In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.

In ACD, If ACAD, MA = 3x 4, MC = 5x + 1, And MD = 7x 27, Find X And The Measure Of Each Angle.

Answers

Answer 1

Answer:

x = 14

m∠A = 38°

m∠C = 71°

m∠D = 71°

Step-by-step explanation:

By the property of a triangle,

"Sum of interior angles of a triangle is 180°"

m∠A + m∠C + m∠D = 180°

By substituting the values of the angles given in the question,

(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°

(3x + 5x + 7x) + (-4 + 1 - 27) = 180

15x - 30 = 180

15x = 210

x = 14

Therefore, m∠A = 3x - 4

                           = 3(14) - 4

                           = 38°

m∠C = 5x + 1

        = 5(14) + 1

        = 71°

m∠D = 7x - 27

         = 7(14) - 27

         = 98 - 27

         = 71°


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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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. A person weighing 120 pounds has about 20 pints of blood in their body. Which equation below represents the relationship between pints of blood, b, to a person's weight, w?

Answers

Answer:

[tex]w = 6b[/tex]

Step-by-step explanation:

Given

[tex]b = blood[/tex]

[tex]w = weight[/tex]

[tex]b = 20; when\ w = 120[/tex]

Required

Determine the equation that binds both parameters

First, we need to determine the constant of proportionality using:

[tex]w = k * b[/tex]

Where k represents the constant.

Substitute 120 for w and 20 for b

[tex]120 = k * 20[/tex]

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Step-by-step explanation:

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Just here for reassurance!
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Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

The slope is found by

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   = -3/-32

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5.
As shown in the diagram below, lines m and n are
cut by transversal p.
р
m
n
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2
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Answers

The value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

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As we can see in the figure, the lines m and n are cut by transversal p.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?

Answers

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[tex]f(x) = 5x - 4[/tex]

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[tex]f(2a) = 5(2a) - 4[/tex]

[tex]f(2a) = 10a - 4[/tex]

[tex]156 = 10a - 4[/tex]

[tex]10a - 4 = 156[/tex]

Add sides 4

[tex]10a - 4 + 4 = 156 + 4[/tex]

[tex]10a = 160[/tex]

Divide sides by 10

[tex] \frac{10a}{10} = \frac{160}{10} \\ [/tex]

[tex]a = 16[/tex]

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» Which expression shows 35 + 15 written as a product of two factors?

Answers

Answer:

[tex]35 + 15 = 5 * 10[/tex]

The factors are 5 and 10

Step-by-step explanation:

Given

[tex]35 + 15[/tex]

Required

Express as a product of two factors

[tex]35 + 15[/tex]

Start by factorizing the expression:

[tex]5(7 + 3)[/tex]

Add the expression in the bracket

[tex]5(10)[/tex]

Replace bracket with *

[tex]5 * 10[/tex]

Hence:

[tex]35 + 15 = 5 * 10[/tex]

The expression which shows 35 + 15 written as a product of two factors is 5(7 + 3).

What is meant by expression?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Let the expression be 35 + 15

Express as a product of two factors

35 + 15

Factorizing the expression we get

5(7 + 3)

simplifying the above expression, we get

5 (10)

Hence:

35 + 15 = 5 × 10

Therefore, the correct answer is option b) 5(7 + 3).

The complete question is:

Which expression shows 35 + 15 written as a product of two factors?

a) 5(6 + 3)

b) 5(7 + 3)

c) 7(5 + 2)

d) 7(5 + 3)

To learn more about expression refer to:

https://brainly.com/question/1859113

#SPJ2

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