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2 years ago

Find the value of X in each of the given triangles.

Mathematics

1 answer:

pychu [463]2 years ago

8 0

Answer:

x = 24

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

3x + 2x + 60° = 180°

Step 2: Solve for x

Combine like terms: 5x + 60 = 180
Isolate x term: 5x = 120
Isolate x: x = 24

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Please help i dont understand

Greeley [361]

Given:

A quadrilateral inscribed in a circle.

To find:

The value of x and y.

Solution:

If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.

$5x^\circ+110^\circ=180^\circ$ [Supplementary angles]

$5x^\circ=180^\circ -110^\circ$

$x^\circ=\dfrac{70^\circ}{5}$

$x^\circ=14^\circ$

The value of x is 14 degrees.

$2y^\circ+104^\circ=180^\circ$ [Supplementary angles]

$2y^\circ=180^\circ -104^\circ$

$y^\circ=\dfrac{76^\circ}{2}$

$y^\circ=38^\circ$

Therefore, the value of x is 14 degrees and the value of y is 38 degrees.

3 0

2 years ago

Write 47/21 as a decimal rounded to the nearest tenth

aleksley [76]

The answer is 2.2 .... hope this helps!! :D

6 0

3 years ago

Read 2 more answers

Geri spent Friday, Saturday and Sunday selling a total of 24 magazines orders for her school.The amounts on those 3 days were co

ryzh [129]

The sale on Friday = x = 6

The sale on Saturday = x+2 = 6 + 2 =8

The sale on Sunday = x+4 = 6+4 =10

Step-by-step explanation:

Let x be the sale of Friday

Then

x+2 will be the sale of Saturday

x+4 will be the sale of Sunday

According to the given statement, that the total sales were 24

$x+(x+2)+(x+4) = 24\\x+x+2+x+4 = 24\\3x+6 = 24\\Subtracting\ 6\ from\ both\ sides\\3x+6-6=24-6\\3x=18\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3} = \frac{18}{6}\\x=6$