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Mathematics

1 answer:

krok68 [10]3 years ago

7 0

Hi there!

Since the sum of all angles in any triangle always adds up to 180 degrees, we can calculate this and solve for x.

4x + x + x = 180°
6x = 180
180 ÷ 6 = x
x = 30

So, now we know that x is 30°.

Hope this helps!

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There were 500 animals at an animal shelter. On Saturday, 20 of the dogs and 15 of the cats were adopted. What percentage of the

babymother [125]

Answer:

Step-by-step explanation:

First, let's add the 20 dogs and 15 cats together to find the total number of animals adopted

20 + 15 = 35 animals adopted

We cand do 35 ÷ 200 to find how much of a percent 35 is of 500

35 / 500 = 0.07

Multiply this number by 100 to get a percent

0.07 × 100% = 7%

7% of the animals

7 0

2 years ago

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Suppose an architect draws a segment on a scale drawing with the end points (0,0) and (3⁄4,9⁄10). The same segment on the actual

Kipish [7]

Segment drawn on scale having end points O (0,0) and A $(\frac{3}{4},\frac{9}{10})$ is a line segment.

O A= $\sqrt{[\frac{3}{4} -0]^{2} +[\frac{9}{10} -0]^{2}\\\\$

O A = $= \sqrt{\frac{9}{16}+\frac{81}{100}$

= $\sqrt\frac{549}{400}$

= $\frac{\sqrt{549}}{20}$

Now , the same segment actual structure having end points O'(0,0) and B (30,36) is also a line segment.

O'B= $\sqrt{(30-0)^{2}+(36-0)^{2}$

= $\sqrt{900+1296}$

= $\sqrt {2196}$

= 2√549

$\frac{\text{Actual length}}{\text{Length on scale}}=\frac{OB'}{OA}=\frac{2\sqrt549}{\frac{\sqrt549}{20}}=40$ [Cancelling √549 from numerator and denominator]