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2 years ago

The value of x is ?

Mathematics

1 answer:

allsm [11]2 years ago

5 0

Answer: X = 42

Steps:
(3x + 12) + x = 180
3x + 12 + x = 180
4x + 12 = 180
4x = 180 - 12
4x = 168
x = 168/4
x = 42

Check:
(3x + 12) + x = 180
3x + 12 + x = 180
3(42) + 12 + 42 = 180
126 + 12 + 42 = 180
180 = 180 ✅

I would appreciate the brainliest if this was correct and had helpful & clear steps! :)

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allsm [11]

Use photo math , I’m sure it will help

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3 years ago

Absolute value of 15

mixer [17]

Answer:

Step-by-step explanation:

The absolute value takes any value and makes it positive.

|15| = 15

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3 years ago

Read 2 more answers

GJ is a midsegment of triangle DEF, and HK is a midsegment of triangle GFJ. What is the length of HK?

loris [4]

Answer:

Option B) 4 centimeters

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of n

we know that

a) GJ is a midsegment of triangle DEF

then

G is the midpoint segment DF and J is the midpoint segment EF

DG=GF and EJ=JF

b) HK is a midsegment of triangle GFJ

then

H is the midpoint segment GF and K is the midpoint segment JF

GH=HF and JK=KF

In this problem we have

HF=7 cm

GH=7 cm

GF=GH+HF ----> by addition segment postulate

GF=7+7=14 cm

Remember that

DG=GF

substitute the given values

$2n-1=14$

solve for n

$2n=14+1$

$2n=15$

$n=7.5\ cm$

step 2

Find the length of GJ

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

$GJ=\frac{1}{2}DE$

we have

$GE=2n+1=2(7.5)+1=16\ cm$

substitute

$GJ=\frac{1}{2}16=8\ cm$

step 3

Find the length of HK

we have that

$HK=\frac{1}{2}GJ$ ----> by the midpoint theorem

we have

$GJ=8\ cm$

substitute

$HK=\frac{1}{2}8=4\ cm$

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3 years ago

Gino studied 3/4 hour for his test on Monday. He studied another 2/4 hour on Tuesday. How long did he study in all?

dybincka [34]

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Help with this and I’ll mark you as brainliest ❤️

Dahasolnce [82]

Answer:

The answer is C

Step-by-step explanation:

Because 1 is 90 because it shaped like a L 2 is 45 because its narow, and 3 is the smallest of them all. I also did it before

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3 years ago