Answer:
x = -24
Step-by-step explanation:
First, distribute 2 to all terms within the parenthesis:
2(x + 11) =
2 * x = 2x
2 * 11 = 22
2x + 22 = -26
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 22 from both sides of the equation:
2x + 22 (-22) = -26 (-22)
2x = -26 - 22
2x = -48
Next, divide 2 from both sides of the equation:
(2x)/2 = (-48)/2
x = -48/2
x = -24
x = -24 is your answer.
~
Answer:
E. 35°, 70°
Step-by-step explanation:
Sum of angles add up to 180° in every triangle.
Step 1: Set up equation
a + 2a + 75 = 180
Step 2: Combine like terms
3a + 75 = 180
Step 3: Subtract 75 on both sides
3a = 105
Step 4: Divide both sides by 3
a = 35
So 1 angle is 35°
Step 5: Plug in <em>a</em> to find last angle
2(35) = 70°
consider the numbers are x,2x,3x,4x,5x
Given;
(x+2x+3x+4x+5x)/5 = 11
15x = 55
x= 55/15 = 11/3
The numbers are
11/3, 22/3, 11, 44/3, 55/3
Applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.
<h3>How to Solve a Right Triangle Using Trigonometry Ratio</h3>
The Trigonometry Ratios are:
- SOH - sin∅ = opp/hyp.
- CAH - cos∅ = adj/hyp.
- TOA - tan∅ = opp/adj.
Thus, given:
∅ = 51°
hyp = 3
adj = x
cos 51 = x/3
x = (cos 51)(3)
x = 1.9
Thus, applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.
Learn more about Trigonometry Ratio on:
brainly.com/question/4326804
<u>Complete Question:</u>
Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.
<u>Correct Answer:</u>
A) 
B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch
<u>Step-by-step explanation:</u>
a. Write an equation to represent the area of the reduced image.
Let the reduced dimensions is by x , So the new dimensions are
According to question , Area of new image is :
⇒ 
⇒ 
⇒ 
So the equation will be :
⇒
b. Find the dimensions of the reduced image
Let's solve :
⇒ 
⇒ 
⇒ 
By Quadratic formula :
⇒ 
⇒ 
⇒ 
⇒ 
x = 15 is rejected ! as 15 > 10 ! Side can't be negative
⇒ 
Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch
