Answer:
x = 1/3
Step-by-step explanation:
15 = 1/2 + 3/2x + 10
15 - 1/2 -10 = 3/2x
9/2 = 3/2x
9 x 2x = 3 x 2
18x = 6
x = 6/18
x = 1/3
<h3>
Answer: 48</h3>
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Explanation:
Triangle ABC is isosceles because AC = BC.
The angles opposite these congruent sides are angle ABC and angle BAC. These are the base angles.
For any isosceles triangle, the base angles are congruent.
Angle BAC = 69 degrees is given. So angle ABC = 69 as well.
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The missing angle must add to the two other angles so that all three angles in a triangle add to 180
(angle ABC) + (angle BAC) + (angle BCA) = 180
69 + 69 + (angle BCA) = 180
138 + (angle BCA) = 180
angle BCA = 180-138
angle BCA = 42
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Angle DCE is congruent to angle BCA because they are vertical angles.
Triangle DCE is a right triangle. The missing angle is 90-(angle BCA) = 90-42 = 48
angle EDC = 48 degrees
Answer:

Step-by-step explanation:
-A rectangle's area is given by:

Given A=
and
, we substitute in the formula to solve for the width as follows:

Hence , the rectangle's width is 
Answer:
Option D. 3:1, $120
Step-by-step explanation:
The complete question in the attached figure
Part 1) What is the ratio between the amount of money contributed by Anna and the amount contributed by her mother?
Let
x -----> the amount of money contributed by Anna
y ----> the amount of money contributed by her mother
we know that
Looking at the table
The value of x is equal to
The value of y is equal to
Find the ratio x/y
substitute the values
Part 2) What was the total amount saved in April?
we know that
To find out the total amount saved in April, adds Mon's contribution in April plus Anna's contribution in April
so
Answer:
The solution is (3/8, -7/8).
Step-by-step explanation:
y = −5x + 1
y = 3x − 2
Since the 2 expressions in x are both equal to y :
−5x + 1 = 3x - 2
-5x - 3x = -2 - 1
-8x = -3
x = 3/8.
So y = 3x - 2
= 3(3/8) - 2
= 9/8 - 2 = -7/8.