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3 years ago

NEED HELP 10-14!! SERIOUS ANSWERS ONLY 27 POINTS!! THANKS!

Mathematics

1 answer:

Sergio039 [100]3 years ago

5 0

Answers:

10.

B: Austin did not combine -3 and -9 correctly.

11.

x=8.5

12.

2r-4s

13.

10x+3y

14.

k=2

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The ratio of the measures of the angles in a triangle is 8:3:4 find the measures of the angles

NeTakaya

<h3>The measure of angles of triangle are 96 degree, 36 degree and 48 degrees</h3>

<em><u>Solution:</u></em>

The ratio of the measures of the angles in a triangle is 8:3:4

Let the first angle be 8x

Let the second angle be 3x

Let the third angle be 4x

We know that,

sum of all angles in triangle is 180 degrees

Therefore,

8x + 3x + 4x = 180

15x = 180

x = 12

Thus,

First angle = 8x = 8(12) = 96

second angle = 3x = 3(12) = 36

third angle = 4x = 4(12) = 48

Thus measure of angles of triangle are 96 degree, 36 degree and 48 degrees

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Varvara68 [4.7K]

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4 years ago

Yuri purchased 8 trees to have planted at his house. The store charged a delivery fee of $5 per tree.

cestrela7 [59]

Answer:

$16.

Step-by-step explanation:

Let t represent the cost of each tree.

We have been given that Yuri purchased 8 trees to have planted at his house. So the cost of 8 trees will be 8t.

We are also told that the store charged a delivery fee of $5 per tree. So the delivery charges of 8 trees will be $8\times \$5=\$40$

The total cost of purchasing 8 trees will be $8t+40$ .

Since the total cost of the trees including the delivery was $168, so we can get an equation as:

$8t+40=168$

$8t+40-40=168-40$

$8t=128$

Upon dividing both sides of our given equation by 8, we will get:

$\frac{8t}{8}=\frac{128}{8}$

$t=16$

Therefore, the cost of each tree is $16.

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3 years ago