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2 years ago

Justify your answer

Mathematics

1 answer:

BaLLatris [955]2 years ago

7 0

Answer:

8cm

Step-by-step explanation:

x is similar to the side 12cm.

We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.

Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.

Find the scale factor:

Triangle 1/Triangle 2

Divide two similar sides.

6/9 = 2/3

Multiply the scale factor by the similar side to find x.

x = 12*(2/3)

x = 8

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If points N, U, and T are collinear, name all the segments they determine.

nexus9112 [7]

Collinear=On the same line

N-U

N-T

U-T

I believe that is what this questions is asking. :)

3 0

2 years ago

Read 2 more answers

1. Last year a fishing license cost $52.00. This year the license will cost $46.80.

Talja [164]

Answer:

10%

Step-by-step explanation:

First, get the drop in value by deducting the price this year from last year's price.

Value decrease=$52.00-$46.80=$5.20

To express it as a percentage, we divide it by the original price which was $52.00 then multiply by 100 hence the percentage decrease will be

$\frac {5.20}{52.00}\times 100=10\ %$

Therefore, the price decreases by 10%

6 0

2 years ago

PLEASE I NEED HELP FAST!!!! :(

USPshnik [31]

Answer:

Slide/Transformation

Step-by-step explanation:

If you slide the rectangle, it would fit in the new coordinates. You might have to slide it multiple directions.

Plz mark brainliest!! :P

3 0

2 years ago

PLEASE HURRY<br> I am having trouble

BabaBlast [244]

Answer:

Step-by-step explanation:

(5+7)/7=12/7.

Green box = 12.

5 0

11 months ago

Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D

Ivahew [28]

Check the picture below.

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D$

$\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D$

7 0

2 years ago