Answer:
Step-by-step explanation:
The value of x is 7 ⇒ 1st answer
Step-by-step explanation:
* Lets revise a fact in the circle
- The two tangents drawn from a point out side the circle are equal
∵ RSTUV is circumscribed about a circle
∴ Each side of the pentagon is a tangent to the circle
- Look to the attached figure to know how we will solve the problem
- Each tangent divided into two parts
# RS = x + y
∵ RS = 8
∴ x + y = 8 ⇒ (1)
# RV = x + n
∵ RV = 12
∴ x + n = 12 ⇒ (2)
- Subtract (2) from (1)
∴ y - n = -4 ⇒ (3)
# ST = y + z
∵ ST = 12
∴ y + z = 12 ⇒ (4)
# TU = z + m
∵ TU = 15
∴ z + m = 15 ⇒ (5)
- Subtract (5) from (4)
∴ y - m = -3 ⇒ (6)
# UV = m + n
∵ UV = 9
∴ m + n = 9 ⇒ (7)
- Add (6) and (7)
∴ y + n = 6 ⇒ (8)
- Lets solve equation (3) and equation (8) to find y
∵ y - n = -4 ⇒ (3)
∵ y + n = 6 ⇒ (8)
- Add (3) and (8)
∴ 2y = 2 ⇒ divide two sises by 2
∴ y = 1
- Lets substitute the value of y in equation (1)
∵ x + y = 8 ⇒ (1)
∵ y = 1
∴ x + 1 = 8 ⇒ subtract (1) from both sides
∴ x = 7
* The value of x is 7
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Answer:
30°
Step-by-step explanation:
First we take the full amount of degrees from points A to C, which is given as 125° then subtract 94°, which is the given amount from points A to D, this results in 30°
Answer:
Step-by-step explanation:
So, we started out with 128 ounces of milk.
Each day, Joann drinks 14 ounces of milk.
Therefore, the amount of milk left over after x days is 14 times x subtracted from 128.
Therefore, our function is:
And we're done!
Answer:
the answer is D. 147 degrees
Step-by-step explanation:
114+33=147
check answer by
180-147=33
33+33+114=180
Answer:
549
Step-by-step explanation:
A calculator can give you an equivalent expression.
I might work from the middle outward:
= 486 -3 +33×2
= 483 +66
= (480 +60) + (3 +6)
= 540 + 9
= 549
