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:
1. The monthly payment is $689.5
2. The total amount to be paid is
$224,580.
Step-by-step explanation:
Salsa and Corn Broom all reached an agreement upon the price of $197,000.
- The plan on making a 30 percent down payment. This implies that the will pay 0.3 × $197,000 = $59,100
This leaves them with
$197,000 - $59,100
= $137,900 to pay.
The plan on financing this remaining amount at 6 percent for 20 years.
This means they will pay
0.06 × $137,900 = $8,274 for 20 years. This translates to the payment of $8,274 × 20 = $165,480 across the 20 years.
1. The monthly payment is the yearly payment divided by 12.
Which is $8,274 ÷ 12 = $689.5
2. The total amount to be paid is
$165,480 + $59,100
= $224,580.
Answer
Find out the how much does one apple cost .
To prove
Let us assume that the number of bananas be x .
Let us assume that the number of apples be y .
As given
At a greengrocer, two bananas and one apple cost $1.16 .
Than the equation becomes
2x + y = 1.16
one banana and one apple cost $0.71.
Than the equation becomes
x + y = 0.71
Subtracting x + y = 0.71 from 2x + y = 1.16
2x - x + y - y = 1.16 - 0.71
x = 0.45
Put in the equation x + y = 0.71
0.45 + y = 0.71
y = 0.71 - 0.45
y = $0.26
Therefore the cost of the one apple is $0.26 .
Do six multiply fifteen which equals to 90
Segment XZ and segment ZX