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
The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of
defon
The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.

Solve for the hypotenuse of the right triangle formed.
           h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.

 sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
 cos  θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1
7 0
3 years ago
Help pls and thank uu
Sergio039 [100]

Answer:

f(- 4) = - 4

Step-by-step explanation:

f(- 4) with x = - 4 gives f(- 4) = - 4

5 0
3 years ago
last weekend, mandy collected 4 times as many shells as cameron .together,the collected 40 shells.how many sheels did mandy coll
ehidna [41]
It would be ten because 40 divided by 4 is ten
3 0
3 years ago
This scatter plot shows the number of baskets made and the time in minutes that has passed.
irina1246 [14]

Scatter plots are used to relate variables using scattered dots.

The best prediction for the number of baskets made in 16 minutes is (c) 14 baskets

From the graph, we can see that the number of baskets made in 14 minutes is 12.

Also, from the graph; as the minutes increases, the number of baskets either remain the same or increases.

This means that, for 16 minutes, the number of baskets would either be 12 (same as 14 minutes) or greater.

The closest to 12 baskets in the option is 14.

Hence, the best prediction for the number of baskets made in 16 minutes is (c) 14 baskets

Read more about scatter plots at:

brainly.com/question/6592115

4 0
3 years ago
Convert 0.025 days to seconds
EleoNora [17]

Answer:

2,160 seconds

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Back of last questions answer as many as possible
    6·1 answer
  • Can someone help me with this question please?
    13·1 answer
  • 35 is less than the difference of 21 and a number
    8·1 answer
  • Given that (5,6) is on the graph of f(x), find the corresponding point for the function 4f(x)
    5·1 answer
  • Please answer<br> will mark as brainliest
    15·2 answers
  • Find the range for this data set {3,5,7, 3, 6, 4, 8, 6, 9, 5) *
    11·2 answers
  • Instructions: Solve the following equation for the variable given.
    7·1 answer
  • What is the Area of this composite polygon
    9·1 answer
  • Plot a point on the coordinate plane to represent each of the
    12·1 answer
  • Help asap
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!