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05.10.2020 •
Mathematics
In the diagram, AngleTRV ≅ AngleVRW.
2 lines intersect. A line with points T, R, W intersects a line with points S, R, V at point R.
What is the measure of AngleSRT?
mAngleSRT = ___ degrees
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Ответ:
The measure of angle TRV is 130° ⇒ last answer
Step-by-step explanation:
* According to the attached graph
- Line TRW intersects line SRV at point R
- The measure of angle VRT is (2x + 10)°
- The measure of angle VRW is (x - 10)°
- We need to find measure of angle TRV
- From the attached figure
∵ T , R , W lie on the same line
∴ ∠TRW is a straight angle
- The measure of the straight angle is 180°
∴ m∠TRW = 180°
∵ ∠TRW contains ∠VRT and ∠VRW
∴ m∠VRT + m∠VRW = m∠TRW
∴ m∠VRT + m∠VRW = 180°
∵ m∠VRT = (2x + 10)°
∵ m∠VRW is (x - 10)°
∴ 2x + 10 + x - 10 = 180
- Add like terms
∴ 3x = 180
- Divide both sides by 3
∴ x = 60
∵ m∠TRV = (2x + 10)°
- Substitute x by 60
∴ m∠TRV = 2(60) + 10 = 120 + 10 = 130°
∴ The measure of angle TRV is 130°
Ответ:
Option C. is the correct option.
Step-by-step explanation:
The given line in the graph passes through two points (0, 3) and (3, 7).
We have to find the equation of the line.
Since y = mx + c is the standard equation of a line
where m = slope of the line
c = y - intercept
Slope of a line m =
Now we put the values of x and y to find the slope of this line.
m =
Since (0, 3) passes through the line
3 = 0 + c
c = 3
Equation of the line will be
Option C. is the answer.