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
deff fn [24]
1 year ago
12

What congruence rule does the triangle follow? Please write the congruence statement triangle EFH is congruent to ________?

Mathematics
1 answer:
Yuliya22 [10]1 year ago
5 0

We can see here two triangles, and we can notice the following:

1. Since H is the midpoint of the segment EG, we can say that EH and HG are congruent segments.

2. Since these two triangles, namely, EFH and GFH share the same segment (HF), this side is also congruent to these two triangles.

3. Since EH is congruent to HG, and FH is congruent to itself, then EF is congruent to GF.

4. Angle E is congruent to angle G.

Therefore, we can say that:

Since we have that:

a. EF is congruent to GF

b. EH is congruent to GH

c. Angle E is congruent to angle G

We can conclude that the congruence rule, in this case, is SAS (Side-Angle-Side), because<em> if two sides and the included angle are congruent to the corresponding parts of the other triangle, the triangles are congruent.</em>

<em>We also see that the three sides are congruent (and in this case, we can also conclude that the triangles are congruent by the rule SSS (side-side-side).</em>

Likewise, we can also conclude that the triangle EFH is congruent to triangle GFH.

You might be interested in
If 11 boxes of chocolates contain 220 chocolates in total, calculate how many chocolates 5 box of chocolates will contain
egoroff_w [7]

Answer:100 chocolates

Step-by-step explanation:

20 chocolate in each box so 20 time 5 is 100 so 20 time 11 is 220

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%203%20000%20000%5E%7B2%7D%20%20" id="TexFormula1" title=" 3 000 000^{2} " alt=" 3 000 000^{2
Pachacha [2.7K]
{3000000}^{2} + {4000000}^{2} \\ \\ {10}^{6} ( {3}^{2} + {4}^{2} ) \\ \\ {10}^{6} \times 25 \\ \\ 25000000 \: \: \: \: \: Ans.
8 0
3 years ago
True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.
nekit [7.7K]

Hi there!

\large\boxed{\text{False.}}

f(x) = 2(1/5)ˣ

Recall the form of an exponential function:

f(x) = a(b)ˣ where:

a = initial value

b = rate of decay/growth

If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.

1/5 < 1, so the function is undergoing exponential decay, not growth.

7 0
3 years ago
Determine length of RT
dalvyx [7]

Answer:

20

Step-by-step explanation:

6 0
3 years ago
Use the properties of geometric series to find the sum of the series. for what values of the variable does the series converge t
Oksi-84 [34.3K]

Answer:

- The sum of the series is given as

7/(1 + 7z)

- The series converges for (-1/7, 1/7)

Step-by-step explanation:

Given the geometric series:

7 - 14z + 28z² - 56z³ + ...

The common ratio r is given as

-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on

r = -7z

The sum of the series is given as

S = a/(1 - r)

Where a is the first term in the series.

S = 7/(1 -(-7z))

= 7/(1 + 7z)

The series converges for |-7z| < 1

That is for -1/7 < z < 1/7

7 0
3 years ago
Read 2 more answers
Other questions:
  • 17.The diameter of a circle has endpoints P(–7, –10) and Q(3, 2).
    11·1 answer
  • A CD makes 58 1/2 revolutions in 3/4 min.
    5·2 answers
  • 7+(8+12)=------- +12 complete the equation and tell what property you used
    12·2 answers
  • Tell me I am correct or not
    5·1 answer
  • 5(5t-2) = -35<br><br>show how to solve the given equation ​
    5·1 answer
  • If x2=4(5-1) what is the value of x
    5·1 answer
  • Manuel borrowed $1,500 from his bank and signed a
    14·1 answer
  • Please help me and explain below.
    5·1 answer
  • C) A mother is three times as old as her daughter. Five years ago, she was five times
    7·1 answer
  • 15 people are to share 4.5 pizzas equally. What fraction of pizza do each one get?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!