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3 years ago

EFGH is a parallelogram. Find the measure of FG.

Mathematics

1 answer:

Elan Coil [88]3 years ago

4 0

Answer:

FG = 47

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent, thus

EH = FG, that is

5z - 18 = 3z + 8 ( subtract 3z from both sides )

2z - 18 = 8 ( add 18 to both sides )

2z = 26 ( divide both sides by 2 )

z = 13

Hence

FG = 3z + 8 = (3 × 13) + 8 = 39 + 8 = 47

You might be interested in

A circle has a circumference of 44m. What

MakcuM [25]

<h3>Answer: B. 154 square meters</h3>

================================

Work Shown:

C = 44 is the circumference

in general, the circumference of a circle is

C = 2*pi*r

Plug in C = 44 and solve for r.

C = 2*pi*r

44 = 2*pi*r

2*pi*r = 44

r = 44/(2pi)

r = 7.0028175 which is approximate

--------------------

Now plug this into the formula for the area of a circle

A = pi*r^2

A = pi*(7.0028175)^2

A = 154.061985

A = 154 rounding to the nearest whole number

3 0

4 years ago

Read 2 more answers

use the graph to find the solution to the system of equations. Write your answer as an ordered pair . Y=x+3 and y=2x-1

alekssr [168]

I believe the answer would be (-3,-5).
Place the equations on top of each other and figure out how to cancel out one of the digits to get your answer. Try canceling out 2x. Multiply the entire equation y=x+3 by -2 to contradict the second equation. y=x(-2)+3(-2) then you'd get y=-2x-6. -2x-6 above 2x+1, solve. -2 and 2 cancel out so you're left with -6+1, therefore, y=5. Now that you have your y, you must solve for x. Using substitution to solve the equation (I picked 2x+1) you'd get -5=2x+1. Subtract 1 on both sides. +1-1=0 so that cancels out. -5-1=-6 and you're left with -6=2x. So you subtract 2 on both sides because 2 has the variable, and you are left with x=-3. Therefore, the answer is (-3,-5).

6 0

4 years ago

Increase the sum of 6 3/4 and 2 2/7 by 3 1/2. what is the result?

shusha [124]

Answer:

the answer is 12 i think thank me later explain to me if my answer is wrong

3 0

3 years ago

I cant figure these out

Brilliant_brown [7]

1) A
a^2+b^2 =c^2 where c is the hypotenuse
6^2+5^2=c^2
36+25=c^2
c^2=61
take square root of both side
c= √61

2) C
same concept, but now we already have c, just need to find the other leg measurements (let’s call it a but it doesn’t matter a or b is fine)
a^2+19.5^2=20^2
a^2=20.2^2-19.5^2
take square root
a= √20.2^2-19.5^2

8 0

4 years ago

NO LINKS!! Use tests for symmetry to determine which graphs from the list below are symmetric with respect to the y-axis, the x-

Alborosie

Answer:

$y=-\dfrac{1}{5}x^3$

Step-by-step explanation:

A graph is symmetric with respect to the origin if it is unchanged when reflected across both the x-axis and y-axis.

Linear functions are symmetric with respect to the origin if they are proportional.

Quadratic functions are not symmetric with respect to the origin. They are symmetric with respect to one axis if that axis is their axis of symmetry.

Cubic functions are symmetric about the origin if their point of inflection is the origin.

Square root functions are not symmetric about the origin.

There are no proportional linear functions in the given answer options.

There are two cubic functions in the given answer options.

Test to see if they are symmetric with respect to the origin.

Test for symmetry

If a function is symmetrical about the origin, when y is replaced with (-y) and x is replaced with (-x), the resulting function will be equal to the original function.

Given function:

$y=-\dfrac{1}{5}x^3$

Replace y with (-y) and x with (-x):

$\implies -y=-\dfrac{1}{5}(-x)^3$