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Flura [38]
3 years ago
8

Find the value of x a. 6 b. 12 c. 4 d. 10

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0

Answer:

x=4

Step-by-step explanation:

Midpoint Theorem: The line joining the midpoints of two sides of the triangle is half of the length of the third side and parallel to it.

From the given figure we can see that BE is the line segment joining midpoints of two sides of the triangle. This means that

BE=\frac{1}{2} CD        [ By midpoint theorem]

Substituting values of the lengths of BE and CD

x+2=\frac{1}{2}\times 12

Simplifying and solving for x.

x+2=6

Subtracting both sides by 2

x+2-2=6-2

x=4

∴ x=4

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Someone, please help me lol I'm small brain
Eddi Din [679]

Answer:

Measure of EF: 1.98

Measure of AB: 6.16

Measure of HI: 12.2

Step-by-step explanation:

Trick I learned that's very helpful when solving these problems: SOH (Sine, Opposite, Hypotenuse)- CAH (Cosine, Adjacent, Hypotenuse)- TOA (Tangent, Opposite, Adjacent)

MEASURE OF EF

you're starting with angle D which is 26 degrees. You have the measure of the Hypotenuse (DF) and you're trying to find the measure of EF (the segment opposite the angle) so you would use Sine

to do the equation, i'm going to use x in place of EF. 0.44 = sin(26)

Formula: sin(angle) = (opposite)/(hypotenuse)

Equation:

0.44 = x/4.5       <----------- multiply by 4.5 to get x by itself

4.5*0.44 = x       <---------- 4.5 times 0.44

1.98= x       <----------------answer

MEASURE OF AB

trying to find hypotenuse and you already have the adjacent angle so you would use cosine. Using y in place of AB. 0.616 = sin(52)

cos(angle) = (adjacent)/(hypotenuse)

cos(52) = 10/y      <------ divide by y

y*0.616 = 10       <------------ divide by 0.616

y = 10/0.616    <----------- next you'll divide 10 by 0.616

y = 6.16    <-----------answer

MEASURE OF HI

trying to find adjacent, already have opposite so you would use tangent. tan(42) = 0.90. using z in place of HI

tan(angle) = (opposite)/(adjacent)

tan(42) = 11/z   <------------ multiply z on both sides

z*0.90 = 11  <--------- divide by 0.90 to get z by itself

z = 11/0.90    <-------- divide 11 by 0.90

z = 12.2

4 0
2 years ago
Help me please, thank you.
Ivan
The correct answer is -2
4 0
3 years ago
She has one board that is 2 m 3 cm long and another that is 2 m 98 cm long. How long are the two boards together in meters?
miss Akunina [59]

Answer:

5 meters and 1 cm

Step-by-step explanation:

well their are 100 cm in 1 meter

so add 2m and 3 cm to 2 m and 98 cm

to get 4 m and 101 cm what is 5 meters and 1 cm

4 0
3 years ago
Help please !!!!!!!!!
madam [21]

Answer:

a=200;110;101andb=decreasing

Step-by-step explanation:

a.(100×10+1000)/10=200

(100×100+1000)/100=110

(100×1000+1000)/1000=101

8 0
3 years ago
I. Red help pls bros
melamori03 [73]

Answer:

the 3rd one

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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