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swat32
3 years ago
10

Question 3 of 10

Mathematics
1 answer:
alexandr402 [8]3 years ago
7 0
Answer a because...................
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The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x.
balu736 [363]
Equilateral triangle have the same side lengths. Perimeter = sum of all sides
(4x - 3) + (4x - 3) + (4x - 3) = 63
Remove parentheses
4x - 3 + 4x - 3 + 4x - 3 = 63
Combine like terms
12x - 9 = 63
12x = 72, x = 6

Solution: x = 6
4 0
2 years ago
Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try
ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

P=2(L+W)

where

L is the length of rectangle

W is the width of rectangle

we have

F(-2,5),R(-2,1),O(6,1),G(6,5)

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

so

FG=RO=L\\RF=OG=W

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance FG

F(-2,5),G(6,5)

substitute the values

d=\sqrt{(5-5)^{2}+(6+2)^{2}}

d=\sqrt{(0)^{2}+(8)^{2}}

FG=8\ units

step 2

Find the distance RF

R(-2,1),F(-2,5)

substitute the values

d=\sqrt{(5-1)^{2}+(-2+2)^{2}}

d=\sqrt{(4)^{2}+(0)^{2}}

RF=4\ units

step 3

Find the perimeter

P=2(L+W)

we have

FG=RO=L=8\ units\\RF=OG=W=4\ units

substitute

P=2(8+4)=24\ units

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

A=LW

we have

FG=RO=L=8\ units\\RF=OG=W=4\ units

substitute

A=(8)(4)=32\ units^2

8 0
3 years ago
Guys Can you please help me with this math
Likurg_2 [28]

Answer:

You can buy up to 6 candy bars with a soda

Step-by-step explanation:

7$-2.50$=4.50$

4.50$ / .75$ = 6

4 0
3 years ago
Please answer this
pentagon [3]

Answer:

14 in^3.

Step-by-step explanation:

The volume = volume of the bottom prism + volume of the top pyramid

= area of base * height of the prism + 1/3 * area of base * height of the pyramid

= 2 * 1.5 * 4 + 1/3 * (2*1.5) * 2

= 3*4 + 1/3 * 6

= 14 in^3.

6 0
3 years ago
How do you round 699 to the nearest tenth.
Nadusha1986 [10]
700 because the 9 in the tenth place is larger than 5
6 0
3 years ago
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