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
Westkost [7]
3 years ago
11

For ΔABC, ∠A = 4x - 10, ∠B = 5x + 10, and ∠C = 7x + 20. If ΔABC undergoes a dilation by a scale factor of 1 3 to create ΔA'B'C'

with ∠A' = 2x + 10, ∠B' = 8x - 20, and ∠C' = 10x - 10, which confirms that ΔABC∼ΔA'B'C by the AA criterion?
Mathematics
2 answers:
VLD [36.1K]3 years ago
5 0
We know that the angles of a triangle sum to 180°.  For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180

Combining like terms,
16x+20=180

Subtracting 20 from both sides:
16x=160

Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.

For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180

Combining like terms, 
20x-20=180

Adding 20 to both sides:
20x=200

Dividing both sides by 20:
x=10

This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.

Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
Kaylis [27]3 years ago
3 0

Answer:

the guy above me is CORRECT

Step-by-step explanation:

I took the test.

You might be interested in
please help me with my sisters homework answers all of the questions please and show work I need it for today thanks
yawa3891 [41]
For 16 it's 8/10 for 17 it's 52/100 for 18 it's -92/100 for 19 it's -48/100 for 20 it's 86/100 for 21 it's 76/100
6 0
4 years ago
Points F and G lie on the graph of the equation y = −0.25x.
Amiraneli [1.4K]
All we need to do is apply these points into the function themselves.


For point F, y = -0.25(4) = -1
For point G, y = -0.25(-8) = 0.25(8) = 2

Point F's y-coord is -1 and Point G's y-coord is 2.
4 0
3 years ago
Can someone answer this step by step to help me understand how to get my answer thank you
frozen [14]
The answer is 19y – 9.

First, distribute the -3 to ( -4y + 3 ). So:
= ( 12y – 9 ) + 7y

Then, combine like terms. In this case, the like terms are 12y and 7y. So:
= 12y – 9 + 7y
= 19y – 9
6 0
3 years ago
Can some one please help me !!
andrew-mc [135]

Answer:

B.

Step-by-step explanation:

When simplifying the expression you end up with that.

Hope it helps.

4 0
3 years ago
If the bars of a graph are too wide this can be misleading too.
alekssr [168]
Is this a statement or a question .
4 0
3 years ago
Other questions:
  • What method can researchers employ in order to counter bias in their sampling?
    8·1 answer
  • Two chords measuring 18.64cm and 14.32cm intersect at a point on a circle at an angle of 114°26’. A third chord connects the non
    10·1 answer
  • Which ordered pairs are solutions to the equation?
    7·1 answer
  • How would you find the circumference of a circle if you know the area of the circle?
    8·1 answer
  • Please help I’m literally slow
    10·1 answer
  • Landon welded three pieces of metal together to form a triangle with side lengths that measure 8 inches, 9 inches and 17 inches.
    7·1 answer
  • Which of the following sets of ordered pairs represents a function?
    15·2 answers
  • O 14,000 16) How many zeros will be in the product of 4 x 500?*​
    13·1 answer
  • Pls help will mark brainliest
    5·1 answer
  • Can someone please help me solve this
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!