Solve your equation step-by-step.
2(x−3)−17=13−3(x+2)
Simplify both sides of the equation.
2(x−3)−17=13−3(x+2)
Simplify
2x−23=−3x+7
Add 3x to both sides.
2x−23+3x=−3x+7+3x
5x−23=7
Add 23 to both sides.
5x−23+23=7+23
5x=30
Divide both sides by 5.
5x/5 = 30/5
x=6
Answer:
1.2 cups
Step-by-step explanation:
6 cups / 5 batches = 1.2 cups/batch
Answer:
b
Step-by-step explanation:
I did that
Answer:
Answer in simplified form is:
(sinФ - cosФ)² + (sinФ + cosФ)² = 2
Step-by-step explanation:
Given,
(sinФ - cosФ)² + (sinФ + cosФ)²
This can be simplified as:
(sin²Ф + cos²Ф - 2sinФcosФ) + (sin²Ф + cos²Ф +2sinФcosФ)
We know that : sin²Ф + cos²Ф = 1
So,
( 1 - 2sinФcosФ) + (1 + 2sinФcosФ)
or 1 + 1 -2sinФcosФ + 2sinФcosФ
or 2
Hence we got (sinФ - cosФ)² + (sinФ + cosФ)² = 2
<h3>Answer: 82 degrees</h3>
====================================
Work Shown:
The four pieces, or arcs, of the circle add up to 360 degrees. Use this fact to find the measure of minor arc AD.
(minor arc AD) + (minor arc DC) + (minor arc CB) + (minor arc BA) = 360
(minor arc AD) + (120) + (100) + (96) = 360
(minor arc AD) + 316 = 360
minor arc AD = 360-316
minor arc AD = 44 degrees
------------
Combine minor arcs AD and DC to form arc ADC
arc ADC = (minor arc AD) + (minor arc DC)
arc ADC = (44) + (120)
arc ADC = 164 degrees
------------
Lastly, use the inscribed angle theorem
inscribed angle = (1/2)*(arc measure)
angle B = (1/2)*(arc ADC)
angle B = (1/2)*(164)
<h3>angle B = 82 degrees</h3>
