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11 months ago

What is the measure of m<1 will ensure that the rail is parallel to the bottom of the staircase?

Mathematics

1 answer:

cricket20 [7]11 months ago

6 0

You can observe that angle 1 and angle with 47° are inside a parallelogram.

Consider that the sum of the internal angles of a parallelogram is 360°.

Moreover, consider that the angle at the top right of the parallogram is congruent with the angle of 47°, then, such an angle is if 47°.

Consider that angle down right side is congruent with angle 1, then, they have the same measure.

You can write the previous situation in the following equation:

47 + 47 + ∠1 + ∠1 = 360 simplify like terms

94 + 2∠1 = 360 subtract both sides by 94

2∠1 = 360 - 94

2∠1 = 266 divide by 2 both sides

∠1 = 266/2

∠1 = 133

Hence, the measure of angle 1 is m∠1 = 133°

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Please please please helpppp, (please show work if you can)

____ [38]

Answer:

∴ m∠KIJ = 18° and m∠HIJ = 50°

Thus, option a is correct.

Step-by-step explanation:

From the figure, it is clear that:

m∠KIH = m∠HIJ + m∠KIJ

Given

m∠KIH = 68°

m∠KIJ = (2x + 6)°

m∠HIJ = (9x - 4)°

now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation

m∠KIH = m∠HIJ + m∠KIJ

68° = (2x + 6)° + (9x - 4)°

switch sides

$\left(2x+6\right)+\left(9x-4\right)=68$

Group like terms

$2x+9x+6-4=68$

$11x+2=68$

Subtract 2 from both sides

$11x+2-2=68-2$

Simplify

$11x=66$

Divide both sides by 11

$\frac{11x}{11}=\frac{66}{11}$

Simplify

$x=6$

Hence, the value of x = 6

Therefore,

m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°

m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°

∴ m∠KIJ = 18° and m∠HIJ = 50°

Thus, option a is correct.

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2 years ago

Which expression is equivalent -21.8-(-18.3)

navik [9.2K]

<span> -21.8-(-18.3) (2 negative signs become positive)
=</span><span> -21.8 + 18.3
= - 3.5

Answer
- 3.5</span>

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2 years ago

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Can someone help me with credit recovery

Sindrei [870]

Answer:

Credit recovery is a term used to describe a wide variety of educational strategies and programs that give high school students who have failed a class the opportunity to redo coursework or retake a course through alternate means—and thereby avoid failure and earn academic credit.

Step-by-step explanation:

I'm not sure if this help but if it does good luck with it.

7 0

2 years ago

Ramona is a saleswoman whose base plus commissions amounted to $52,561 last year. If her base pay was $23,960 and she made $77,3

Ksju [112]

Answer:

37%

Step-by-step explanation:

If Ramona received an overall pay of $52,561 last year, $23,960 of which was base pay, we can first subtract these two numbers to find the amount she made from her sales commission:

$52,561 - $23,960 = $28,601

In order to find her percent commission, we can set up a proportion:

$\frac{p}{100}=\frac{28,601}{77,300}$ , where 'p' is her rate of commission