Use the AA similarity Postulate to prove the diagram has two similar
triangles. Name the triangles correspondingly.
Answer:
Triangle PRT is similar to triangle SRQ
Step-by-step explanation:
AA similarity Postulate :If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
one angle is already given : angle RPT congruent to angle RSQ
The other is : angle TRP congruent to angle SRQ (both triangles share the same angle)
Triangle PRT is similar to triangle SRQ (AA postulate)
I took a picture of the problem.
Step-by-step explanation:
[tex] - {3}^{2} m {n}^{5} m {n}^{2} {m}^{6} = \\ = - 9 {m}^{8} {n}^{7} [/tex]
2. Find the area of the regular polygon.
*HINT* - You must solve for the side of the octagon before you can find the area of the figure.
a. What is the Perimeter of the figure?
b. What is the area of the figure?
Answer:
a. 80 units
b. 482.843 units²
Step-by-step explanation:
First things first, we need to solve for the side of the octagon. We can do so by using Pythagorean Theorem: a² + b² = c² where c is the hypotenuse and a and b are the other two sides.
12² + b² = 13²
144 + b² = 169
b² = 25
b = 5
Now that we know half of the side of the octagon is 5, we know that one side of the octagon is 10.
a. To find perimeter we just add every side together (or since every side is the same size, we multiply by 8)
10 × 8 = 80
b. The formula for finding the area of an octagon is 2(1 + radical 2)a² where a is the length of a side. By plugging in to a calculator we get:
2(1 + radical 2)(10)² = 482.843
Carrie. Hugo, and Zane fold some paper stars. Carrie folds 5 more stars than Zane. Zane folds 6 more stars than Hugo. How many more stars does Carrie fold than Hugo?
Answer:
11 stars
Step-by-step explanation:
From the first statement, we have:
[tex]Carrie = 5 + Zane[/tex]
From the second, we have:
[tex]Zane = 6 + Hugo[/tex]
To get the number of start Carrie has than Hugo:
Substitute 6 + Hugo for Zane in [tex]Carrie = 5 + Zane[/tex]
[tex]Carrie = 5 + 6 + Zane[/tex]
[tex]Carrie = 11 + Zane[/tex]
This means that Carrie has 11 more than Zane
A Fish tank can hold 75 gallons of water. There is a crack in the fish tank letting out 5 gallons per minute. How long will it take for
the fish tank to lose 20 gallons?
How long will the fish tank take to be completely empty?
Answer:
It will take 4 minutes for 20 gals, 15 for the whole thing.
Step-by-step explanation:
Answer:
4 minutes to lose 20 gallons, and 15 minutes to empty the tank.
Step-by-step explanation:
20 divided by 5, and 75 divided by 5
I need help with this geometry question. Please show work:)
2. An Evergreen Eagle flies about 13 meters in one second. How many kilometers could it fly in 20 minutes? *
Answer:
Evergreen Eagle can will fly 1.56 km in 20 minutes.
Step-by-step explanation:
Speed of Evergreen Eagle = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
= [tex]\frac{13}{1}[/tex]
= 13 meters per second
With this speed Eagle can fly the distance in 20 minutes Or 120 seconds
= Speed × Time
= 13 × 120
= 1560 meters
Since, 1000 meters = 1 Km
1 meter = [tex]\frac{1}{1000}[/tex] km
Therefore, 1560 meters = [tex]\frac{1560}{1000}[/tex]
= 1.56 km
Therefore, Evergreen Eagle can will fly 1.56 km in 20 minutes.
Hayley is filling small cone-shaped cups with clay for an art project. Each cup has a height of 4 centimeters and a diameter of 1.5 centimeters. If Hayley has 25 cm³ of clay, how many cones can she fill? *need answer NOW*
Answer:
10.6 cones
Step-by-step explanation:
Given data
h= 4cm
d= 1.5cm
r= d/2= 0.75cm
The expression for the volume of a cone is
V= 1/3πr^2h
substitute
V= 1/3*3.142*(0.75)^2*4
V= 1/3*3.142*2.25
V=1/3*7.0695
V= 2.3565cm^3
Since the volume of 1 cone is 2.4cm^3
She can fill
=25/2.3565
=10.6 cones
About 10.6 cones
How do you find averages
Answer:
You add up all numbers then divide it by how many numbers.
Step-by-step explanation:
Example. You have 1, 2, 3, 4, 5.
So 1+2+3+4+5
=15
Then 15÷5
So answer would be 3.
Hope this helps.
Find the area of a circle with radius 36 cm. Use = 3.14.
A.226.08 cm
B.2,034. 72 cm?
C.4069. 44 cm
D.8,138.88 cm?
Answer:
C
Step-by-step explanation:
Hey There!
The first step of this equation is to find the formula for area of a circle
[tex]A=\pi r^2[/tex]
r = radius
now we just plug in the 36
[tex]36^2=1296\\1296x3.16=4069.44[/tex]
so we can conclude that the answer is C
v) Find the perimeter of the rectangle whose length is 60m and breadth is 55m
vi) Find the perimeter of a square room with side equal to 8m each.
Answer:
Step-by-step explanation:
l = length
b = breadth
We know the length is twice the breadth, therefore l = 2b
We also know that the perimeter p = 60m and can also be expressed as a sum of its sides where p = l + l + b + b = 60 which simplified is:
60 = 2l + 2b
Now we have 2 variables, but thankfully we were given a ratio (l = 2b) relating the two. Substituting 2b in for l gives us:
60 = 2(2b) + 2b = 4b + 2b = 6b
60 = 6b
b = 10 m
Now that we know the breadth we can find the length:
l = 2b → l = 2(10) = 20 → l = 20 m
With a breadth of 10 m and a length of 20 m
The 1st 3 terms of an A.P., a, a+d, and a+2d, are the same as the 1st 3 terms of a G.P.( a is not equal to 0). Show that this is only possible if r=1 and d=0
Answer:
See Below.
Step-by-step explanation:
The first three terms of an A.P is equivalent to the first three terms of a G.P.
We want to show that this is only possible if r = 1 and d = 0.
If a is the initial term and d is the common difference, the A.P. will be:
[tex]a, a+d, \text{ and } a+2d[/tex]
Likewise, for the G.P., if a is the initial term (and it does not equal 0) and r is the common ratio, then our sequence is:
[tex]a, ar,\text{ and } ar^2[/tex]
The second and third terms must be equivalent. Thus:
[tex]a+d=ar\text{ and } a+2d=ar^2[/tex]
We can cancel the d. Multiply the first equation by -2:
[tex]-2a-2d=-2ar[/tex]
We can now add this to the second equation:
[tex](a+2d)+(-2a-2d)=(ar^2)+(-2ar)[/tex]
Simplify:
[tex]-a=ar^2-2ar[/tex]
Now, we can divide both sides by a (we can do this since a is not 0):
[tex]-1=r^2-2r[/tex]
So:
[tex]r^2-2r+1=0[/tex]
Factor:
[tex](r-1)^2=0[/tex]
Thus:
[tex]r=1[/tex]
The first equation tells us that:
[tex]a+d=ar[/tex]
Therefore:
[tex]a+d=a(1)\Rightarrow a+d=a[/tex]
Hence:
[tex]d=0[/tex]
Q.E.D.
Draw three line segments
P(4, 2) to H(4, 8)
G(4, 6) to J(7, 6)
H(4, 8) to K(8, 8)
The value of the expression 2x²+ 3x for x = 2 is:
Answer:
Step-by-step explanation:
lets replace x with 2
2(2^2)+3(2)=2*4+6=8+6=14
Ellie and Lily share
bananas in the ratio 3: 4. If
Lily gets 24 how many
bananas does Ellie get?
Answer:
Ellie gets 18 bananas. your welcome
Answer:
18
Step-by-step explanation:
The 4 part of the ratio refers to Lily's 24 bananas
Divide 24 by 4 to find the value of one part of the ratio
24 ÷ 4 = 6 ← value of 1 part of the ratio, then
3 parts = 3 × 6 = 18
Ellie gets 18 bananas
What is the cosine equation of the function shown?
Answer: f(x)=5cos(x+pi/3)+4
Step-by-step explanation: I just tool the quiz
Pls helppppppp ASAP this kind of hard
Answer:
rhombus sides are equal.
7y=4y+21
7y-4y=21
3y=21
y=21/3
y=7
3x=45°(by alternate interior angle)
x=45/3
x=15
y
which expression would be easier to simplify if you used the associative property to change the grouping?
Answer:
The real answer is D
Step-by-step explanation:
Please help will give brainliest
For Anya's birthday her father gave out colorful birthday hats that were
cone shaped. Anya was very happy that day. The opening of the bottom of
the hat was 3 cm and the height of the cone was 7 cm. Anya fills her hat
with candy. What is the approximate volume of candy?
Answer: 21 cm is the volume
Step-by-step explanation: multiply 7cm x3 cm
After two years, the ash tree grew 51 inches. What is the unit rate? Use a ratio table to find the vertical growth after five years.
Answer:
ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
Mr. Fisherman spent his weekend working in his yard. He had 1/6 of a bag of soil that he spread evenly among his 2 garden beds. How much soil did he put in each garden bed?
Answer:
1/12 per bag
Step-by-step explanation:
A Fisherman spent his weekend working on his farmland
He had 1/6 of a bag of soil
He spreads it evenly among his 2 garden beds
Therefore the soil in each garden bed can be calculated as follows
= 1/6 ÷ 2
= 1/6 × 1/2
= 1/12 per bag
A cut is made to the shape shown below at an angle from the top of the shape to the base of the shape. What is the shape of the cross
section that results from the cut?
A square
B. parallelogram
C. rectangle
D. triangle
Answer:
square
Step-by-step explanation:
why is this labeled high school this is so simple
HELP EASY MATH CLICK THIS PLEASE ANSWER LATE DUE LAST WEEK EASY
Answer:
344 m^2
Step-by-step explanation:
Area of the 2 triangles: (2)(1/2)(10)(5)=50
Area of three sides:3(7)(14)=294
294+50=344
Answer:
246
Step-by-step explanation:
Find the x-intercept of the following equation. Simplify your answer.
x + 6y = 9. Can someone pls help me?
Answer:
y intercept=3/2
Step-by-step explanation:
First of all, write it in slope intercept form
y=-1/6x+3/2
y=mx+b
b=y-intercept
y intercept=3/2
x+6y=9
y=0
x+6(0)=9
x=9
Please answer this below Question # 15
Answer:
[tex]c. \: 5x - 2y = 10 \\ \: \: \: \: \: 10x - 4y = 20 \\ [/tex]
You are planning to retile the walls around your bathtub. You measure the dimensions of the wall and find that the length of the tub is 7 feet, the width of the tub is 2 feet and the height of the wall is 5 feet. You go to the hardware store to pick out some tile. You find ones that you like. There are 4 sizes of tile and are priced differently. The prices are 1 square inch tile is 10 cents, 6 square inch tile is 25 cents, 8 square inch tile is 75 cents and 18 square inch tile is $1.50. Find the best deal (price) for tile in order to tile your bathroom. How much will you spend? Why is this the best deal? Show ALL OF YOUR WORK and explain how you found the answer.
Answer:
it is the best deal cause i said
Step-by-step explanation:
0.7x − 0.2 = 8.3x + 7.2
Answer: -37/38
Step-by-step explanation:
A species of bacteria is 10 micrometers long. A virus is 10,000 times smaller than bacteria. a. Using the table above, find the length of the virus in meters. Write the answer as a power. The virus is meter long
Answer:
[tex]10^{-4}[/tex] times 10 micrometers (or [tex]10^{-5}[/tex]) is [tex]10^{-9}[/tex]
Answer:
It's as long as the centimeter
Step-by-step explanation:
doing 0.000001x10,000 gives you .01
If I'm wrong flame me
Sam receives $50,000 for his monthly salary. If he pays $8,000 for electricity bill, $2,000bfor water bill and $10,000 for grocery. What percentage does he have left?
Answer:
60%
Step-by-step explanation:
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