The value of x in the trapezoid given, to the nearest tenth, is: 10.5.
<h3>What is a Trapezoid?</h3>
A trapezoid is a quadrilateral that has two sides only that are parallel to each other.
<h3>What is the Area of a Trapezoid?</h3>
To find the area of a trapezoid, the formula used is expressed as: 1/2(a + b) × h, where:
- a and b are length of the two base sides that are parallel.
- h is the height of altitude of the trapezoid.
Given the following:
Area of trapezoid = 174 units²
AP = 6
PB = x + 3
CD = 2x + 6
AC = 10
Using the formula, we variables in the formula are:
a = AP + PB = 6 + x + 3 = x + 9
b = CD = 2x + 3
h = PC = √(AC² - AP²)
h = √(10² - 6²) = 8
Plug in the values into 1/2(a + b) × h:
174 = 1/2(x + 9 + 2x + 3) × 8
174 = 1/2(3x + 12) × 8
174 = (3x + 12) × 4
174 = 12x + 48
174 - 48 = 12x
126 = 12x
126/12 = x
10.5 = x
x = 10.5
Learn more about the trapezoid on:
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Answer:
3 5/12 cups of flour are needed
Step-by-step explanation:
The flour-sugar total is 3 2/3 cups, of which 1/4 cup is sugar. So, to find the amount of flour used, we subtract 1/4 cup (sugar) from the total (3 2/3 cups):
11 1
----- - ---- where 11/3 is the improper fraction form of 3 2/3
3 4
The LCD is 12. Rewriting this subtraction using the LCD, we get:
44 3
---- - ----- = 41/12 (cups) = 3 5/12 cups
12 12
3 5/12 cups of flour are needed
You are adding x pounds of hamburger to an existing 60 pounds. You want the total price to be 1.00 per pound times the total number of pounds.
The appropriate choice is the last one:
x + 60 = y and 1.05x + 0.90(60) = 1.00y
Answer:
the answer that i find is 17-3x