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3 years ago

Help........Write an equation and solve:

Mathematics

1 answer:

Tom [10]3 years ago

3 0

Answer:

5 months

Step-by-step explanation:

Equate the formulas for the weights of the two boys:

J's weight = 120 lb + (10 lb/mo)m = D's weight = 150 lb + (4 lb/mo)m

Solve as follows: Subtract 120 lb from both sides:

(10 lb/mo)m = 30 lb + (4 lb/mo)m.

Then: (6 lb/mo)m = 30 lb, and m = (30 lb) / (6 lb/mo) = 5 months

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Find angle x and y. Please show step by step process.

lora16 [44]

Answer:

x = 60, y = 25

Step-by-step explanation:

Δ ABC has 3 congruent sides and is equiangular, thus

the 3 angles are congruent, all 60°

x = 60

∠ ABC and ∠ CBD are adjacent and supplementary, sum to 180° , then

∠ CBD = 180° - 60° = 120°, so

y = 180 - (120 + 35) = 180 - 155 ← sum of angles in triangle

y = 25

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3 years ago

Write an equation of a line in slope intercept form that is parallel to y = 3x+6 and passes through the point (-10, 2.5)

TiliK225 [7]

1) Line should be parallel to y = 3x+6, so slope of this line should be =3.

y=mx +b

y=3x +b

Now we have to find b (y-intercept), using the point (-10, 2.5).

2.5 = 3*(-10)+b

b=2.5+30=32.5

y=3x + 32.5

2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.

Now we have to find b (y-intercept), using the point (-16, -11).

y=(1/4)x +b

-11=(1/4)*(-16) + b

-11 = -4 +b

b = -7

y=(1/4)x - 7

3 0

3 years ago

Brian tied a 136-foot rope around the perimeter of his rectangular house. He knows that the length of the house is 10 feet less

STALIN [3.7K]

Answer:

length 42 cm and width 26 cm

Step-by-step explanation:

Given

Since Brian tied 136 foot rope around the perimeter , hence perimeter of house is 136 foot.

Given that shape of house is rectangular.

formula to calculate perimeter of rectangle can be used which is 2*(L+B)

where L is length of rectangle and B width of rectangle

Let the L and B be length of rectangular side of house

According to question

length of house is 10 feet less than twice the width of house

mathematically it can be represented as

L = 2*B - 10 --->eq. 1

Perimeter of house = 136 feet

using formula of Perimeter of rectangle

136 = 2*(L+B)

substituting the value of length in terms of width from eq. 1 in formula of perimeter

=> 136/2 = 2*B - 10 + B (2*B+ B = 3B)

=> 68 = 3*B - 10

=> 78 = 3*B

B = 78/3 = 26

Therefore B which is width = 26 CM

length = 2*B - 10= 26*2 - 10 = 52-10=42

length of house = 42 cm

Hence dimension of Brian's house is length 42 cm and width 26 cm

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Tomtit [17]

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3 years ago

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