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makvit [3.9K]
3 years ago
10

(250 Points If your right!) Triangle ABC is similar to triangle DEF. Find the measure of side FD. (Round your answer to the near

est tenth PLEASE.)

Mathematics
1 answer:
ryzh [129]3 years ago
3 0

Answer:

x=88.09

Step-by-step explanation:

19/11 = x/51

11x=969

x=969/11 or x=88.09

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What is the distance between (4, 7 and (2,2?
Oxana [17]
Square root of 29, use pythagorean theorem
7 0
4 years ago
In a survey of a community, it was found that 85% of the people like winter season and 65% like summer season. If none of them d
KengaRu [80]

Answer:

50%

Step-by-step explanation:

Let :

Winter = W

Summer = S

P(W) = 0.85

P(S) = 0.65

Recall:

P(W u S) = p(W) + p(S) - p(W n S)

Since, none of them did not like both seasons, P(W u S) = 1

Hence,

1 = 0.85 + 0.65 - p(both)

p(both) = 0.85 + 0.65 - 1

p(both) = 1.50 - 1

p(both) = 0.5

Hence percentage who like both = 0.5 * 100% = 50%

6 0
3 years ago
your work 14 hours last week a d earned a total of $96 befor taxes. your job as a lifeguard pays $8 per hour and your job as a c
Genrish500 [490]

You would have worked 6 hours as lifeguard and 8 hours as cashier.

8(14 - y) + 6y = 96

112 - 8y + 6y = 96

112 - 2y = 96

-2y = -16

y = -16/-2 = 8

You worked 8 hours as a cashier. since the total hours worked is 14 we know you worked as a lifeguard for 6 hours.

7 0
3 years ago
an oatmeal recipe calls for 1 1/2 cups of oat and 2 1/2 cups of water. A If you have 3 cups of oats,how many cups of oats water
natima [27]

\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}~\hfill \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}\\\\[-0.35em]\rule{34em}{0.25pt}


A)


\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]3&x\end{array}\implies \cfrac{~~\frac{3}{2}~~}{3}=\cfrac{~~\frac{5}{2}~~}{x}\implies \cfrac{~~\frac{3}{2}~~}{\frac{3}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{x}{1}}\implies \cfrac{3}{6}=\cfrac{5}{2x}\\\\\\6x=30\implies x=\cfrac{30}{6}\implies \blacktriangleright x=5 \blacktriangleleft


B)


\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]2&x\end{array}\implies \cfrac{~~\frac{3}{2}~~}{2}=\cfrac{~~\frac{5}{2}~~}{x}\implies \cfrac{~~\frac{3}{2}~~}{\frac{2}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{x}{1}}\implies \cfrac{3}{4}=\cfrac{5}{2x}\\\\\\6x=20\implies x=\cfrac{20}{6}\implies x=\cfrac{10}{3}\implies \blacktriangleright x=3\frac{1}{3} \blacktriangleleft


C)


\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]5&x\end{array}\implies \cfrac{~~\frac{3}{2}~~}{5}=\cfrac{~~\frac{5}{2}~~}{x}\implies \cfrac{~~\frac{3}{2}~~}{\frac{5}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{x}{1}}\implies \cfrac{3}{10}=\cfrac{5}{2x}\\\\\\6x=50\implies x=\cfrac{50}{6}\implies x=\cfrac{25}{3}\implies \blacktriangleright x=8\frac{1}{3} \blacktriangleleft


D)


\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]x&3\end{array}\implies \cfrac{~~\frac{3}{2}~~}{x}=\cfrac{~~\frac{5}{2}~~}{3}\implies \cfrac{~~\frac{3}{2}~~}{\frac{x}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{3}{1}}\implies \cfrac{3}{2x}=\cfrac{5}{6}\\\\\\18=10x\implies \cfrac{18}{10}=x\implies \cfrac{9}{5}=x\implies \blacktriangleright 1\frac{4}{5}=x \blacktriangleleft

8 0
3 years ago
Look at the graph of the linear function. On a coordinate plane, a line goes through 4 points. Point A is (negative 2, negative
vekshin1

Answer:

2

Step-by-step explanation:

Point c is at (1, 2)

point d is at (2, 4)

rate of change formula

(f(d) - f(c))/2 - 1

f(2) = 4

f(1) = 2

4-2/1 = 2

8 0
4 years ago
Read 2 more answers
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