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ivanzaharov [21]

3 years ago

12

Need help with # 7 and #8!

1 answer:

telo118 [61]3 years ago

3 0

7) BC + CD = BD

(4x - 29) + (5x-9) = 7x -10
9x - 38 = 7x - 10 (when you transpose you change the sign)
9x - 7x = - 10 + 38
2x = 28
x = 14

8) BD = BC

5x - 26 = 2x + 1
5x - 2x = 1 +26
3x = 27
x = 9
if x = 9, then BC = 2x + 1 = 2(9) + 1 = 19
or
AB = AC - BC
AB = 43 - 19
AB = 24

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Changle. Show all work. Round each length to the nearest tenth and each angle to the

Sedaia [141]

Answer:

Part 1) $BC=12.2\ units$

Part 2) $m\angle A=55^o$

Part 3) $m\angle C=35^o$

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=7^2+10^2$

$AC^2=149\\AC=12.2\ units$

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

$tan(A)=\frac{BC}{AB}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{10}{7}$

using a calculator

$m\angle A=tan^{-1}(\frac{10}{7})=55^o$

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

$m\angle A+m\angle C=90^o$ ----> by complementary angles

substitute the given value

$55^o+m\angle C=90^o$

$m\angle C=90^o-55^o=35^o$

8 0

3 years ago

Graph the inequality on the axes below.<br> 2x + 5y 3-5

Afina-wow [57]

Answer:

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Step-by-step explanation:

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3 years ago

Alla [95]

Each result is equally likely to occur!!

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3 years ago

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9 / 3/4 into a improper fraction

sleet_krkn [62]

Answer:

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Step-by-step explanation:

Step 1 - Setup

First, we set up the mixed number 9 3/4 with different colors, so it is easy to follow along:

9

3

4

Step 2 - Multiply

Next, we multiply the whole number by the denominator.

9 x 4 = 36

Step 3 - Add Numerator

Then, we add the numerator to the answer we got in Step 2.

36 + 3 = 39

Step 4 - Solution

Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 9 3/4 as an improper fraction is:

39

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AlexFokin [52]

Answer:

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Step-by-step explanation:

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2 years ago