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sp2606 [1]
2 years ago
15

△ABC is similar to △QRS by the AA Similarity Postulate . The measure of ∠A is 72º and the measure of ∠S is 56º.

Mathematics
1 answer:
Inessa [10]2 years ago
8 0
A △  Has to have 180º so 72+56 b would have to be appx. 52degrres 
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Find the missing side to the triangle in the attached image.
kari74 [83]

Answer:

x=34

Step-by-step explanation:

1. formula for Pythagorean Theorem for right trangles is <u>a^2+b^2=c^2</u>

2. a=30 and b=16, so (30)^2+(16)^2=c^2

3. (30)^2=900 and (16)^2=256

4. 900+256=1156

5. 1156=c^2

6. \sqrt{1156} =\sqrt{c^2}

7. the square root of 1156 is 34, so c=34

8. The missing side of the triangle, labeled as "x<em>"</em> is 34

8 0
2 years ago
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What times what equals -36 and adds up to -5
kolbaska11 [484]
The answer is -9 and 4. -9×4 = -36. -9+4 =-5
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2 years ago
If a gardner plants beans in 1/8 of a plot and tomatoes in 1/6 of a plot, what fraction of the garden is left for other crops
JulsSmile [24]

You simply have to sum the two fraction together to get the total amount of occupied plot. To do so, multiply both numerator and denominator of each fration by the same number, so that they end up having the same denominator.

You can multiply both numerator and denominator of 1/8 by 3 to get 3/24. Similarly, you can multiply both numerator and denominator of 1/6 by 4 to get 4/24.

Now we can easily sum the two fractions together:

\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{3}{24}+\dfrac{4}{24} = \dfrac{7}{24}

So, if 7 parts out of 24 are occupied, it means that there are 24-7=17 parts left for other crops. So, the answer is 17/24.

5 0
2 years ago
What addition expression is equivalent to<br> 3-(-7)?
Lesechka [4]

Answer:

3 - (-7)

= 3 + 7.

Step-by-step explanation:

A double negative  is equivalent to a plus.

4 0
3 years ago
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Which equation is parallel to the line LaTeX: y=\frac{1}{2}x+3y = 1 2 x + 3and passes through the point (10, -5)?
sukhopar [10]

Answer:

Equation\ of\ line:\ y=\frac{1}{2}x-10

Step-by-step explanation:

Let\ the\ required\ equation\ is\ y=mx+c\\\\where\ m\ is\ the\ slope\ of\ the\ equation\ and\ c\ is\ y-intercept\\\\It\ is\ parallel\ to\ the\ equation\ y=\frac{1}{2}x+3\\\\Hence\ slope\ of\ these\ two\ lines\ will\ be\ same.\\\\Slope\ of\ y=\frac{1}{2}x+3\ is\ \frac{1}{2}\\\\Hence\ slope\ of\ y=mx+c\ is\ \frac{1}{2}\Rightarrow m=\frac{1}{2}\\\\Equation:y=\frac{1}{2}x+c\\\\Line\ passes\ through\ (10,-5).\ Hence\ this\ point\ satisfies\ the\ equation\ of\ line.\\\\-5=\frac{1}{2}\times 10+c

-5=-5+c\\\\c=-10

Equation\ of\ line:\ y=\frac{1}{2}x-10

8 0
2 years ago
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