1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alecsey [184]
3 years ago
11

Pentagons STUVW and XYZAB are similar with XY = 32 , YZ = 36 , ST = 4c + 2 and TU = 5c + 2 What is the length of TU

Mathematics
1 answer:
Vesna [10]3 years ago
8 0

Answer:

TU = 4.5units

Step-by-step explanation:

Since the pentagons are similar, hence the ratios of their similar sides will be equal to a constant.

Hence;

XY/ST = YZ/TU

Given the following

XY = 32

YZ = 36

ST = 4c + 2

TU = 5c + 2

Substitute into the expression as shown;

32/4c+2 = 36/5c+2

Cross multiply

36(4c+2) = 32(5c+2)

144c + 72 = 160c + 64

144c - 160c = 64 - 72

-16c = -8

c = -8/-16

c = 1/2

Recall that TU = 5c + 2

TU =5(1/2) + 2

TU = 2.5 + 2

TU = 4.5

Hence the length of TU is 4.5units

You might be interested in
A cookie recipe uses V2 teaspoon of vanilla with 3/4 cups of flour. How
Licemer1 [7]

Answer:

3 cups of vanilla should be used with 5 cups of flour

Step-by-step explanation:

the ratio 1/2:3/4 is equivalent to 3:5

3 0
3 years ago
Solve the following for x:
taurus [48]

Step-by-step explanation:

2x(squared)+9x+9=—1

2x(squared)+9x+9+1=0

2x(squared)+9x+10=0

multiply the coefficient of x and 10=2x10=20

2x(squared)+9x+10=0

look for two numbers that when added gives 9and when multiplied gives 20

2x(squared)+5x+4x+10=0

(2x(squared)+5x)+(4x+10)=0

find the number and letters that are common in the equations

x(2x+5)+2(2x+5)=0

(x+2) (2x+5)=0

x+2=0

collect like terms

x=0-2

x=-2

2x+5=0

collect like terms

2x=0-5

2x=-5

divide both sides by 2

2x/2=-5/2

x=-5/2

so x=-2 and -5/2

3 0
3 years ago
which of the following words is the most appropriate to fill in the blank? a. bisectorb. linec. sloped. transversal
Serhud [2]

This construction demonstrate that the set of points equidistance from the endpoints of a line segment is the perpendicular bisector of the segment

4 0
1 year ago
How did Alexander Hamilton steal british cannons?
Leni [432]

Answer:

Hamilton appeared he handed Mulligan a gun, took the rope and pulled the cannon toward American lines. Step-by-step explanation:

i looked it up

7 0
2 years ago
Help me pleeaassee :P
MakcuM [25]

Answer:

Step-by-step explanation:

What do you want me to do all i see is a picture no instructions

4 0
3 years ago
Read 2 more answers
Other questions:
  • U is the midpoint of TV . If TU = x + 8 and UV = 2x, what is TU?
    11·1 answer
  • Beth spins a fair spinner numbered 1 - 8 and flips a fair coin.
    15·1 answer
  • Describe the distributive property of R in your own words? Please help
    14·1 answer
  • Which of these is the answer please.
    11·2 answers
  • The sum of 2 times a number and 6 ?
    6·1 answer
  • Rebecca has 6 yards of ribbon. It takes 3/8 yard to wrap one package. How may packages can Rebecca wrap? I need help this is due
    5·1 answer
  • What is 1 5/12+4 6/1
    5·1 answer
  • Bob the builder is making 480 kg of concrete mix
    7·2 answers
  • Find the slope of the line that passes through the points 2,4,6 and 12
    6·1 answer
  • I need help plz plz plz
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!