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mihalych1998 [28]
3 years ago
6

In the picture below, line PQ is parallel to line RS, and the lines are cut by a transversal, line TU. The transversal is not pe

rpendicular to the parallel lines. Note: Figure is not drawn to scale. Which of the following are congruent angles?
Mathematics
1 answer:
natta225 [31]3 years ago
4 0

Answer:<W=<E the answer is W and E

Step-by-step explanation:

i got it right on study island

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What is the measure of angle D?
larisa [96]

Answer:

first find angle E

14 + 45 + e = 180 \\ 59 + e = 180 \\ e = 180 - 59 \\ e = 121

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2 years ago
What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction
katovenus [111]

Answer:

\dfrac{5}{y+5}

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

1st fraction: \dfrac{3y}{y^{2}+7y+10}

2nd fraction: \dfrac{2}{y+2}

Considering the denominator of 1st fraction:

y^{2}+7y+10

Using factorization method:

7y can be written as (2y + 5y).

\Rightarrow y^{2}+2y+5y+10

Taking <em>5 common</em> from 5y+10 and <em>y common</em> from y^{2}+2y: \Rightarrow y(y+2)+5(y+2)

Now taking (y+2) common:

\Rightarrow (y+5)(y+2)

\dfrac{3y}{y^{2}+7y+10} can be written as \dfrac{3y}{(y+5)(y+2)}

Now, calculating the sum:

\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}

Taking <em>LCM</em> and solving:

\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}

Hence, answer is \dfrac{5}{y+5}.

4 0
3 years ago
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5 0
3 years ago
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How many perfect squares less than 100 have a tens digit of 6?
Setler79 [48]
Only one, 8^2=64
^^^^^^^^^^
5 0
4 years ago
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