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miv72 [106K]
3 years ago
15

Work out the size of angle x

Mathematics
2 answers:
brilliants [131]3 years ago
7 0
Answer

x = 121°

Explanation

Angle bottom left corner.

Since the triangle touches a horizontal plane, we know the 2 angles have to add up to 180 degrees.

115 + x = 180

x = 180-115 = 65°

Angle at the top

We know a full circle is 360 degrees.

Let’s say the triangle angle is x

x + 304 = 360

360 - 304 = 56°

Angle of triangle at the bottom right.

We know angles of a triangle add up to 180°.

Since we just calculated the 2 other triangles:

56° + 65° + x = 180

180 - 56 - 65 = 59°

As the triangle sits on a horizontal plane, the angle marked x in the picture + the interior angle have to add to 180.

59° + x = 180

x = 180 - 59 = 121°
alisha [4.7K]3 years ago
6 0

Answer:

hope its helpful........

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He invested "a" at 3% and "b" at 5%

now, he invested 100 more in "b", so, whatever "a" may be, b = a + 100

now, how much is the interest yield of each? well
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and 5% of b? well (5/100) * b, or 0.05b

now, we know the total yield was 53 bucks, thus 0.03a + 0.05b = 53

thus    \bf \begin{cases}
\boxed{b}=a+100\\
0.03a+0.05b=53\\
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0.03a+0.05\left( \boxed{a+100} \right)=53
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3 0
3 years ago
Factor completely 3x2 − x − 4.
bezimeni [28]
<span>Factor completely: 3x2 − x − 4

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Solve the following system using substitution. Remember to record your answer as (x, y).
natta225 [31]

Answer:

You already have what you are going to substitute, just put the y values from the first equation into the second! Like this:

6x - 5(-2x - 9) = -19

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Add like terms + simplify:

16x + 45 = -19

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x = -4

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4 0
3 years ago
If the following data were linearized using logarithms, what would be the equation of the regression line? Round the slope and y
Elis [28]

Answer:

  • log y = 0.576x + 0.139

Step-by-step explanation:

<u>Given data:</u>

  • <u>x  |  2   |   3   |  4    |   5      |  6     </u>
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<u>Logarithms of y-values:</u>

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<u>The ordered pairs:</u>

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<u>Using an online calculator found the equation of the regression line:</u>

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<u>In our case it is:</u>

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7 0
3 years ago
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