Answer:
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
The point P is the center of the circle (the drawing is not a scale )
step 1
Find the measure of angle ∠CPD
we know that
---> by supplementary angles (form a linear pair)
step 2
Find the measure of arc DC
we know that
<u><em>Central angle</em></u> is the angle that has its vertex in the center of the circumference and the sides are radii of it
so
----> by central angle
therefore
Answer:
A. a = 10
B. m<FNT = 120°
C. m<KTU = 60°
Step-by-step explanation:
A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:
(7a + 50)° = (14a - 20)°
Use this equation to find the value of a
7a + 50 = 14a - 20
Combine like terms
7a - 14a = - 50 - 20
-7a = -70
Divide both sides by -7
-7a/-7 = -70/-7
a = 10
B. m<FNT = (14a - 20)° (alternate interior angles are congruent)
Plug in the value of a
m<FNT = 14(10) - 20
m<FNT = 140 - 20
m<FNT = 120°
C. m<KTU + (14a - 20)° = 180° (linear pair)
Plug in the value of a
m<KTU + 14(10) - 20 = 180
m<KTU + 120 = 180
m<KTU + 120 - 120 = 180 - 120
m<KTU = 60°
When you divide both sides by 5
The solution of the expression is -1 ⇒ 3rd answer
Step-by-step explanation:
Let us revise some important rules on the number line
- If we add number to another number we move to right
- If we subtract a number from another number we move to left
∵ The expression is negative 2 minus 3 minus (negative 4)
∵ negative 2 = (-2)
∵ minus means (-)
(-2) minus 3 means move 3 units from (-2) to left, so you will pass -3, -4, and stop at -5
∴ (-2) - 3 = -5
∵ minus (negative 4) = - (-4)
- Remember (-)(-) = (+)
∴ minus (negative 4) = + 4
That means move 4 units to the right from -5, then you will pass -4, -3, -2, and stop at -1
∴ -5 + 4 = -1
∴ The expression (-2) - 3 - (-4) = -1
The solution of the expression is -1
Learn more:
You can learn more about the directed numbers in brainly.com/question/10364988
#LearnwithBrainly
Answer =18cm^2
Where by
A=L*W
Vol=[L*W]*H
90cm^3=A*5
90=5A
90/5=5A/5
A=18cm^2
