Answer:
32 degrees
Step-by-step explanation:
The diagram of the problem is drawn and attached.
In Triangle WXZ
105+43+=180 (Sum of Angles in a Triangle)
148+=180
=180-148
=32 degrees
Since |XY|//|WZ| (parallel to)
= (Alternate Angles)
Therefore:
=32 degrees
Answer:
y=4
x=-3
Step-by-step explanation:
4(-3)-9y=-48
-12-9y=-48
-9y=-36
y=4
x=-3
Answer:
m∠QPR = 35° m∠QPM =40° m∠PRS = 30°
Step-by-step explanation:
ΔPRQ is a right triangle with right angle at R. So m∠QPR = 90 - 55 = 35
ΔQPM is a right triangle with right angle at M. So m∠QPM = 90 - 40 = 40
Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.
So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60
Now arc PS is the intercepted arc for ∠PRS.
Therefore, m∠PRS = 60/2 = 30
I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times. Also, I used the fact that the acute angles of a right triangle are complementary. And, finally I used the fact that an inscribed angle in a semicircle is a right angle.
I hope this helped.
Answer:
I am sorry but I do not understand it =(
The expression C. cubic represents the bacterium's volume.
Step-by-step explanation:
Step 1:
The E. Coli bacterium is in the shape of a cylinder.
The volume of a cylinder is given by multiplying π with the square of the radius (r²) and the height of the cylinder.
The volume of a cylinder,
In the given diagram, E. Coli has a radius of 1 and a height of 0.5 .
Step 2:
By substituting the values in the equation, we get
The volume of the E. Coli bacterium cubic .
This is option C.