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
Aleksandr [31]
3 years ago
7

5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

The value of x is 7

Step-by-step explanation:

we know that

If two figures are congruent, then the corresponding angles and the corresponding sides are equal

In this problem

Triangles ABC and DEF are congruent

ABC≅DEF

therefore

AB=DE ----> equation A

AC=DF ----> equation B

BC=EF ----> equation C

Substitute the given values in the equation B

8=2x-6

Solve for x

2x=8+6

2x=14

x=7

therefore

The value of x is 7

The draw in the attached figure

You might be interested in
PLEASE ANSWER I WILL MARK THE BRAINIEST ANSWER :)<br><br>factorise: X^2 + 10x + 16
Damm [24]

Answer:

(x+2)(x+8)

Step-by-step explanation:

1.)find factors of the third expression(16)that will add up to give the second expression(10)

16=2×8. 10=2+8

2.)substitute those factors inplace of 10

{x}^{2}  + 10x + 16

x {}^{2}  + 2x + 8x + 16

3.)factorise using grouping method

( {x}^{2}  + 2x) + (8x + 16)

x(x + 2) + 8(x + 2)

= (x + 2)(x + 8)

3 0
3 years ago
stacy buys 3 cds in set for $29.98 .She saved $6.44 by buying the set instead of buying the individual cd's .If each cd costs th
MrMuchimi

3 CD → $29.98

29.98 - 6.44 = 23.54 → remained

If each CD costs the same amount ... ↓

23.54 ÷ 3 = 7.8466


$7.8466

8 0
3 years ago
Read 2 more answers
One angle of an isosceles triangle measures 64°. Which other angles could be in that isosceles triangle? Choose all that apply.
konstantin123 [22]

Answer:

64 and 52 or 58 and 58

Step-by-step explanation:

All the angles have to add up to 180 and 2 angles need to match

6 0
3 years ago
Could anyone solve this equation
Ainat [17]
I)
8 - 3x = 23
-3x = 15
x = -5

ii)
5x - 16 = 34
5x = 50
x = 10

iii)
2 - 5x = -3
-5x = -5
x = 1
6 0
3 years ago
If the base of a square pyramid is 9 centimeters, and it has a volume of 324 cubic centimeters, what is the height of the pyrami
masha68 [24]

A

The volume (V) of a pyramid is found using the formula

V = \frac{1}{3} × area of base × height(h)

area of base = 9² = 81 ← area of a square, hence

324 = \frac{1}{3} × 81 × h = 27h ( divide both sides by 27 )

h = \frac{324}{27} = 12 → A



3 0
3 years ago
Other questions:
  • A unit rate is a comparison of two _____ ? measures where the denominator is__?
    14·1 answer
  • How to solve this problem!
    6·1 answer
  • What is the value of x in this simplified expression? (-j)^-7=1/(-j)^x
    8·1 answer
  • A realtor is trying to predict the selling price of houses in Greenville (in thousands of dollars) as a function of Size (measur
    15·1 answer
  • Show one solution (x, y) of linear equations for y=2x+1
    15·1 answer
  • HELP DUE IN 15 MINS! <br> Solve for x in the parallelogram below:<br><br> X=??
    12·2 answers
  • HAPPY THANKSGIVING!!<br><br> solve 2y + 1 ≤ 7
    14·2 answers
  • Find the surface area of this triangular prism.
    14·1 answer
  • As head of the Parks Department, Jada has been tracking the park’s use of different supplies over the last several years. Her re
    11·1 answer
  • Question 1 of 25
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!