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
Monica [59]
3 years ago
5

The triangles are similar

Mathematics
2 answers:
Zina [86]3 years ago
5 0
20/5 = x /4   x =  80/5 = 16

x - 10 / 39 = 5/15 = 1/3
3x - 30 =  39
3x = 69
x = 23

(2x + 10 ) * 4 = 10 *(x + 3)

8x + 40 = 10x + 30
2x = 10 
x = 4

AE = 2(5) + 10  =  20






hoa [83]3 years ago
3 0

Answer:

Part 1) x=16\ units

Part 2) x=23\ units

Part 3) AE=20\ units

Part 4) x= 6.25\ units

Part 5) x=26.67\ in

Step-by-step explanation:

Part 1) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units

Part 2) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units

Part 3) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{AB}{CD}=\frac{AE}{ED}

substitute the values

\frac{10}{4}=\frac{2x+10}{x+3}

2.5(x+3)=2x+10

2.5x+7.5=2x+10

2.5x-2x=10-7.5

0.5x=2.5

x=5\ units

AE=2x+10=2*5+10=20\ units

Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units

Part 5) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in



You might be interested in
I need the answers ASAP
antoniya [11.8K]

Answer: A)

B) 75%

C) She bought 1.5 dozen of plain bagels and 0.5 dozen of sesame bagels.

Step-by-step explanation:

Given: The ratio of the number of sesame bagels to the number of plain bagels is 1:3.

Let the number of sesame bagels be x and the number of plain bagels be 3x.

Then total bagels=x+3x=4x

A) The fraction of bagels are plain

B) The percent of bagels are plain

C) If ill bought 2 dozen bagels, the number of plain bagels

The number of sesame bagels

Hence, she bought 1.5 dozen of plain bagels and 0.5 dozen of sesame bagels.

your welcome ;)

3 0
3 years ago
Read 2 more answers
Josh bought 2 pairs of jeans for $25.60 each and some shirts for $15.30 each. If he spent a total of $112.40,
mojhsa [17]

Answer:

5 shirts

Step-by-step explanation:

2 pairs of jeans $25.60

$112.40-$25.60=$86.80

if each pair of T-shirts cost $15.30

$15.30 times 5=$76.50

$86.80 - $76.50=$10.30

so John bought 5 shirts however he got some many left $10.30

5 0
2 years ago
Mr.Williams drew
tia_tia [17]

Answer: Answer C , Only student 2, because dilation preserve angle measures and side lengths are proportional

8 0
3 years ago
Consider the points (−4, 0) and (5, 0).
Lostsunrise [7]

Answer:

answered

Step-by-step explanation:

A) there y- coordinates are same . This means that the points lie on the x- axis only.

b) since the y- coordinate is zero of  both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units.

c) since the y- coordinate is zero of  both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units

6 0
3 years ago
10 points!!!!! Do 14 and 15 only hurry please.
Aleksandr [31]

Answer:

8. x = 16

9. x = 10

14.

m ∠RSU = 130°

m ∠UST = 50°

15.

m ∠RSU = 124°

m ∠UST = 56°

Step-by-step explanation:

8.

Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF

That is , (x + 15)° = 31°

                x = 31 - 15 =  16

9.

Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF

That is ,

           (6x - 4)° = 56°

            6x = 56 + 4

               6x = 60

                 x = 10

14.

13x + 5x = 180°                       [straight line angles ]

18x = 180

x = 10

m ∠RSU = 130°

m ∠UST = 50°

15.

4x + 12 + 2x = 180°                       [ straight line angles]

6x = 180 - 12

6x = 168

x = 28

m ∠RSU = 4(28) + 12 = 112 + 12 = 124°

m ∠UST = 2(28) = 56°

3 0
2 years ago
Read 2 more answers
Other questions:
  • A blimp is held in place with two ropes.
    14·1 answer
  • 3. The ratio of honey bees to hives is 10,000 to 3. If there are 9 hives, how many honey bees are there?
    15·1 answer
  • How can you use different ways to write a number as ten and ones
    12·1 answer
  • 8th grade: identify the transformation from the original figure to the image
    9·2 answers
  • <img src="https://tex.z-dn.net/?f=%28y%20-%201%29%20%5E%7B2%7D%20" id="TexFormula1" title="(y - 1) ^{2} " alt="(y - 1) ^{2} " al
    9·1 answer
  • Air pollution control specialists in southern California monitor the amount of ozone, carbon dioxide, and nitrogen dioxide in th
    7·1 answer
  • - 3(x - 1) + 8(x - 3) = 6x + 7 - 5x short solve it plz
    6·2 answers
  • A plane left Chicago at 8:00am. At 1:P.M, the plane landed in Los Angeles, which is 1500 miles away. What was the average speed
    13·1 answer
  • Perform the indicated operation and write the result in the form a + bi i^100
    13·1 answer
  • PLEASE HELP The area of a rectangle with a perimeter of 20 units is given by ſw) = 10w – w?,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!