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Oduvanchick [21]
3 years ago
9

Help me please thank you

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
8 0
AFB is acute. DFB is obtuse. Finally CFD is right. And those are the"right answers" and your welcome hope you get a 100%
Agata [3.3K]3 years ago
3 0

AFB = 48 degrees

DFB = 138 degrees

CFD = 90 degrees

In order to find AFB, we can see that AFC is equal to 90. We then subtract the 42 degree angle on the inside of it.

90 - 42 = 48

For the DFB angle, we know that we have a 90 degree angle plus the 42 degree angle. So we add them together.

90 + 42 = 132

Lastly CFD is a right angle and therefore is equal to 90.

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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
Can someone please help me out with this
SashulF [63]

Answer:

4 = 15

Step-by-step explanation:

Make them equal to each other first

2x+15=x+30

Put like terms together

x=15

Hope this helped

:)

7 0
2 years ago
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