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weeeeeb [17]
2 years ago
10

Tom's age is four times that of his sister. When you add Kim's age to her brother's, you get 15. How old are Tom and Kim?

Mathematics
1 answer:
Kamila [148]2 years ago
3 0

Answer:

Kim is 3, Tom is 12

Step-by-step explanation:

4x + x = 15

combine like terms

5x = 15

divide both sides by five

x = 3

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Answer:

A trapezoid ABCD is show below,

AB || CD

AC and BD are diagonals intersecting at P.

(a)

In Δ ABC and ABD,

Area of triangle ABC = Area of triangle ABD

Because,

Area of triangle ABC = 1/2 × Base × Height

Base = AB

Height = h, which is same for both the triangle that's why,

Area of triangle ABC = Area of triangle ABD

(b)

As we know that,

Area of triangle ABC = Area of triangle ABD

On subtracting the area of triangle ABP from both the triangles, we get

Area of triangle ABC - area of triangle ABP = Area of triangle ABD - area of triangle ABP

⇒ area of triangle BCP = area of triangle DAP

Hence, triangles BCP and DAP have the same area.

(c)

In triangle ABP and CDP,

∠ABP = ∠CDP (opposite interior angles are equal between two parallel lines)

∠APB = ∠CPD (opposite angles are equal)

∠BAP = ∠DCP (opposite interior angles are equal between two parallel lines)

Therefore,

By AAA similarity

Triangles ABP and CDP are similar.

(d)

In triangle BCP and DAP,

Only ∠BCP = ∠APD (opposite angles are equal).

Therefore,

Triangles BCP and DAP need not be similar.

8 0
3 years ago
80ptss!!! Consider the following expressions shown below.
Step2247 [10]
The first one is A the second is C and the third is B
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3 years ago
A bike wheel has a radius of 12 inches. How far will someone travel in 500 rotations? About how far is this in feet? Round to th
Lorico [155]

Answer:

3142 feet

Step-by-step explanation:

first, find the circumference of the wheel.

approx 75.4

every one rotation you travel approximately 75.4 inches

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8 0
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The winning 5K race time was less than 22 minutes.
Vladimir79 [104]

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im not entirely sure how to help you

Step-by-step explanation:

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3 years ago
What value of B makes the expression. x² + Bx + 81 a perfect square trinomial?
Oxana [17]

Answer:

B.) 18

Step-by-step explanation:

To find the correct b value we use this formula

b² - 4ac = 0

b = What we are solving for

a = 1

c = 81

b² - 4(1)(81) = 0

b² - 324 = 0

b² = 324

b = \sqrt{324}

b = ±18

And 18 is one of the answer choices

So B.) 18 is the correct answer.

4 0
2 years ago
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