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
inessss [21]
3 years ago
15

Please help and thank you

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answers: Angle A is 36 degrees, angle C is 54 degrees

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

Work Shown:

The angles A and C are complementary, meaning they add to 90 degrees.

(Angle A) + (Angle C) = 90

(2x-4) + (2x+14) = 90

(2x+2x)+(-4+14) = 90

4x+10 = 90

4x+10-10 = 90-10 .... subtract 10 from both sides

4x = 80

4x/4 = 80/4 ..... divide both sides by 4

x = 20

If x = 20, then,

angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees

angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees

Note how A+C = 36+54 = 90 which helps confirm our answers.

You might be interested in
The temperature of a freezer started at 18ºC. After cooling for a few hours, the freezer had a temperature of –12ºC. What is the
kherson [118]

Answer:

30

Step-by-step explanation:

-12 + 30 = 18

3 0
2 years ago
Read 2 more answers
In the figure below, what is the value of x
kykrilka [37]

Answer:

<em>x = 49°</em>

Step-by-step explanation:

<u>Angles in a Triangle</u>

The sum of the internal angles in any triangle adds up to 180°.

The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.

The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:

43° + 39° + 2x = 180°

Operating:

82° + 2x = 180°

Subtracting 82°:

2x = 180° - 82° = 98°

x = 98°/2 = 49°

x = 49°

3 0
2 years ago
The sum of 3 consecutive even numbers is 42. The sum can be respresented by n+(n+2)+(n+4)=42. What does n represent?
Eva8 [605]

Answer:

13

Step-by-step explanation:

n+(n+2)+(n+4)=42

3n+6=42

3n=42-6=36

3n=36

n=13

13+14+15=42

6 0
3 years ago
Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form
mr Goodwill [35]

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

          = x^2 + 10x + 25 - 18

          = (x + 5)^ - 18

          = (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

6 0
3 years ago
ASAP!!!!!!!<br><br> y-13=4(x-2)
Juliette [100K]
Y-13=4(x-2)
y-13=4x-8
y=4x+5
5 0
3 years ago
Other questions:
  • Construct a dichotmous key to differentiate among particles in a solid,liquid and a gas.​
    12·2 answers
  • Select all of the following graphs which are one to one functions
    12·1 answer
  • (-5ab-5a-1) - (4ab+3)
    7·1 answer
  • 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46
    9·2 answers
  • How is density calculated given mass and volume
    5·2 answers
  • A frustum is made by removing a small cone from a similar large cone in the diagram shown the height of a small cone is a quarte
    11·1 answer
  • Simplify the expression.
    13·1 answer
  • Special Right Triangles
    6·1 answer
  • 50% of 180 dancers said they prefer hip hop class over tap class. How many dancers prefer hip hop class?
    10·1 answer
  • 2) Regina and Gino each had a piece of string. Regina's string measured inches long. Gino's string measured inches long. How muc
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!