What is the area of the given trapezoid ABCD? A. 28 in2
B. 56 in2
C. 112 in2
D. 110 in2
Answers
To begin with, let's established the formula for the area of a trapezoid / trapezium as displayed below:
A of trapezoid = [ h ( a + b ) ] / 2
Now, let's substitue the values from the equation into the formula and then solve accordingly as displayed below:
h = 4
a = 6
b = 22
A = [ h ( a + b ) ] / 2
A = [ 4 ( 6 + 22 ) ] / 2
A = [ 4 ( 28 ) ] / 2
A = 112 / 2
A = 56 in2
Therefore, the answer is:
Option B. 56 in2
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Answers
Answer:
- 8 in
Step-by-step explanation:
- Rectangle has properties:
- Diagonals are congruent
- Opposite sides are congruent
- All angles are right
Given
- m∠ABD = 30°
- AC = 16 in
- BC = ?
Solution
As per properties mentioned above we have:
- BC = AD
- BD = AC = 16 in
ΔABD is right triangle with ∠B - 30°, ∠A- 90°, ∠D - 60°
Side opposite to 30 is half of the length of the hypotenuse
AD is opposite to ∠B and BD is the hypotenuse, then:
- AD = 1/2*BD
- AD = 1/2(16)
- AD = 8 in
and
- BC = AD = 8 in
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Answers
The compound inequality in x : -1 ≤ x ≤ 7
The correct graph is A .
Given, inequality: -4 ≤ 3x -1 and 2x + 4 ≤ 18 .
First inequality:
-4 ≤ 3x -1
Take -2 from RHS to LHS .
-4 + 1 ≤ 3x
-3 ≤ 3x
x ≥ -1
X will have values greater than equal to -1 .
Second inequality:
2x + 4 ≤ 18
take 4 from LHS to RHS.
2x ≤ 18 - 4
2x ≤ 14
x ≤ 7
x will have values less than equals to 7.
Combined result of both inequalities: -1 ≤ x ≤ 7 .Thus graph A is correct.
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Answer:
it's the first one where X is greater or equals to -1 and X is less or equals to positive 7
was the amount of his withdrawal, w, if his ending balance was $922.
O 982 - w = 922
O W - 982 = 922
O 922 - W = 982
Answers
Answer:
Try 60
Step-by-step explanation:
982-922=60
Answers
The given triangle is a righttriangle.
Option E is the correct answer.
What is a triangle?
A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The sum of the angles must be 180.
So,
45 + 45 + 90 = 180
This is a condition for the right triangle.
Thus,
The given triangle is a righttriangle.
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D and E
the triangle is right as it has a right angle as one of the 3 angles
the triangle is isosceles as it has 2 equal sides , indicated by the score on the equal sides and 2 equal base angles of 45°
Answers
Answers
Answer:A
Step-by-step explanation:
The dot means less than or equal to 2
Open dot means greater than 2