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sleet_krkn [62]
3 years ago
15

14. Two parallel lines l and m are intersected by a transversal t. If the interior angles on same side of transversal are (2x−8)

o and (3x−7)o . Find the measure of these angles.
Mathematics
1 answer:
nlexa [21]3 years ago
8 0

Answer:

70° and 110°

Step-by-step explanation:

It is given that, two parallel lines l and m are intersected by a transversal t.

The interior angles on same side of transversal are (2x−8)° and (3x−7)°.

We need to find the measure of these angles.

We know that, the sum of interior angles of the same side of the  transversal is equal to 180°. So,

(2x−8)° + (3x−7)° = 180°

⇒ 5x-15=180°

⇒5x=180°+15

⇒5x=195

⇒x=39

Put x = 39 in (2x−8)°,

(2x−8)° = (2(39)-8)°

=70°

Again put x = 39 in (3x−7)°,

(3x−7)° = (3(39)-7)°

=110°

So, the measure of these angles are 70° and 110°.

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The question is incomplete because it was not properly and correctly arranged

Complete Question:

A rectangular prism has a length of 7 m, a height of 5 m, and a volume of 140 m³. What is the width? A prism has a length of 7 meters, width of w, and height of 5 meters.

Which steps are correct? Check all that apply.

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b) Substitute the known values into the formula: 7 = 140(w)(5).

c) Substitute the known values into the formula: 5 = 7(w)(140).

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e) Solve for the unknown: w = 7 m.

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d) Solve for the unknown: w = 4 m.

Step-by-step explanation:

The steps that are correct are Options a) and d). This is because:

Step 1

The volume of a rectangular prism is calculated as:

Volume of a rectangular prism = Length (l) × Width(w) × Height(h)

The unit of the volume or a rectangular prism is in cubic metres (m³)

In the question, we are asked to find the unknown value which is the width and we were given the following known values:

Length = 7 m,

Height = 5 m

Volume = 140 m³

Step 2

Solve for the unknown value( Width)

Volume of a rectangular prism = Length (L) × Width(W) × Height(H)

140m³ = 7m × Width(m) × 5m

140m³ = 35m² × Width(m)

Width(w) = 140m³ ÷ 35m²

Width(w) = 4m

Hence, the unknown Width(w) = 4m

From the above explanation we can see that the correct steps is Option a) and Option d)

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