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3 years ago

two angles are conplementary angles. One angle measures 59 the other measures (4n-1) what is the value of n

Mathematics

1 answer:

natulia [17]3 years ago

8 0

Answer:

n = 8

Step-by-step explanation:

Complementary angles add up to 90°

So,

59° + (4n - 1) = 90°

4n - 1 = 90° - 59° = 31°

4n = 31° + 1° = 32°

4n° = 32°

n = 32 ÷ 4 = 8

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A line passes through (1, 8) and is perpendicular to the graph of y = 2x+1. What equation

Genrish500 [490]

Answer:

y = -1/2x + 17/2

Explanation:

y = 2x + 1 is in slope intercept form

in the equation y = mx+b, m is the slope, and in the equation m =2

the slope of a perpendicular line is the negative reciprocal of the other slope.

slope of perpendicular= -1/m = -1/2

y = -1/2x + b

now find b by substituting in (1,8) into the partial equation

8 = -1/2 + b

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b = 17/2

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3 years ago

If the sin 90° = 1, then the cos 0° = _____. (1 point)

Cloud [144]

sin 90° = 1

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7 0

3 years ago

Read 2 more answers

Select the postulate or theorem that you can use to conclude that the triangles are similar.

insens350 [35]

Answer: SAS similarity postulate

Step-by-step explanation:

According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.

In triangles, QNR and MNP,

$\frac{QN}{MN} = \frac{QM+MN}{MN} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}$

$\frac{NR}{NP} = \frac{NP+NR}{NP} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}$

$\implies \frac{QN}{MN} = \frac{NR}{NP}$

Also,

$\angle QNR\cong \angle MNP$ (Reflexive)

Thus, By SAS similarity postulate,

$\triangle QNR\sim\triangle MNP$

⇒ Option first is correct.

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3 years ago

Consider the following system of equations. -10x2-10y2=-300 5x2+5y2=150 Which statement describes why the system has infinite so

scoundrel [369]

Answer:

The equations represent circles that result in the same graph.

Step-by-step explanation:

we have

$-10x^{2}-10y^{2}=-300$

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This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

and

$5x^{2}+5y^{2}=150$

Divide by 5 both sides

$x^{2}+y^{2}=30$ -----> equation B

This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

equation A and equation B are equal

therefore

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3 years ago

What is the standard form of the equation given the slope of: - 3/5 and y-intercept 5

AlladinOne [14]

Answer:

y= -3/5x+5

Step-by-step explanation:

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3 years ago

two angles are conplementary angles. One angle measures 59 the other measures (4n-1) what is the value of n​

two angles are conplementary angles. One angle measures 59 the other measures (4n-1) what is the value of n