If you draw diagonal EG, then triangle EFG is congruent to triangle EHG since they have 3 congruent sides.
This means that angle FEG is congruent to angle HGE. Since the alternate angles are equal, they must be bounded by parallel lines i.e. EF is parallel to HG.
Answer:
x=7
Step-by-step explanation:
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
2(x+13)=(x−2)⋅8
Solve the equation for x.
Simplify 2(x+13).
Start simplifying.
0+0+2(x+13)=(x−2)⋅8
Simplify by adding zeros.
2(x+13)=(x−2)⋅8
Apply the distributive property.
2x+2⋅13=(x−2)⋅8
Multiply 2 by 13
2x+26=(x−2)⋅8
Simplify (x−2)⋅8
Apply the distributive property.
2x+26=x⋅8−2⋅8
Simplify the expression.
Move 8 to the left of x
2x+26=8⋅x−2⋅8
Multiply −2 by 8
2x+26=8x−16
Move all terms containing x to the left side of the equation.
Subtract 8x from both sides of the equation
2x+26−8x=−16
Subtract 8x from 2x
−6x+26=−16
Move all terms not containing x to the right side of the equation.
Subtract 26 from both sides of the equation
−6x=−16−26
Subtract 26 from −16
−6x=−42
Divide each term in −6x=−42 by −6 and simplify
Divide each term in −6x=−42 by −6
Simplify the left side
Cancel the common factor of −6.
Divide x by 1.
Simplify the right side.
Divide −42 by −6.
x=7
Answer:
290
Step-by-step explanation:
Using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)
(19*15)+5+6+7-8-5=
(285)+5+6+7-8-5=
290
Answer:
16 years
Step-by-step explanation:
Given that :
Earth's distance from sun = 93 million miles
Number of years to complete an orbit = 1 year
Average orbiting distance of new asteroid = 1488 million miles
Number of years to complete an orbit = x
93,000,000 Miles = 1
1488000000 miles = x
Cross multiply :
93000000x = 1488000000
x = 1488000000 / 93000000
x = 16 years
Period taken to orbit the sun = 16 years
