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3 years ago

Find the measure of each side indicated. Round to the nearest tenth. Picture included below.

Mathematics

1 answer:

skad [1K]3 years ago

4 0

Step-by-step explanation:

Use the sine and cosine trig functions

21) cos(52)=13/x

x=13/cos(52)

x=21.1

22) sin(75)=6/x

x=6/sin(75)

x=6.2

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In the given figure, x = 30°. What's the property of parallel lines used to find x?

LenKa [72]

30 degrees as it is opposite to it

7 0

3 years ago

8. The graph below shows a dashed line on a coordinate plane. A right triangle is drawn so

Evgesh-ka [11]

Answer:

Option 2

Step-by-step explanation:

First, find the slope of the line of the graph using the points given as (5, -3) and (13, -9):

$slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-9 -(-3)}{13 - 5} = \frac{-6}{8} = -\frac{3}{4}$

Any of the triangle in the options given, whose opp side has the same slope value of -¾, is the triangle we are looking for.

Option 1: slope between the points (0, 2) and (3, -2).

$slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 2}{3 - 0} = \frac{-4}{3}$

Option 2: slope between the point (-7, 6) and (-3, 3).

$slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 6}{-3 -(-7)} = \frac{-3}{4}$

Option 2 has the same slope as the one given in the graph. This is the answer.

Option 3: slope between the points (5, -1) and (2, -5).

$slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-1)}{2 - 5} = \frac{-4}{-3} = \frac{4}{3}$

Option 4: slope between the points (2, -7) and (6, -4).

$slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-7)}{6 - 2} = \frac{3}{4} = \frac{3}{4}$

The answer is Option 2

7 0

3 years ago

How do I solve these 3 equations ?

Arlecino [84]

Step-by-step explanation:

blue one ====> 3x+16 =9x+4 ( alternate angles)

>9x-3x=16-4

>6x=12

>x=2.

white one ====> 10x-2=9x+5 (corresponding angle)

>10x-9x=5+2

>x=7.

green one ====>8x+10=6x+30(vertically opposite angle)

>8x-6x=30-10

>2x=20

>x=10.

hope this helps you.

7 0

2 years ago

Help thanksSSSSSSSSSS

Setler79 [48]

Answer:

$\boxed{\sf{x=24}}$

Step-by-step explanation:

<u>GIVEN:
</u>

To find the missing number in the proportion, you have to isolate it the term of x from one side of the equation.

$\sf{\dfrac{8}{7}=\dfrac{x}{21} }$

First, thing you do is switch sides.

$\sf{\dfrac{x}{21}=\dfrac{8}{7} }$

Multiply by 21 from both sides.

$\Longrightarrow: \sf{\dfrac{21x}{21}=\dfrac{8*21}{7} }$

Solve.

Multiply the numbers from left to right.

Use the order of operations.

PEMDAS stands for:

Parentheses
Exponents
Multiply
Divide
Add
Subtract

$\Longrightarrow: \sf{\dfrac{8*21}{7}=\dfrac{168}{7}=24 }$

$\Longrightarrow: \boxed{\sf{x=24}}$

<u>Therefore, the final answer is x=24.</u>

I hope this helps. Let me know if you have any questions.

3 0

2 years ago

What is the quotient: (64y3 + 20y2 _ 28y) … 4y ?

Nadya [2.5K]

We divide each term by 4y
64y³ / 4y = 16y²
20y² / 4y = 5y
-28y / 4y = -7
The quotient is
16y² + 5y -7
The third option is correct

8 0

3 years ago

Read 2 more answers