Me with this ! . i really need some
1. given a  b, m5 = 44, and m11 = 86, find the measure of all angles.2. the below shows δpqt; its altitude, which is segment pr ; and some of its measurements.diagram 33. patrice buys a block of wax in the shape of a right rectangular prism. the dimensions of the block are 20 cm by 9 cm by 8 cm. (a) what is the volume of the block? show your work.patrice melts the wax and creates a candle in the shape of a circular cylinder that has a diameter of 10 cm and a height of 15 cm.(b) to the nearest centimeter, what is the volume of the candle? show your work.patrice decides to use the remaining wax to create a candle in the shape of a cube.(c) to the nearest centimeter, what is the length of the side of the cube? show your work.

Part 1) we know that
m∠5=44°    m∠11=86°
m∠2=m∠5> by vertical angles
m∠2=44°
m∠13=m∠11> by vertical angles
m∠13=86°
m∠12+m∠13=180°> supplementary angles
m∠12=180-86> m∠12=94°
m∠14=m∠12> by vertical angles
m∠14=94°
m∠1=m∠11> by corresponding angles
m∠1=86°
m∠4=m∠1> by vertical angles
m∠4=86°
m∠2+m∠1+m∠6=180
m∠6=180-(86+44)> 50°
m∠6=50°
m∠3=m∠6> by vertical angles
m∠3=50°
m∠8=m∠3> by corresponding angles
m∠8=50°
m∠8+m∠7=180°> supplementary angles
m∠7=180-50> 130°
m∠7=130°
m∠10=m∠6> by corresponding angles
m∠10=50°
m∠10+m∠9=180°> supplementary angles
m∠9=180-50> 130°
m∠9=130°

the answers Part 1) are
m∠1=86°
m∠2=44°
m∠3=50°
m∠4=86°
m∠5=44° 
m∠6=50°
m∠7=130°
m∠8=50°
m∠9=130°
m∠10=50°
m∠11=86°
m∠12=94°
m∠13=86°
m∠14=94°

Part 2) 
a) what is m∠TPR?
in the right triangle PTR 
m∠PTR+m∠TPR+m∠TRP=180° ( the sum of internal angles of triangle is equal to 180 degrees)
m∠PTR=30°
m∠TRP=90°
so
m∠TPR=180-(90+30)> 60°

the answer Part 2a) is 
m∠TPR=60°

b) what is the length in inches of segment PR?
in the right triangle PTR 
sin 30=PR/TP> PR=TP*sin 30> PR=14*(1/2)> 7 in

the answer Part 2b) is
PR=7 in

c)  what is the length in inches of segment TR?
in the right triangle PTR 
cos 30=TR/PT> TR=PT*cos 30> TR=14*(√3/2)---> TR=7√3 in

the answer Part 2c) is
TR=7√3 in

d)  what is the length in inches of segment PQ?
in the right triangle PQR
PR=7 in
RQ=PR> by angle 45°
so
RQ=7 in
applying the Pythagoras Theorem
PQ²=RQ²+PR²> 7²+7²> PQ²=98> PQ=√98 in---> PQ=7√2 in

the answer Part 2d) is
PQ=7√2 in

Part 3) Patrice buys a block of wax in the shape of a right rectangular prism. The dimensions of the block are 20 cm by 9 cm by 8 cm.
  (a)   What is the volume of the block?

volume of the prism=20*9*8> 1440 cm³

the answer Part 3 a) is
the volume of the block is 1440 cm³

Patrice melts the wax and creates a candle in the shape of a circular cylinder that has a diameter of 10 cm and a height of 15 cm.(b)   To the nearest centimeter, what is the volume of the candle?
volume of a cylinder=pi*r²*h
diameter=10 cm
radius r=10/2> 5 cm
h=15 cm
volume of a cylinder=pi*5²*15> 1177.5 cm³> 1178 cm³

the answer Part 3b) is
the volume of the candle is 1178 cm³

Patrice decides to use the remaining wax to create a candle in the shape of a cube.(c)   To the nearest centimeter, what is the length of the side of the cube?

the remaining wax=volume of the prism-volume of a cylinder
=1440-1178> 262 cm³

volume of a cube=b³
where b is the length side of the cube
262=b³b=∛262> b=6.40 cm> b=6 cm

the answer Part 3c) is
the length of the side of the cube is 6 cm

8 ×(7 + 12)

Step-by-step explanation:

Using the GCF you found in Part B, rewrite 56 + 96 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work.

Step.1

We find the factory of 56 and 96

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 8.

Step 2

56 + 96 = 152

We have to find the other that is the sum of two numbers that do not have a common factor.

152 = 8 × 19

152 = 8 × (7 + 12)

Therefore:

56 + 96 = 8 × (7 + 12)