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LenaWriter [7]
3 years ago
7

Triangle XYZ and EFG are given. ΔXYZ≅ΔEFG by SAS. If m∠EFG = 5p-2, YZ=2n-5 and GF=n+5 then which of the following statements are

true.
A.ZY=15
B.m∠XZY=52
C.p=8
D.p is 2 more than n.
E.m∠EFG=38
F.GF=8
Mathematics
1 answer:
VMariaS [17]3 years ago
4 0

Answer:

  A.  ZY=15

Step-by-step explanation:

Insufficient information is given about angles to make any statement about the value of p or the measures of any angles. (Eliminates B,C,D,E)

Side YZ corresponds to side FG. Since they are congruent, their measures are the same. This means ...

  2n -5 = n +5

  n = 10 . . . . . . . . add 5-n

YZ = ZY = 2·10 -5 = 15 . . . . . . matches choice A

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A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z%
sergeinik [125]

Answer:

Both statements are sufficient to answer the question

Step-by-step explanation:

Given:

- The paint mixture has following proportions:

 Total volume of paint = T

 Blue:  x*T / 100

 Green: y*T/100

 Red: z*T/100

Find:

Statement 1: x = y

Statement: z = 60

Which of the above statement is sufficient to calculate the amount of green paint used

Solution:

Statement 1:

- The amount of blue paint used is:

                    1 gallon = x*T / 100

- x = y,

                    1 gallon = y*T / 100

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

Statement 2:

- The amount of red paint used is:

                    3 gallon = z*T / 100

                    T = 300 / z = 300 / 60 = 5 gallons

                    T = R + B + G

                    G = T - R - B

                    G = 5 - 3 - 1

                    G = 1 gallons

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

5 0
3 years ago
WHAT WOULD THIS BEEE!!
Yuliya22 [10]

use Pythagoras theorem

20 units

8 0
2 years ago
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Which one of these show the multiplication property of equality? I know what is it I just don’t see it on here, 5 and 9 both loo
Fofino [41]

Answer:

5 is c 9 is f

8 0
3 years ago
Recipe<br> 1/2 lemonade 1 1/2 iced tea. If 16 cups made how any cups of lemonade and iced tea
larisa86 [58]

Answer:

8 lemonade and 24 iced tea

Step-by-step explanation:

1/2=0.5

0.5x16=8 lemonade

1 1/2=3/2=1.5

1.5x16=24 iced tea

6 0
3 years ago
Find the surface area of the cylinder in terms of pi. 9cm and 19cm
Natali [406]

Answer:

Surface area of cylinder= 211.5π

Step-by-step explanation:

Given,

Height of cylinder = 19cm

Diameter of cylinder = 9cm

i.e Radius of cylinder = diameter/2 = 9/2 = 4.5cm

Surface area of cylinder = 2πrh + 2πr²

Plug corresponding values of r and h in surface are formula.

Surface area of cylinder = 2πrh + 2πr² = 2π*4.5*19 + 2π*4.5²

Surface area of cylinder = 171π+40.5π = 211.5π

Hence we get surface area of cylinder= 211.5π


3 0
3 years ago
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