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2 years ago

5

TWO EASY QUESTIONS 8TH GRADE MATH

1 answer:

Sophie [7]2 years ago

3 0

9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.

11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.

Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.

8x + 2 + 9x + 3 = 90

17x + 5 = 90

17x = 85

x = 5

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A radio disc jockey has 7 songs on this up coming hour's playlist: 2 are rock songs, 2 are reggae songs and 3 are country songs.

SVETLANKA909090 [29]

Answer:

Probability that song selected after first selection is rock = 2/7

Probability that song selected from the remaining after second selection is country rock = 1/2

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Total number of songs = 7

After first selection, probability that the song selected is rock = 2/7

After second selection, probability that the song selected from the remaining is a country song = 3/6 = 1/2

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3 years ago

Type the correct answer in the box. Round your answer to the nearest integer.

umka21 [38]

Answer:

m∠ADC = 132°

Step-by-step explanation:

From the figure attached,

By applying sine rule in ΔABD,

$\frac{\text{sin}(\angle ABD)}{\text{AD}}=\frac{\text{sin}(\angle ADB)}{AB}$

$\frac{\text{sin}(120)}{35}=\frac{\text{sin}(\angle ADB)}{30}$

sin(∠ADB) = $\frac{30\text{sin}(120)}{35}$

= 0.74231

m∠ADB = $\text{sin}^{-1}(0.74231)$

= 47.92°

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m∠ADC + m∠ADB = 180° [Linear pair of angles]

m∠ADC + 48° = 180°

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3 years ago

Find the slope of the line that passes through the points (0,-11) and (8,-8).

Korolek [52]

To find the slope of a line, we can use the following formula:

$\displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.

Let these be the following:

$\displaystyle \large{(x_1,y_1) = (0, - 11)} \\ \displaystyle \large{(x_2,y_2) = (8, - 8)}$

Substitute the points in formula:

$\displaystyle \large{m = \frac{ - 8 -( - 11)}{ 8 - 0} }$

Negative multiply negative always come out as positive.

$\displaystyle \large{m = \frac{ - 8 + 11}{ 8 - 0} } \\ \displaystyle \large{m = \frac{ 3}{ 8 } } \\$

Since m stands for slope, we can say that:

$\displaystyle \large \boxed{ \tt{slope = \frac{3}{8} }}$

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2 years ago

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