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
LenaWriter [7]
2 years ago
15

Find the value of the variable that results in congruent triangles for numbers 6 and 8.

Mathematics
1 answer:
mariarad [96]2 years ago
8 0

Answer:

x = 28

Step-by-step explanation:

From the figure attached,

AC ≅ FH [Given]

BC ≅ GH [Given]

AB ≅ FG [Given]

ΔABC ≅ ΔFGH [By SSS property of congruence]

Since, m∠A + m∠B + m∠C = 180°

50° + 69° + m∠C = 180°

119° + m∠C = 180°

m∠C = 180° - 119°

m∠C = 61°

m∠C = m∠H [Since, ΔABC ≅ ΔFGH]

(2x + 5)° = 61°

2x = 61 - 5

2x = 56

x = 28

You might be interested in
in one hour thirty two cars pass through a particular intersection at the same rate how long would it take for 96 cars to pass t
USPshnik [31]

Answer:

72 hours

Step-by-step explanation:

1hour30minutes times 48 cars (since TWO pass every 1:30, not one)

equals 72 hours, or three days

3 0
3 years ago
Predict the next three numbers in the pattern. ​
bekas [8.4K]
The pattern is dividing by 2 every time so the next 3 numbers will be 1/8, 1/16, 1/32
4 0
3 years ago
What is 15 degrees less than 78.6 degrees?
Jobisdone [24]

Answer:

15 degrees less --> substract 15 degrees.

78.6 - 15 = 63.6 degrees

7 0
3 years ago
Read 2 more answers
5. Michael makes lemonade using a ratio of 10 cups of water to 1 cup of lemon juice. Which equation could
Alenkasestr [34]

Answer:

A and is michael michael reeves

Step-by-step explanation:

3 0
3 years ago
Here are four nets. Which one can be used to find the surface area of a square prism?
Alexeev081 [22]
I believe the answer would be c!
7 0
2 years ago
Other questions:
  • which statement is always true A. the sum of two irrational numbers is rational. B. the product of a rational and irrational num
    7·1 answer
  • − 2/3 (−3 − 9x) A) −2 − 9x <br> B) 2 − 9x <br> C) 2 − 6x <br> D) 2 + 6x
    6·2 answers
  • Solve the following equation.<br><br> <img src="https://tex.z-dn.net/?f=5%3D%5Cfrac%7Bw%7D%7B2.2%7D" id="TexFormula1" title="5=\
    14·2 answers
  • 3x + 12y = 24<br> 3x - 3y = 24
    13·2 answers
  • A school club sold 300 shirts. 31% were sold to fifth graders, 52% were sold to sixth graders, and the rest were sold to teacher
    5·2 answers
  • PLZ HELPPPPPPPPPPPPPP​
    9·1 answer
  • HELP DUE AT 8: 30 ASAP!
    10·1 answer
  • 14. As x increases in the equation 3x – 2y = 6, the value of y
    6·1 answer
  • Suppose you are interested in testing whether the mean income of women in the General Social
    7·1 answer
  • Add the two expressions.<br><br> 3x + 7 and 9x−2
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!