Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
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Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
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Explanations:
- The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
- In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
- On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
Answer:
Step-by-step explanation:
the formula for an arithmetic sequence is
a, a+d,a+3d,a+3d etc, where d is the common difference
we have the terms -6, 13,23
first term is -6
-6+19=13
however, 13+10=23
this is not an arithmetic sequence
Answer:
p=18x+4
a=20x^2+17x-63
a=1350
Step-by-step explanation:
Given:
l=5x-7
w=4x+9
Required:
Area of the rectangle=?
Perimeter of the rectangle=?
If x = 9 inches what is the area of the shape=?
Formula:
a=l*w
p=2(l+w)
Solution:
p=2(l+w)
p=2(5x-7)+2(4x+9)
p=10x-14+8x+18
p=10x+8x+18-14
p=18x+4
a=l*w
a=(5x-7)(4x+9)
a=20x^2+45x-28x-63
a=20x^2+17x-63
Area of the shape if x=9in
a=20x^2+17x-63
a=20(81)+17(9)-63
a=1620+153-63
a=1413-63
a=1350
The fraction computed shows that the cups of sugar that can be used based on the flour will be B. 4 1/2 cups.
<h3>How to calculate the fraction?</h3>
From the information, Jonah used 1 1/2 cups of brown sugar and 2 1/3 cups for flour.
Therefore, the cups of sugar needed will be:
= 1.5/2.33 × 7
= 4.5 = 4 1/2.
Learn more about fractions on:
brainly.com/question/78672
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Answer:
one hundred and ninety two point zero seven
Step-by-step explanation:
idk guess
