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
mash [69]
3 years ago
7

Isosceles trapezoid FGHJ has base angles that measure (8x+14) and (14x-15). Find x and the measure of each base angle.

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

Remark

Base angles of Isosceles triangles are equal.

Equation

That means that 8x + 14 = 14x - 15

Solution

8x + 14 = 14x - 15              Add 15 to both sides

8x + 14+15 = 14x               Combine

8x + 29 = 14x                   Subtract 8x from both sides

8x - 8x + 29 = 14x - 8x    Combine

29 = 6x                            Divide by 6

x = 29/6

x = 4 5/6

Answer

x = 4 5/6 or 4.833

8x + 14 = 8 * (4 5/6)   +  14

8x + 14 = 38 2/3 + 14

8x + 14 = 52 2/3 or 52.6666

14x - 15 = 14 *(4 5/6) - 15

14x - 15 = 67 2/3   -15

14x - 15 = 52 2/3 or 52.666

You might be interested in
f the original price of a table is p and the sale price of the table is p−0.2p, which other expression represents the sale price
Sphinxa [80]

Answer:

0.2p is the correct

6 0
2 years ago
The amount of chlorine needed to treat a swimming pool is directly proportional to the volume of the poolWhat is the constant of
Artemon [7]

The amount of chlorine needed to treat a swimming pool is directly proportional to the volume of the poolWhat is the constant of proportionality for this relationship

5 0
3 years ago
Read 2 more answers
Which simplified fraction is equal to 0.53 with the three repeating?
topjm [15]

Answer:

24/46 = 0.52173913

8/15 = 0.53333333

42/90 = 0.46666666

5/9 = 0.55555555

answer is 8/15

8 0
3 years ago
In Δ,∠=70°,∠=50° ∠ . <br> ℎ ∠.
AveGali [126]

Answer:

100°

Step-by-step explanation:

A triangle is a polygon shape with three sides. Triangles are of different types such as obtuse, scalene, equilateral, isosceles etc.

In triangle ABC:

70° + 50° + ∠C = 180° (sum of angles in a triangle)

120 + ∠C = 180

∠C = 180 - 120

∠C = 60°

Since ∠C is bisected into ∠ACD and ∠BCD, hence:

∠ACD = ∠BCD = ∠C / 2

∠ACD = ∠BCD = 60 / 2

∠ACD = ∠BCD = 30°

In triangle ACD:

∠A + ∠ACD + ∠ADC = 180° (sum of angles in a triangle)

50 + 30 + ∠ADC = 180

∠ADC + 80 = 180

∠ADC = 100°

6 0
3 years ago
A rectangle has an area of x3 + x2 – 7x + 2 square meters and a width of x – 2 meters. Find its length.
horrorfan [7]
The distance beween the points is 3\sqrt{} 13
3 0
3 years ago
Other questions:
  • Solve the following system by the substitution method.<br>1/4x+2/3y=-17/4<br>3x-y=3
    14·1 answer
  • I need help with my homework​
    8·2 answers
  • Brooklyn has a goal to save $8,000 to buy a new entertainment system. In order to meet that goal, she deposited $4,132.79 into a
    7·2 answers
  • Quickly please... . . . . ; . .
    7·2 answers
  • Question 1
    15·1 answer
  • I need to know this please
    14·2 answers
  • In a class of 40 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose
    5·1 answer
  • Compound interest is interest earned on both the initial investment and the previously earned interest. An initial amount of mon
    14·1 answer
  • 8. An artist creates 8 identical ceramic bowls. The bowls contains some glass and 59.2 pounds of clay. The artist uses a
    10·2 answers
  • The perimeter of a triangle is 84 meters. The longest side of the triangle is 7 meters less than twice the length of the shortes
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!