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2 years ago

What is the angle measurement of angle K?

Mathematics

1 answer:

RUDIKE [14]2 years ago

8 0

Answer:

61°

Step-by-step explanation:

let the angle on a straight line with 112° be x

112°+x = 180° ( angles on a straight line)

x = 180°- 112°

x = 68°

calculating for k°

68°+ k +51° = 180° (sum of angles Ina triangle equal 180°)

119° +k = 180°

K = 180-119

k = 61°

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The number of kilometers y in a measure varies directly as the number of miles x. Write a direct variation equation that could b

vagabundo [1.1K]

Answer:

x= 1.069Y

Step-by-step explanation:

kilometers = y

miles = x

y>x

5x = 8.045y

therefore,

8.045 divided by 5 to get value of X

hence,

X = <u>1.069Y</u>

8 0

3 years ago

Solve a triangle when A=15° B=113° and b=7?

JulsSmile [24]

Let us draw a triangle ABC with A=15° ,B=113° and b=7.

Please see the attached image.

We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have

$A+B+C=180\\
\\
15+113+C= 180\\
\\
C=62^{\circ}$

Apply Sine rule in the triangle ABC, we get

$\frac{a}{\sin 15}= \frac{7}{\sin 113}\\
\\
a=\frac{7 \sin 15}{\sin 113}\\
\\
a=1.97\\
\\
\text{Again apply sine rule, we get}\\
\\
\frac{c}{\sin 62}= \frac{7}{\sin 113}\\
\\
c=\frac{7 \sin 62}{\sin 113}\\
\\
c=6.71$

Therefore, we have

$a=1.97\\
c=6.71\\
C=62^{\circ}$

4 0

4 years ago

A business’s assets are valued at $600,000, and the value depreciates 20% per year. Using the formula V(t) = V0(b)t, what is V0,

Nana76 [90]

The formula is
V (t)=V0(b)^t
V (t) the value of the assets after 5 (t) years ?
V0 current value of assets 600000
B=1-0.20=0.8
T 5 years

So the value of assets after 5 years is
V (5)=600,000×0.8^(5)=196,608

7 0

3 years ago

How much would $200 invested at 4% interested compounded monthly be worth after 8 years? Round your answer to the nearest cent.

nalin [4]

Answer:

the answer for this question is<u> (D).</u>

Step-by-step explanation:

given

P=200

R=0.04

N=12 (12 months in 1 year)

t=8

A=275.279

round

275.28

(D) is the answer to your question

#ACE

#Quality answers

#brainliest

also i just learned this so i should be right

6 0

3 years ago

A net of a rectangular prism has 3 pairs of equal sides. The front face has an area of 30 feet squared.

alexandr1967 [171]

Answer:

A,C,D

Step-by-step explanation:

I took it on Edge

4 0

3 years ago