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Nadusha1986 [10]
3 years ago
10

Two angles whose sum is 180?180? are said to be

Mathematics
1 answer:
harina [27]3 years ago
5 0
2 angles whose sum is 180 are supplementary angles
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3 years ago
Find the missing lengths: LK=15 and KH=9, find KI and HI.
Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

base^2+perpendicular^2=hypotenuse^2

Use Pythagoras in triangle HKL

LH^2+KH^2=LK^2

(LH)^2+9^2=15^2

(LH)^2+81=225

(LH)^2=144

Taking square root on both sides.

LH=12

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

(KI)^2+15^2=(12+x)^2

(KI)^2+225=x^2+24x+144

(KI)^2=x^2+24x+144-225

(KI)^2=x^2+24x-81...(1)

Use Pythagoras theorem in ΔHKI,

(KI)^2=x^2+9^2

(KI)^2=x^2+81...(2)

From (1) and (2) we get

x^2+81=x^2+24x-81

24x=162

x=\dfrac{162}{24}=6.75

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

(KI)^2=(6.75)^2+81

(KI)^2=126.5625

Taking square root on both sides.

KI=\sqrt{126.5625}

KI=11.25

Hence, the measure of KI is 11.25 units.

3 0
3 years ago
Find tan <br> A 8/15<br> B 15/8<br> C 15/7<br> D 8/17
alex41 [277]

Answer:

cos α = 8/17

Apply Pythagoras theorem for triangle ,

Let get unknown side of triangle is y

17^2 = 8^2 + y^2

17^2 - 8^2 =  y^2

225 = y^2

y = sqrt(225)

y = 15

tan α = 15/8

Step-by-step explanation:

3 0
3 years ago
What is the solution for the system of equations? Use the substitution method to solve. Y=5−3x5x−4y=−3 Enter your answer by fill
Taya2010 [7]

Using the substitution method to solve the linear system the value of x and y is 1 and 2 respectively.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width.

Given

The equations are shown below.

y = 5 - 3x .....1

5x - 4y = -3 .....2

Substitute equation 1 in equation 2. Then

\begin{aligned} 5x - 4(5-3x) &= -3\\\\5x - 20 + 12x &= -3\\\\17x &= -3 +20 \\\\17x  &= 17\\\\x &= 1\end{aligned}

Then substitute the value of x in equation 1.

y = 5- 3x\\\\y = 5-3*1\\\\y = 2

Thus, the value of x and y is 1 and 2 respectively.

More about the linear system link is given below.

brainly.com/question/20379472

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