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3 years ago

Consider this figure. Enter the measure of

Mathematics

2 answers:

Alik [6]3 years ago

5 0

Answer:

Step-by-step explanation:

(4x) + (7x + 2) = 90

11x + 2 = 90

11x = 88

x = 8

(7x + 2) = 7(8) + 2 = 58

kotykmax [81]3 years ago

3 0

Step-by-step explanation:

4x + 7x + 2° = 90° { being complementary angles }

11x = 90° - 2°

11x = 88°

x = 88° / 11

x = 8°

<YVZ = 7 * 8° + 2° = 58°

Hope it will help :)

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What is 1/4 as a whole number?

wlad13 [49]

The whole number of $\dfrac{1}{4}$ is $\boxed{0.25}.$

Further explanation:

Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.

Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.

Given:

The number is $\dfrac{1}{4}.$

Explanation:

The whole numbers is the series of numbers that starts from zero.

The natural numbers are those numbers that start from one.

The place values are only natural numbers.

The base ten systems represent the position of a place value.

The given number is $\dfrac{1}{4}.$

Consider the number $\dfrac{1}{4}$ as $\text{A}$ .

$A = \dfrac{1}{4}$

Divide 1 by 4 to obtain the whole of $\dfrac{1}{4}.$

$\begin{aligned}\text{A}&= \frac{1}{4}\\&= 0.25\\\end{aligned}$

The decimal expansion of $\dfrac{1}{4}$ is $0.25.$

The whole number of $\dfrac{1}{4}$ is $\boxed{0.25}.$

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: place value, base value, decimal expansion, whole number, natural number, division, multiplication, subtraction, solve the equation, solution, linear equation, line, decimal.

3 0

3 years ago

Read 2 more answers

What is the area of ruth's mural?

pentagon [3]

Answer:

Step-by-step explanation:

Comment

The shape consists of a rectangle on the bottom and a trapezoid on the top.

Rectangle

A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.

Area = L * w

L = 14

w = 3

Area = 14 * 3 = 42 m^2

Trapezoid

The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5

Area = 1/2(b1 + b2)*h/2

b1 = 14

b2 = 10

h = 8 - 3 = 5

Area = 1/2 ( 14 + 10) * 5 / 2

Area = 1/2 (24)*5

Area = 12 * 5

Area = 60 m^2

Total Area 102 m^2

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