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
gayaneshka [121]
3 years ago
7

How do I correctly solve this?

Mathematics
2 answers:
sdas [7]3 years ago
6 0

Answer:   14

<u>Step-by-step explanation:</u>

Since BD is parallel to EG, then ∠BCF and ∠EFC are consecutive (same side interior) angles, which means they are supplementary angles.  

∠BCF + ∠EFC = 180

(5x - 66) + (2x + 50) = 180

7x - 16 = 180

7x        = 196

 x        = 28

∠BCF ≅ ∠EFC because they are vertical angles.

∠BCF = ∠EFC

5(28) - 66 = 9y - 52

140 - 66 + 52 = 9y

192 = 9y

14 = y

Gelneren [198K]3 years ago
3 0
<h3>Answer: y = 14</h3>

===================================

Explanation:

The two angles involving x add up to 180 degrees. This is because they are same side interior angles (and because the horizontal lines are parallel)

So,

(angle BCF) + (angle EFC) = 180

(5x - 66) + (2x + 50) = 180

5x - 66 + 2x + 50 = 180

7x - 16 = 180

7x - 16+16 = 180+16 ... add 16 to both sides

7x = 196

7x/7 = 196/7 .... divide both sides by 7

x = 28

This will be used to help find y

Notice how the angles BCF and ACD are vertical angles, therefore they are congruent or the same measure

angle ACD = angle BCF

9y - 52 = 5x - 66

9y - 52 = 5*28 - 66 ..... replace x with 28 (since x = 28)

9y - 52 = 140 - 66

9y - 52 = 74

9y - 52+52 = 74+52 .... add 52 to both sides

9y = 126

9y/9 = 126/9 .... divide both sides by 9

y = 14

You might be interested in
What is the factorization of this polynomial? 9x^2-0x-4
Harman [31]
9x²-0x-4
=9x²-4
=(3x-2)(3x+2) is the factor form of 9x²-0x-4
Solve for x:
3x-2=0
Add 2 to each side
3x-2+2=0+2
3x=2
Divided 3 to each side
3x/3=2/3
x=2/3
Or
3x+2=0
Subtract 2 to each side
3x+2-2=0-2
3x=-2
Divided 3 to each side
3x/3=-2/3
x=-2/3. Hope it help!
5 0
3 years ago
I need the answer pls
adoni [48]
Omg we have the same bed frame bunk bed thing Hahah
3 0
3 years ago
What is the range of this function (I NEED AN ANSWER RLLY FAST PLSSSS)
yaroslaw [1]

Answer:

d

Step-by-step explanation:

the first oval's domain and the second's range. so you just choose the choice that includes all the values in the ranger.

5 0
3 years ago
A toy store has six shells with five gang boxes on each shelf how many game boxes are thA toy store has six shells with five gan
docker41 [41]

Answer:

30 game boxes

Step-by-step explanation:

We have to multiply the number of each shelf by the number of game boxes,

The store has 6 shelves and 5 game boxes on each shelf.

Therefore, the number of game boxes that there are is:

6 * 5 = 30 game boxes

7 0
3 years ago
Find the measures of the numbered angles in the isosceles trapezoid.<br> I need help ASP
Novay_Z [31]

Answer:

  ∠1 = 50°

  ∠2 = ∠3 = 130°

Step-by-step explanation:

In an isosceles trapezoid, such as this one, the angles at either end of a base are congruent:

  ∠1 ≅ 50°

  ∠2 ≅ ∠3

The theorems applicable to transversals and parallel lines also apply to the sides joining the parallel bases. In particular, "consecutive interior angles are supplementary." That is, angles 1 and 2 are supplementary, for example.

  ∠2 = 180° -∠1 = 180° -50° = 130°

We already know angle 3 is congruent to this.

  ∠1 = 50°

  ∠2 = ∠3 = 130°

_____

<em>Additional comment</em>

It can be easier to see the congruence of the base angles if you remove the length of the shorter base from both bases. This collapses the figure to an isosceles triangle and makes it obvious that the base angles are congruent.

Alternatively, you can drop an altitude to the longer base from each end of the shorter base. That will create two congruent right triangles at either end of the figure. Those will have congruent corresponding angles.

5 0
2 years ago
Other questions:
  • Us tradional 289 *13
    9·1 answer
  • (33) Please check my answer in geo thanks<br><br> I am not 100% about this one
    9·1 answer
  • The three tools the federal reserve uses to enact monetary policy are?
    11·1 answer
  • Square RSTU is translated to form R'S'T'U', which has vertices R'(–8, 1), S'(–4, 1), T'(–4, –3), and U'(–8, –3). If point S has
    8·2 answers
  • What is the unknown fraction?
    14·2 answers
  • Two dice are rolled; find the probability for total: a) 1, b) 4 or 6; c) &lt;13
    7·1 answer
  • What is 8(p+7+2q) simplified
    14·1 answer
  • Reduce in standard form -3/-15​
    13·1 answer
  • Find the domain in the following <br> Y=2x+5
    8·2 answers
  • How many groups of 1/3 are in 9
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!