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
mario62 [17]
2 years ago
5

Find The value of x, y and z​

Mathematics
1 answer:
Ratling [72]2 years ago
5 0

Answer:

x = 18 ; y = 10 ; z = 102°

Step-by-step explanation:

The triangle in the pic is an isosceles triangle.

As it is an isosceles triangle , it's two sides will be equal .

=  > 3x - 42 = 12

=  > 3x = 42 + 12 = 54

=  > x = \frac{54}{3}  = 18

Also, both the base angles will be equal.

4y - 1 = 39

=  > 4y = 39 + 1 = 40

=  > y =  \frac{40}{4}  = 10

According to angle sum property of a triangle , sum of measure of all the angles of a triangle is equal to 180°. So,

z + 39 + 39 = 180

=  > z + 78 = 180

=  > z = 180 - 78 = 102

You might be interested in
Solve For x.<br> (-4x+5)-(6x+7)=0<br><br> (Pls Explain Your Answer in Simple Terms)
Alchen [17]

Answer:

- 4x + 5 - (6x + 7)  = 0\\   - 4x + 5 - 6x - 7 = 0 \\  - 10x - 2 = 0 \\ 10x + 2 = 0 \\ 10x =  - 2 \\ x =  \frac{ - 2}{10}  \\ x =  - .2 \\ thank \: you

6 0
2 years ago
Read 2 more answers
Rahul earns 21,000 in 7 months.
tekilochka [14]

Answer:

a _ 12×21000/7 = 36000

b _ 33 × 7 / 21000= 11 months

8 0
2 years ago
Points B and B' have symmetry with respect to P. Find the coordinates of P when B is (2, 8) and B' is (2, 2). A. (2, 5) B. (0, 5
Alecsey [184]

Answer:

A. (2, 5)

Step-by-step explanation:

If B and B' have symmetry, then P is a midpoint between those points. We can determinate the location of point P by using the midpoint equation, whose vectorial form is:

P(x,y) = \frac{1}{2}\cdot B(x,y)+\frac{1}{2}\cdot B'(x,y) (Eq. 1)

If we know that B(x,y) = (2,8) and B'(x,y) = (2,2), then the location of P is:

P(x,y) = \frac{1}{2}\cdot (2,8)+\frac{1}{2}\cdot (2,2)

P(x,y) = (1, 4)+(1,1)

P(x,y) = (2, 5)

Which corresponds to option A.

7 0
3 years ago
Alex has a small notebook that is shaped like a rectangle. She knows one side is 6 cm and another side is 4 cm. Explain how to f
brilliants [131]
6+6+4+4
Add all of the side lengths together.
5 0
3 years ago
Read 2 more answers
The area of a right triangle with one leg measuring 5 ft. and hypotenuse measuring 13 ft. is_______ a0. Type a numerical answer
Snowcat [4.5K]

Area of the triangle = (1/2)*base*height

For right triangle base and height can be legs.

We have one leg = 5 ft. (Lets think it is a base.)


We need to find the other leg.

We are going to use Pythagorean theorem.

5² + b²=13²

b²=144

b=12 (It is going to be our height.)


Area of the triangle = (1/2)*5*12= 30 ft²

Area of the triangle = 30 ft²


5 0
3 years ago
Other questions:
  • It is only 24 not any of the other ones.
    15·1 answer
  • Sally's librarian told her that she could increase the size of her vocabulary by spending more time reading. Based on this infor
    15·1 answer
  • Solve this equation using substitution.<br><br> {4x + y = −2}<br> {4x + 6y = 44}
    6·1 answer
  • What is the answer to 12=4-4x
    7·2 answers
  • a) If four cards are drawn from a standard deck of 52 cards and ARE replaced, what is the probability of getting at least one he
    9·1 answer
  • What is the perimeter of square ABCD?​
    11·1 answer
  • a problem asks the students to find the slope of the line that passes through the points (-6,21) and (6,-27) Quin says that the
    8·1 answer
  • Someone help I don’t understand
    10·2 answers
  • Help meee pleaseee ~ :)) &lt;3
    9·2 answers
  • Can someone solve this?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!