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3 years ago

PLEASE HELP ME. ILL OFFER MANY POINTS

Mathematics

1 answer:

Alina [70]3 years ago

7 0

Answer:

<h3> small angle: 24° ; middle angle: 72° ; large angle: 84°</h3>

Step-by-step explanation:

<u>x </u> - the smallest angle

<u>3x</u> - the middle angle

2x - twice the smallest angle

3·3x - 3 times the middle angle

twice the measure of the largest angle (the difference of 3 times the middle angle and twice the smallest angle): 3·3x - 2x = 7x

<u>7x÷2 = 3.5x</u> - the largest angle

The sum of angles in any triangle is 180°, so:

x + 3x + 3.5x = 180°

7.5x = 180° {divide both sides by 7.5}

x = 24°

small angle: <u>x = 24°</u>

middle angle: <u>3x = 3·24° = 72°</u>

large angle: <u>3.5·24° = 84°</u>

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Which two numbers have a mean of 10 and a range of 4

Elden [556K]

Answer:

12 and 8

Step-by-step explanation:

set two numbers as x and y

mean of 10 → x+y/2=10

range of 4 → x-y=4

x+y=20

+ x-y=4

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2x=24, x=12

12-y=4, y=8

6 0

3 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

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

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

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

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3 years ago

Write the expression using exponents. 8 x 8 x 8 x 8 x 8

MrRissso [65]

Answer:

Step-by-step explanation:

8 x 8 x 8 x 8 x 8

= 8² + 8²

=8²+²

=8^5

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3 years ago

What are the common factors of 15,45 and 90

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Answer= 1,3,5,15

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4 0

3 years ago

Read 2 more answers

Pls help I’m giving points

Sedaia [141]

Answer:

27/16

Step-by-step explanation:

this is because i added up 1/2 and 3/4 first, which gave me 1 1/4, and i converted this into just a single fraction without a whole number to make the adding easier for me which was 5/4.

(a whole number is the amount of times the bottom number of the fraction went into the top number so-... 4 goes into 5 one time which gives you a whole number of 1 and the fraction of 1/4. the 1 being left from the five.)

then i added 5/4 and 7/16 to get 1 11/16. which then converted into 27/16

5 0

3 years ago