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elena-s [515]
2 years ago
7

A field is a rectangle with a perimeter of 1120 feet. The length is 100 feet more than the width. Find the width and length of t

he rectangular field.
Mathematics
1 answer:
gtnhenbr [62]2 years ago
4 0

Answer:

<h2>Width = 230 ft.</h2><h2 />

Step-by-step explanation:

perimeter of a rectangle (P) = 2L + 2W

where;

P = 1120 ft.

L = 100 + W

find:  Width (W)

plugin values into the formula:

1120 = 2(100 + W) + 2W

1120 = 200 + 2W + 2W

1120 - 200 = 4W

W = 920 / 4

W = 230 ft.

proof:

P = 2(100 + 230) + 2(230)

1120 = 660 + 460

1120 = 1120 ---ok

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What is true about AngleQRT? Select two options.
stiv31 [10]

The complete question is

"Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT?

Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ"

The true about AngleQRT options are A abd B; ∠QRT = 90 and ∠QRT = ∠SRT

<h3>What is the congruent triangle?</h3>

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given information;

The triangle QST is isosceles with QT ≅ ST.

The ∠STR and ∠RTQ are congruent.

Now, consider two triangles ∠QTR and ∠STR

In the following triangle

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Now, according to SAS rule, two congruent triangles have congruent corresponding to their sides,

1. QR ≅ SR

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1 year ago
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ANEK [815]

Answer:

x = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
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<u>Algebra I</u>

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Step-by-step explanation:

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<u>Step 2: Solve for </u><em><u>x</u></em>

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  2. Combine like terms:                                                                                     3x + 2 = 2x + 10
  3. {Subtraction Property of Equality] Subtract 2x on both sides:                    x + 2 = 10
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<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

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