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2 years ago

Find x in the image below

Mathematics

1 answer:

Zanzabum2 years ago

8 0

Check the picture below.

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Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an applicatio

Andreas93 [3]

Answer:

Total cost of membership will be the same for both gyms after 5 months.

Step-by-step explanation:

Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.

Tami's Toning does not charge an application fee, but charges $14 per month for membership.

To find: After how many months will the total cost of membership be the same for both gyms

Solution:

Let $t$ denotes number of months after which total cost of membership will be the same for both gyms

For Suzy's Sculpting gym,

Total charges $= 10+12t$

For Tami's Toning,

Total charges $=14t$

Now solve $10+12t=14t$

$10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5$

So, total cost of membership will be the same for both gyms after 5 months.

6 0

3 years ago

Triangle RST is rotated 180° about the origin, and then translated up 3 units. Which congruency statement describes the figures?

Mazyrski [523]

Answer: ΔRST ≅ ΔBAC

Step-by-step explanation:

We know that To rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y).

Thus, The coordinates of Δ RST becomes

R (1,1) → R'(-1,-1)

S (3,4) → S'(-3,-4)

T(-5,0) → T'(5,0)

Also ΔRST after rotation is translated up 3 units. , so we apply the rule (x,y)→(x,y+3)

R'(-1,-1)→R"(-1,-1+3)=R"(-1,2)→ B

S'(-3,-4) → S"(-3,-4+3) = R"(-3,-1) → A

C'(-5,0) → C"(-5,0+3) → C"(-5,3) → C

As rotation and translation both are rigid transformation that maps only congruent figures.

Therefore, ΔRST ≅ Δ BAC

7 0

3 years ago

Read 2 more answers

Please help pre algebra 8th grade

otez555 [7]

Answer:

28 degrees

Step-by-step explanation:

152 is the exact same measure as angle 2.

To get to 180 you have to add 152 + angle 1

Angle one is the same as angle 3.

180 - 152 = 28

Hope this helps

5 0

3 years ago

A sector of a circle has a central angle to 10° and arc length 28 pi units what is the radius of the circle

Dennis_Churaev [7]

Answer:

Radius = 504units

Step-by-step explanation:

Angle = 10°

Length of arc = 28π units

L = ∅/360 × 2πr

28π = 10/360 × 2πr

28π = 1/36 × 2πr

2πr = 28π × 36

π cancelled off.......

2r = 28 × 36

r = (28 × 36)/2

r = 28 × 18

r = 504units

8 0

3 years ago

P − 6 = −5 pls help meeee

ExtremeBDS [4]

Answer:

p−6=−5

Add 6 to both sides.

p−6+6=−5+6

p=1

I hope it helps.

5 0

3 years ago