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
lisabon 2012 [21]
2 years ago
14

Find the values of x, y, and z. The diagram is not to scale.

Mathematics
1 answer:
rosijanka [135]2 years ago
5 0

Answer:

x= 81°, z= 99°, y°=68°

Step-by-step explanation:

considering the part of the triangle where 36° , 63° and x° is located as ΔABC.

to find the measure of x we use angle sum property.

We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.

so,

∠A + ∠B +∠C = 180°

36° + 63° + x° = 180°

99° + x° = 180°

x° = 180 - 99

x° = 81°

When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.

x° + z° = 180°

81° + z = 180°

z= 180 - 81

z= 99°

considering the next part of the triangle where 13° , z° and y° is located as ΔACD

to find the measure of y we use angle sum property.

∠A + ∠C + ∠D = 180°

13° + z° + y° = 180°

13°+99°+y°= 180°

112°+ y° = 180°

y°= 180- 112

y° = 68°

You might be interested in
Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solut
IRISSAK [1]
e^x=3.4\\
x=\ln 3.4\approx1.22\\\\
2^x+6=3\\
2^x=-3\\
x\in\emptyset
4 0
2 years ago
What is an equation of the line that passes through the point (- 2, 7) and is perpendicular to the line x - 4y = 24 ? Pls help
Ray Of Light [21]

Answer: y=4x-1

Step-by-step explanation: the line goes through (-2,7) and is perpendicular to the line x-4y =24

4 0
3 years ago
Am I correct on #13? ONLY REAL ANSWRS OR YOULL GET REPORTED
drek231 [11]

Answer:

Yeah

Step-by-step explanation:

8 0
3 years ago
Ethan picked p peaches. Gina picked 3 times as many peaches as Ethan. Write an expression that shows how many peaches Gina picke
zysi [14]
3*p using p to represent the peaches Ethan picked
6 0
3 years ago
Read 2 more answers
When a rate is simplifed so that it has a denominator of 1 unit, it is called a(n) ___________ rate.
dangina [55]

Answer:

called unit rate .

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • The product of 3 and 4 2/5
    11·1 answer
  • Me and brother are fighting abt the answer so we wanna know
    6·2 answers
  • What is bigger 2 miles or 3,526 yards
    7·1 answer
  • You have 5 reindeer, Jebediah, Ezekiel, Quentin, Lancer, and Gloopin, and you want to have 4 fly your sleigh. You always have yo
    8·1 answer
  • Question 1 (4 points)
    9·1 answer
  • Sara rode her bike at 9 mph, how many feet did she travel in 23 seconds?
    8·1 answer
  • ¿Cuál (es) de las siguientes sumas es(son) iguales a 1? (todos los numeros despues de la coma tienen una linea abajo)
    11·1 answer
  • (a-b+c)-(c+b)<br><br> I literally tried so many times i dont get it
    6·2 answers
  • 13. Given that y varies as x^2 and that y = 36 when x=3, find:
    7·1 answer
  • Joe has a 300 foot fence around his rectangular yard. The length is 10 feet more than the width. Which equation can you use to d
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!