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
Masteriza [31]
2 years ago
9

How do you find x in this question?

Mathematics
1 answer:
ivanzaharov [21]2 years ago
7 0

Answer:

  x = 70°

Step-by-step explanation:

The relevant relations are ...

  • base angles of an isosceles triangle are congruent
  • consecutive interior angles where parallel lines meet a transversal are supplementary

__

Triangle OBQ is isosceles, so angle OQB = 40°. Triangle OPQ is isosceles, so angle OQP is x. The sum of angles OQB and OQP is angle BQP, which is supplementary to angle OPQ. That is, ...

  (40° +x) +x = 180°

  2x = 140° . . . . . . subtract 40°

  x = 70° . . . . . . divide by 2

_____

There are many ways to find x. The one shown here is just one of them. In general, right triangles, isosceles triangles, symmetry, inscribed angles can all be used to write relations involving the known angles and x.

You might be interested in
Which of the following factors could explain why Dellva Energy had a negative net cash flow last year, even though the cash on i
Dvinal [7]

Answer:

The company sold a new issue of bonds.

Step-by-step explanation:

A new issue of bonds is commonly known as a process or a way by which companies try to acquire a substantial amount of money via bonds selling in a typical bond market. The company, in this case, recorded a negative net cash flow in its balance sheet even with an increase in cash flow because it sold a new issue of bonds.

7 0
3 years ago
Is the graph a linear function, non linear function, or relation
serious [3.7K]

a LINEar function has well, the graph of a straight line, so this isn't that.

is it a relation? well, yes, because the y-value correlates with the x-value, so one depends or relates to the other.

is it a non-linear function?  well, a function has to pass the <u>vertical line test</u>, meaning if we draw vertical lines they must touch the graph only once on their way down.... and in this case it seems they do, so it is non-linear clearly, and it's also a function.

7 0
3 years ago
Ms. Barclay orders birthday cupcakes for the month of June from an online vendor. Each cupcake costs $1.25 and there is a one-ti
artcher [175]

Answer:

Ms. Barclay ordered 9 cupcakes.

Step-by-step explanation:

$1.25x9=11.25

11.25+3.25=$14.50

8 0
3 years ago
The ratio of the side lengths of a quadrilateral is 3:5:6:9. If the perimeter is 92 cm, what is the length of the shortest side?
galina1969 [7]

Answer:

no clue

Step-by-step explanation: not sure

3 0
3 years ago
The number of people who attended an art conference for five days was 42,27,35,39, and 96 . Describe the effect of the outlier o
Svet_ta [14]
The 96 makes the mean and median much higher that it should be.
3 0
3 years ago
Other questions:
  • A squirrel burrowed 4 holes in 6 minutes. How many holes could the squirrel burrow in 9 minutes?
    8·1 answer
  • The function g is defined by the following rule. g(x)=5x-4 <br> complete the function table
    10·2 answers
  • Which sentence explains the correct first step in the solution of this equation?
    7·2 answers
  • The first three terms of a geometric sequence are as follows.
    11·2 answers
  • Which of the following is a characteristic of all parallelograms?
    8·2 answers
  • Solve the equation for y.<br><br> 8x – 9y = 11
    5·2 answers
  • A golf ball travels a distance of 600 feet as measured along the ground and reaches an altitude of 200 feet. If the origin repre
    15·2 answers
  • a box of socks contain 5 white socks 3 grey socks 4 black socks and 1 blue sock. is Sophie closes her eyes and randomly pick two
    10·1 answer
  • 100 POINTS GIVE AWAY IS BACK!!!
    10·2 answers
  • eldted. Go to volume of a cylinder C and volume of a cone e, and complete each step below.Question 1Drag the orange points on th
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!