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4 years ago

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An isosceles triangle with angles b and c having the same measure is shown. Find the measure of each angle whose degree measure

is represented with variables. A= x+ 7y+41,B= 2y+13,C=6x+15

1 answer:

8_murik_8 [283]4 years ago

3 0

A+B+C =180

7x+49+5y=180 ---> 7x+5y=131

7(15) +49+5(15)=180
180=180

(15)+7(15)+41=A
161=A

2(15)+13=B
43=B

B=C
43=C

A=161
B=43
C=43

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A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40

shepuryov [24]

Answer:

B

Step-by-step explanation:

The recommended sample size n for point estimates is:

n = NX / (N + X - 1)

where N is the population size, and X is defined as:

X = Z² p (1 - p) / E²

where Z is the critical value, p is the sample proportion, and E is the margin of error.

Assume a confidence level of level of 95% and a margin of error of 5%.

α = 0.05, Z(α/2) = 1.96

E = 0.05

Of the 40 units tested, 2 had lifespans less than 26 days. So the proportion is:

p = 2/40 = 0.05

Therefore:

X = (1.96)² (0.05) (1 - 0.05) / (0.05)²

X = 73

Given N = 2000:

n = (2000) (73) / (2000 + 73 - 1)

n = 70.45

Rounding, the recommended sample size is 70.

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4 years ago

Read 2 more answers

Kelly lives 2 miles away from school. Harry closer to the school than Kelly. Which could be the distance that harry lives from s

riadik2000 [5.3K]

Answer:

D. 3,461

Step-by-step explanation:

There are 3520 yards in two miles and 3,461 yards is less than 3,520... meaning that he lives closer to the school.

3,461 < 3,520

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3 years ago

The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse ang

siniylev [52]

The sum of angles in any quadrilateral, including trapezoid, is 360⁰.
Because we have <span>an isosceles trapezoid, we have 2 angles with measure 135⁰,
and we have 2 equal acute angles with measure x⁰.
So, we can find value of acute angle,
135*2 +2x =360⁰
270+2x=360
2x=360-270
2x=90
x=45⁰

So, acute angles in trapezoid = 45⁰.
From triangle ABC,
angle ACB =90⁰
angle A=45⁰,
so angle ABC= 180-(90-45)=45⁰
Triangle ABC is isosceles triangle,so |AC| = |CB|= 5 in.

So, longer base AA' = 5+4+5= 14 in

Now, we can find area of trapezoid.
shorter base = 4 in
longer base = 14 in
altitude =h = 5 in
Area of trapezoid =(1/2)(base1+base2)*h
Area of trapezoid = (1/2)(4+14)*5= 9*5=45 in²
Answer is 45 in².</span>

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3 years ago

Simplify sin^2y/sec^2 y−1 to a single trigonometric function

liubo4ka [24]

Answer:

$\frac{ { \sin}^{2} y}{ { \sec}^{2}y - 1 } = { \cos }^{2} y$

Step-by-step explanation:

We know that ${ \tan }^{2} y = { \sec }^{2} y - 1$

Also , ${ \tan}^{2} y = \frac{ { \sin }^{2} y}{ { \cos }^{2}y }$

So ,

$\frac{ { \sin }^{2}y }{ { \sec }^{2}y - 1 } = \frac{ { \sin}^{2} y}{ { \tan }^{2} y} = \frac{ { \sin }^{2}y }{ \frac{ { \sin}^{2} y}{ { \cos}^{2}y } } = { \cos }^{2} y$

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3 years ago

Which of the following shows the graph of the eniquality y>x+3<br><br> PLEASE include image

7nadin3 [17]

in plain and short, to graph an inequality, we first graph its EQUALITY graph, and then we do the shading.

so to graph y > x + 3, we first graph y = x + 3, which is just a line, and then do a true/false check on a point to see which side we shade.

let's hmmm check the point say (0,2), x = 0, y = 2.

y > x + 3

2 > 0 + 3

2 > 3 <--- is that true? is 2 really larger than 3? nope, so is false.

that simply means that the point (0, 2) is on the false area, so that's the area we do NOT shade, so <u>we shade the other side</u>.

y > x + 3, means "y" is greater than or larger than that line, but not equals, larger not equal, meaning the values on the borderline are not included, so the line is a dashed line.

check the picture below.

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3 years ago