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:
2√13
Step-by-step explanation:
using the distance formula;
d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
you plug the numbers in. once done you get 2√13.
Hope it helps!
The above questions answer is 8 and 14
Part 1) we have that
volume smaller solid=512 cm³
volume larger solid=2197 cm³
we know that
volume larger solid=[scale factor]³*volume smaller solid
scale factor=∛[volume larger solid/volume smaller solid]
scale factor=∛[2197/512]-----> scale factor=1.625
Part 2)
the ratio of the surface areas is equal to [scale factor]²
1.625²-------> 2.64
Part 3)
surface area smaller solid=960 cm²
then
surface area larger solid=scale factor²*surface area smaller solid
surface area larger solid=[1.625]²*960-----> 2535 cm²
surface area larger solid is 2535 cm²
The algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)
<h3>Algebraic expression to show how much Maria paid for the tickets</h3><h3 />
- Number of tickets Maria bought = 5
- Cost of each tickets = $20
- Additional fee per tickets = $2
let
- Total amount Maria paid for the tickets = y
Total amount Maria paid for the tickets = Cost of each tickets(Number of tickets Maria bought) + Additional fee per tickets(Number of tickets Maria bought)
y = 20(5) + 2(5)
y = 100 + 10
y = $110
Therefore, the algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)
Read more about algebra expression:
brainly.com/question/2972832
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