Line is parallel to line b and m<7=135. Find m<4

An artist to no the area of a mural that is 1 and 3/4 by 2 and 5/8 what is the area in square yards

zheka24 [161]

What measurements are they asking it in

3 0

2 years ago

Match the numbers to the correct number sentence 1. seven thousand, twenty-eight 1 7,828 2. seven thousand, two hundred eight 9,

kicyunya [14]

1. 7,028 2. 7,208 3. 7,288 4. 7,828 5. 7,088 6. 2,570 7. 2,507 8. 2,577 9. 2,057 10. 2,077 11. 9,009 12. 9,900 13. 9,090 14. 9,099 15. 9,999

8 0

3 years ago

PLeAsE i NeEd HeLp!!!!

olya-2409 [2.1K]

Answer:

DF = 10 units

$m\angle DFG = 28^\circ$

EG = 5.04

Step-by-step explanation:

Properties of Rhombus es

All Sides Of The Rhombus Are Equal.
The Opposite Sides Of A Rhombus Are Parallel.
Opposite Angles Of A Rhombus Are Equal.
In A Rhombus, Diagonals Bisect Each Other At Right Angles.
Diagonals Bisect The Angles Of A Rhombus.

The image contains a rhombus with the following data (assume the center as point O):

DO = 5 units

GF = 5.6 units

$m\angle FEO = 62^\circ$

4. Calculate DF

Applying property 4, diagonals bisect each other, thus the length of DF is double the length of DO, i.e. DF=2*5 = 10:

DF = 10 units

5. Calculate $m\angle DFG$

Applying property 4 in triangle EFO, the center angle is 90°, thus angle EFO has a measure of 90°-62°=28°.

Applying property 5, this angle is half of the measure of angle EFG and angle DFG has the same measure of 28°.

$m\angle DFG = 28^\circ$

6. FG is the hypotenuse of triangle OFG, thus:

$OG^2=FG^2-OF^2$

$OG^2=5.6^2-5^2$

$OG^2=6.36$

$OG=\sqrt{6.36}=2.52$

EG is double OG: OG=2*2.52=5.04

EG = 5.04

5 0

2 years ago

Given: WY=ZX A is the midpoint of WY. A is the midpoint of ZX. Prove: WA =ZA

navik [9.2K]

Answer:

Given information: WY=ZX, A is the midpoint of WY and A is the midpoint of ZX.

To prove : WA =ZA

Proof:

A is the midpoint of WY, it means A divides WY in two equal parts.

$WA=AY$

So, WY is twice of WA.

$WY=2WA$ .... (1)

A is the midpoint of ZX, it means A divides ZX in two equal parts.

$ZA=AX$

So, ZX is twice of ZA.

$ZX=2ZA$ ... (2)

$WY=ZX$ (Given)

Substitute the values from equation (1) and (2).

$2WA=2ZA$

Divide both sides by 2.

$WA=ZA$

Hence proved.

5 0

3 years ago

The perimeter of a pool table is 30 feet. The table is twice as long as it is wide. What is the length of the pool table?

olga55 [171]

So, 30 is the perimeter. We are told the table is twice as long as it is wide.

So, we have think of 2 numbers, one being twice as big than the other. So, it is a rectangle The two number represents the length and the width. To find the perimeter we add all the lengths and the widths. Since the pool table is a rectangle we have two lengths and two widths.

So,

the tow numbers be 10 and 5. 5 is half of 10 and, when multiplied by 2 it is 10. So just to make sure the numbers 5 and 10 work out lets do a calculation.

So,

10+5+10+5 = 30feet. This proves that the sides are these two numbers.

8 0

3 years ago