I'll do the first problem to get you started.
Triangle SRT is a right triangle with the 90 degree angle located at angle RST. This is because segment SR is an altitude of the triangle. Altitudes of a triangle go from a vertex to the opposite side, and they are perpendicular to the opposite side.
The acute angles of right triangle SRT add up to 90 degrees. They are complementary angles.
(angle SRT) + (angle STR) = 90
(4x-8) + (6x+13) = 90 .... substitution
10x + 5 = 90
10x + 5 - 5 = 90 - 5 .... subtract 5 from both sides
10x = 85
10x/10 = 85/10 .... divide both sides by 10
x = 8.5
Therefore the answer is choice A) x = 8.5
Answer:
<h2>3/5</h2><h2>
Step-by-step explanation:</h2>
<h2>HOPE IT HELPS!!!!</h2><h2 />
<h2>If it is correct mark as BRAINLIEST ✌️</h2>
Answer:
Chord 12 cm long subtends an angle of 40 degrees at the center of a circle.
θ= 40° = 0.698 rad
Let R be the radius of circle.
Chord Length = 2Rsin(θ/2)
12=2R sin (0.698 /2)
R= 17.54
Ans: Radius of circle = 17.54 cm
Answer:
x = 9
Step-by-step explanation:
1) Subsitute! You have to replace y with 2x - 2 in 3x -y = 7, b/c they already gave you the equation for y (in the second part: y = 2x - 2)
So, your equation would look like this : 3x - (2x - 2) = 7
3) Solve suing PEMDAS!
There's a negative outside the parenthesis of 2x -2 -> - (2x-2). Multiply the negative individually inside the parenthesis so you will get (-2x + 2)
3x - 2x - 2 = 7 subtract the same variable; x
1x - 2 = 7 you don't need to put 1 to x, only if you want!
+ 2 + 2 add 2 on both sides
x = 9
Answer:
y=2x+4
Step-by-step explanation:
slope=2 as parallel lines have the same slope
y=2x+b , if x=2 then y=8 , so 2x2+b=8
so, b=4
Therefore the equation is y=2x+4
