Answer:
The correct answer is first option
24
Step-by-step explanation:
From the figure we get, mAXM = 72° and m<AMR = 38°
Also it is given that, all triangles are isosceles triangles and
m<FXA = 96°
<u>To find the measure of <FXM</u>
From the figure we get,
m<FXA = m<AXM + m<FXM
m<FXM = m<FXA - m<AXM
= 96 - 72
= 24
Therefore the correct answer is first option
24
Answer:
6 7/8
Step-by-step explanation:
Since 1 cup of rice is added to 2 3/4 water
We are to determine the Amount of water to be to 2 1/2 cups of rice
Let the unknown number for water be x
So let's solve
1 cup of rice=11/4 water
5/2 cup of rice=x water
Cross multiply
x=5/2×11/4
x=55/8
X=6 7/8
Therefore,6 7/8 water is needed
(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,

Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,

Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,

Simplifying, we get,



Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

Thus, the measure of ∠CBD is 60°
thanks me later
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Answer:
12
+ 29x - 14
Step-by-step explanation:
(3x+2)(4x-7)
Multiply out 3x first then 2
(3x * 4x) - (3x * -7) + (2 * 4x) + (2 * -7)
12
- (- 21x) + 8x + ( -14)
12
+ 21x + 8x - 14 Combine like terms
12
+ 29x - 14