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mylen [45]
3 years ago
7

What is the measure of AC?

Mathematics
2 answers:
Firlakuza [10]3 years ago
5 0

Answer:

AC = 52.8

Step-by-step explanation:

33/20 = 1.65

12*1.65 = 19.8

BA = 19.8

CB + BA = AC

33 + 19.8 = 52.8

lawyer [7]3 years ago
5 0

Answer:

AC = 52.8

Step-by-step explanation:

Since BE is parallel to CD and intersects the 2 sides of the triangle then it divides those sides proportionally, that is

\frac{BC}{AB} = \frac{DE}{AE}, substituting values

\frac{33}{AB } = \frac{20}{12} ( cross-  multiply )

20AB = 396 ( divide both sides by 20 )

AB = 19.8

Thus

AC = AB + BC = 19.8 + 33 = 52.8

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Which must be true? Select all that apply.
Fittoniya [83]

Answer:

A, B, E

Step-by-step explanation:

6 0
2 years ago
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lisabon 2012 [21]

I'm assuming you need to evaluate/simplify the equation, so you need to isolate/get x by itself in the equation:

2(3x + 1) = 11        Divide by 2 on both sides

3x + 1 = \frac{11}{2}        [11/2 or 5.5] Subtract by 1 on both sides

3x=\frac{11}{2}-\frac{2}{2}            [make the denominator the same to combine fractions]

3x = \frac{9}{2}        Divide by 3 on both sides

x = \frac{9}{6}=\frac{3}{2}  

7 0
2 years ago
A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there we
IRINA_888 [86]

Answer:

52 roses and 117 sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is 4:9, we can represent how many there are of each as 4x and 9x, respectively. We know that there are 65 more sunflowers than roses, so we can set up the following equation to solve for x:

4x+65=9x

Solving for x, we get:

4x+65=9x

4x+65-4x=9x-4x (Subtract 4x from both sides of the equation to isolate x)

65=5x (Simplify)

5x=65 (Symmetric Property of Equality)

\frac{5x}{5}=\frac{65}{5} (Divide both sides of the equation by 5 to get rid of x's coefficient)

x=13 (Simplify)

Therefore, since x=13, we know that there are 4x=4*13=52 roses and 9x=9*13=117 sunflowers. Hope this helps!

4 0
3 years ago
Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth) A) 35.2 B) 39.
jenyasd209 [6]
<h3><u>Given Numbers:-</u></h3>
  • 23, 33 ,33 ,27 ,25 ,68 ,27 ,44 ,72

<h3><u>To Find:-</u></h3>
  • average of this set of numbers

<h3><u>Solution</u>:-</h3>

\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}}

\longrightarrow Here, no of observation are 9

Now,

\begin{gathered}\implies \small \sf Average =\frac{23+33+33+27+25+68+27+44+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \small \sf Average =\frac{56+60+93+71+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average =\frac{116+164+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average =\frac{352}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average = 39.1 \\\end{gathered}

\longrightarrowThe Average of given set of numbers is 39.1 .

∴ Option C) is correct ✔️

3 0
2 years ago
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34kurt

Answer:

It would be B.

Step-by-step explanation:

4.5 hours = 270 minutes

5 0
3 years ago
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