Answer:
Answer: D) 3.75
Step-by-step explanation:
According to the Insersecting chords theorem, when you multiply the lengths of the segments of one of the chords in a circle, the product obtained is equal to the product of the segments of the other chord.
Based on this, you can find the value of "x" with:
Solve for "x" (Applying the Division property of equality, you can divide both sides of the equation by 4). Then:
This value matches with the option D.
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Given:
Point F,G,H are midpoints of the sides of the triangle CDE.
To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get
GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get
Now, the perimeter of the triangle CDE is:
Therefore, the perimeter of the triangle CDE is 56 units.
X = (15 - 8y)/9
-5[(15 - 8y)/9] + 12y = -107
(-75/9) + (40/9) + 12y = -107
y = -8.59
x = [15 - 8(-8.59)]/9
x = 9.3
(x,y) = (9.3, -8.59)
If A and B are complementary angles, then they add up to 90 degrees.
So A + B = 90 => (x + 24) + (x + 16) = 90 => 2x + 40 = 90 => 2x = 50.
So x = 25, and thus, the measurement of B is (25 + 16) = 41.
The measurement of angle A is (25 + 24) = 49, and indeed they are complementary.
Answer:
y = 8x − 2
Step-by-step explanation:
x =the number of boxes
Total jars of tomato sauce is each box contains 8 jars so that is 8 x x=8x
2 jars were removed making it 8x-2
y will be 8x-2
