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|First of all, the triangles are equal by ASA the way the diagram has been marked.
B and E are both right angles.
Side BC = Side DE
<BCA =< EDA
So triangle BCA = triangle EDA
Now to the letters.
x = y - 1 Add 1 to both sides.
x + 1 = y (1)
3x - 2 = 2y + 1 Subtract 1 from both sides.
3x -2 - 1 = 2y
3x - 3 = 2y Divide by 2
3x/2 - 3/2 = 2y/2
1.5x - 1.5 = y (2)
Step One
Since (1) and (2) both have y isolated on their respective right sides, they can be equated.
1.5x - 1.5 = x + 1 Take an x from both sides.
0.5x - 1.5 = x - x + 1
0.5x - 1.5 = 1 Add 1.5 to both sides.
0.5x = 1 + 1.5
0.5x = 2.5 Divide 0.5 on both sides.
0.5x/0.5 = 2.5/0.5
x = 5
Now we need a y value.
x = y - 1
5 = y - 1 Add 1 to both sides.
5 + 1 = y - 1 + 1
6 = y
So the 2 sides and the 2 angles are equal when
x = 5
y = 6
C Answer <<<<<<
Answer:
The unit rate at HEB is $0.23 per ounce. The unit rate at Fiesta is $0.25 per ounce. So HEB has the better buy for dish soap.
Step-by-step explanation:
To calculate unit rate, you divide the price by the oz.
So for HEB, you should do $2.80/12 oz. This will equal to $0.23 per ounce. For Fiesta, you should do $2.00/8 oz. This will equal to $0.25 per ounce.
To determine which one is the better buy, the lower priced one is better, meaning HEB is the better buy.
Step-by-step explanation:
Vertical Angles: Angles facing each other.
Example: 6 & 7
Complementary Angles: Angles adding up to 90 degrees / making a right angle.
Example: 9 & 10
Supplementary Angles: Angles adding up to 180 degrees / making a straight line.
Example: 7 & 8
Answer:
A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.
17°
27°
63°
73°
Step-by-step explanation:
Hi
4x-y=5
3x-7=2
We need to solve 3x-7=2 for x
Let's start by adding 7 to both sides
3x-7+7=2+7
3x=9
Now just divide both sides by 3 so we can find the value for x
3x/3=9/3
x=3
Now substitute 3 for x in 4x-y=5
4x-y=5
(4)(3)-y=5
-y+12=5
Now add -12
-y=12-12=5-12
-y=-7
Divide both sides by -1 so we can eliminate the negative sign
-y/-1=-7/-1
y=3
The answer is A
(3,7)
I hope that's help:0
