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Varvara68 [4.7K]
2 years ago
5

Please answer and use statement reason

Mathematics
1 answer:
masha68 [24]2 years ago
8 0

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

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Sections of prefabricated fencing are each 4 1/3 feet long. how long are 6 1/2 sections placed end to end
zalisa [80]

we know that

4\frac{1}{3}= \frac{(4*3+1)}{3} =\frac{13}{3}

6\frac{1}{2}= \frac{(6*2+1)}{2}=\frac{13}{2}

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Multiply the number of sections by the length of one section

so

\frac{13}{2} *\frac{13}{3} =\frac{169}{6}\ ft

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4 years ago
Read 2 more answers
Please help! 12 points
Ivahew [28]

Answer:

Step-by-step explanation:

sin2x = 2sinx*cosx

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         = 2\sqrt{(1-cos^{2}x } * cosx

         = 2  \sqrt{1-\frac{3}{5} ^{2} } *\frac{3}{5}

         = \frac{8}{5}  * \frac{3}{5}  

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Nathan needs to order some new supplies for the restaurant where he works. The restaurant needs at least 571 forks. There are cu
Step2247 [10]

Answer:

The inequality representing  s, the number of sets of forks Nathan should buy is

s ≥ 21

Step-by-step explanation:

From the question, the restaurant needs at least 571 forks, i.e., if n represents the number of forks the restaurant needs, then

n ≥ 571

Also from the question, there are currently 361 forks. If y represents the number of forks the restaurant needs to buy, then

y ≥ 571 - 361

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Also, each set on sale contains 10 forks. if s represents the number of sets of forks Nathan should buy, then

s ≥ 210/10

s ≥ 21

Hence, the inequality representing  s, the number of sets of forks Nathan should buy is

s ≥ 21

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3 years ago
Write the equation of the line in the slope-intercept form.<br> M=4/5, y-intercept (0,1)
netineya [11]

Answer:

y=4/5x+1

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y=mx+b

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m= 4/5

b=   1   (0,1) y-value

Equation:

           y=4/5x+1

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