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
san4es73 [151]
3 years ago
6

Using the Law of Detachment, find the conclusion for the following: If two triangles are similar, then their corresponding angle

s are congruent.
Triangle ABC and Triangle XYZ are similar.
Question 8 options:
AB≅XY
ABC≅XYZ
The statements are not valid.
Mathematics
1 answer:
Savatey [412]3 years ago
4 0

Answer:

∠ABC ≅ ∠XYZ

Step-by-step explanation:

Given: ΔABC is similar to ΔXYZ.

If two triangles are similar, then

1. the corresponding angles are congruent

2. the corresponding sides are proportional

From the options given,

AB ≅ XY is not applicable for similar triangles. Hence the option is wrong.

∠ABC ≅ ∠XYZ since  ΔABC ≅ ΔXYZ

Hence the answer is ∠ABC ≅ ∠XYZ

You might be interested in
Qwertyuiopasdfghjklzxcvbnm y=2x+3 in point slope form? please and thank you
Nadusha1986 [10]

Answer: y-5=2(x-1)

Step-by-step explanation:

8 0
3 years ago
Which recursive formula represents the geometric sequence?<br> 25, 20, 16,
slavikrds [6]

Answer:

Step-by-step explanation:

a_n=\frac{4}{5}(a_{n-1})

6 0
3 years ago
What is the numerator of the simplified sum?
sashaice [31]

Answer:

4x + 6

Step-by-step explanation:

\frac{x}{x² + 3x + 2} + \frac{3}{x + 1}

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

x² + 2x + x + 2

(x² + 2x) + (x + 2)

x(x + 2) +1(x + 2)

(x + 1)(x + 2)

We would now have the following as our new fractions to add together and simplify:

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

\frac{x + 3(x + 2)}{(x + 1)(x + 2)}

\frac{x + 3x + 6)}{(x + 1)(x + 2)}

\frac{4x + 6)}{(x + 1)(x + 2)}

Therefore, the numerator of the simplified form sum of both fractions = 4x + 6

8 0
3 years ago
The number 3 is a common factor of _________.<br> A) 9 and 15<br> B) 6 and 10<br> C) 8 and 12
gladu [14]

Answer:

A) 9 and 15.

Step-by-step explanation:

First, let's see what each number's factor is:

A)

9 : 1, 3 & 9

15 : 1, 3, 5 & 15

B)

6 : 1, 2, 3 & 6

10 : 1, 2, 5 & 10

C)

8 : 1, 2, 4 & 8

12 : 1, 2, 3, 4, 6 & 12

Therefore, The number 3 is a common factor of A) 9 and 15.

___

7 0
2 years ago
A problem states: "There are 5 more girls than boys at the party. There are 27 children at the party in all. How many boys are t
Shalnov [3]

27-5 = 22

22/11 = 11

there are 11 boys at the party

expression = b+5

6 0
3 years ago
Read 2 more answers
Other questions:
  • Graphs of equations with three variables carlos is buying salad and pizza for a company lunch. suppose that a bowl of salad cost
    10·1 answer
  • Need a word problem for -1/2 x 12
    12·1 answer
  • During a drought, 3 inches of water evaporated out of a lake every hour. Which integer represents the water loss for a 7 hour pe
    8·1 answer
  • Can someone help me plz
    15·1 answer
  • 1. 4 less than q
    15·1 answer
  • Can someone solve 6 and 7 for me I will mark you the brainly pls help I will really appreciate
    15·1 answer
  • Find the number of roots for the equation. Will mark brainliest!
    7·1 answer
  • 4. Find the value of x.<br> Can you pls show work thank you for your time
    14·1 answer
  • Help me solve this problem please.
    15·1 answer
  • What is the unit price of a Mt. Dew if a six packs costs $2.70
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!