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
Korolek [52]
2 years ago
8

In need help Relationships in Triangles

Mathematics
1 answer:
liubo4ka [24]2 years ago
3 0

Answer: x = 17

Step-by-step explanation: Since ray SQ bisects <TSR, we know

that the m<TSQ ≅ m<QSR by the definition of an angle bisector.

So we can setup the equation (3x - 9) + (3x - 9) = 84

using the angle addition postulate.

Simplifying on the left gives us 6x - 18 = 84.

Now add 18 to both sides to get 6x = 102.

Now divide both sides by 6 so x = 17.

You might be interested in
What is the area of this circle?
Ilia_Sergeevich [38]

Answer:

12.57

Step-by-step explanation:

Not rounded it would be 12.56637

If you are just replacing pi with 3.14. than your answer would be exactly 12.56.

4 0
2 years ago
A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

\theta = \frac{360\°}{16}=22.5\°

Where all sectors have equal area.

Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx  3.5

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43

Therefore, the height is 3.43 centimeters, approximately.

6 0
3 years ago
A postcard has an area of 10 square inches. Two enlargements of the postcard have areas of 40 square inches and 160 square inche
insens350 [35]

Answer:

62

Step-by-step explanation:

3 0
3 years ago
Find the slope of the line that passes through (14, -26) and (15, 14).
tatuchka [14]

Answer:

Slope is 40

Full equation: y=40x-586

Step-by-step explanation:

Slope is y2-y1/x2-x1

14 is x1

-26 is y1

15 is x2

14 is y2

14-(-26)/15-14

40

So the slope is 40

To find the equation

y=40x+b

14=15(40)+b

14=600+b

b=-586

Equation:

y=40x-586

5 0
2 years ago
The graph shows the location of P in point hour. Point are is on the Y axis and has the same Y coordinate of point PPoint Q is
sergejj [24]

Answer:

I cant understand read ur lesson and ask help from ur teacher

#CarryOnLearning

6 0
2 years ago
Other questions:
  • What is the answer for question 11. Please tell me.
    5·1 answer
  • Find the area of a parallelogram bounded by the y-axis, the line x = 3, the line f (x) = 1 + 2x, and the line parallel to f (x)
    5·1 answer
  • Determine which system below will produce infinitely many solutions.
    12·1 answer
  • If F'(x)=<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B1%2Bx%5E%7B3%7D%20%7D%20" id="TexFormula1" title=" \sqrt{1+x^{3} } " alt
    15·1 answer
  • The rectangle below has an area of 60y^4 square meters and a length of 30y meters. What is the width of the rectangle?
    10·1 answer
  • Olga flips 2 fair coins. What is the probability of obtaining a different result on each coin?
    9·2 answers
  • Plzzzz help meeeeeeeeeeeeeeeeeeeeeeeeeeee
    6·1 answer
  • Cho tam giác ABC cân tại A, góc A=36 độ, BC=1 cm, phân giác CD. Hãy tính cos góc A
    9·1 answer
  • Can someone help with this
    12·1 answer
  • The diagram shows a circle with centre
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!