
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