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3 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x

Mathematics

2 answers:

sashaice [31]3 years ago

4 0

Answer:

Step-by-step explanation:

The angles that we are sure about is 33 and 90. The angles of a triangle add up to 180. 33 + 90 = 123. 180 - 123 = 57. 57 = 7x+8, 49 = 7x, x = 7.

kondaur [170]3 years ago

3 0

Answer:

x = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set Up Equation

33° + 90° + (7x + 8)° = 180°

Step 2: Solve for x

Combine like terms: 7x + 131 = 180
Isolate x term: 7x = 49
Isolate x: x = 7

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tankabanditka [31]

Answer:

Two equivalent fractions with whole numbers may be 180/150, or 6/5

The height of the tree is 39.6 feet.

Explanation:

The diagram provides the proportion of the heights to the shadows:

$\frac{x}{33}=\frac{1.8}{1.5}$

From that you are asked (i) to simplify the fraction of the right side to one with whole numbers.

You can do that in two steps by multiplying both numerator and denominator by 10:

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You can simplify that fraction if you divide by the greatest common factor of 180 and 150, which is 30:

$\frac{180/30}{150/30}=\frac{6}{5}$

The second part (ii) asks to find the height of the tree, that is x. To solve for x you can multiply both sides by the denominator of the fraction on the left and then simplify:

$\frac{x}{33}=\frac{6}{5}\\ \\ x=\frac{6\times 33}{5}\\ \\ x=\frac{198}{5}=39.6$

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6 0

3 years ago

Select all the expressions that are the result of decreasing x by 80%

Kaylis [27]

Answer:

A,B,E or 1,2,5

if its letters or numbers.

Step-by-step explanat

8 0

3 years ago

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baherus [9]

Answer:

102

Step-by-step explanation:

lets say x=2

so,

2x+2 would be 4+2

x would be 2

and 3x+8 would be 6+8

add up the sums,

6+2+80+14

and you get 102

so your answer is 102

Hope this helps! :)

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3 years ago

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