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2 years ago

If the m<7 = 115 degrees, find the measure of <2

2 answers:

3 0

If they are complementary angles, then we know that they have a sum of 180°.

∠7=115°
∠7+∠2=180°
plug in the data we know
115+∠2=180
subtract 115 from both sides
65°=∠2

Answer=65°

Eva8 [605]2 years ago

3 0

Answer:

<h2>The measure of $\angle 2$ is 115°.</h2>

Step-by-step explanation:

Now, assuming those angles are supplementary, then

$m\angle 7+ m \angle 2=180\°$

Beacuse, sumplementary angles sum 180\°, due to their position on a straight angle.

We know by given that $m \angle 7 =115\°$ , replacing this value, we have

$115\°+ m\angle 2= 180\°\\m \angle 2=180\° - 115\°\\m \angle 2= 65\°$

Therefore, the measure of $\angle 2$ is 115°.

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Which statement shows how two polynomials 5x − 6 and 6x + 2 demonstrate the closure property when multiplied?

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I dont see any statements. When you multiply the two you get: 30x^2 - 26x -12.

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2 years ago

The two-way frequency table below shows the preferred communication method of employees at a company, based on years of employme

Anna35 [415]

Answer:

The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.

Step-by-step explanation:

The proportion is the number of desired outcomes divided by the number of total outcomes.

The percentage is the proportion multiplied by 100.

In this question:

210 employees with 8 of more year.

Of those, 64 have the email as their preferred method of communication.

64/210 = 0.3048

0.3048*100 = 30.48%

The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.

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2 years ago

Read 2 more answers

PLZ HELP 235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people o

Olin [163]

Answer:

number of girls = 90

Number of boys = 125

Number of adults = 20

Step-by-step explanation:

Total people at the summer camp= 235

Let

number of girls=x

Number of boys = x + 35

Number of adults = x - 70

Total people at the summer camp= number of girls + Number of boys + Number of adults

235 = x + (x+35) + (x - 70)

235 = x + x + 35 + x - 70

235 = 3x - 35

Add 35 to both sides

235 + 35 = 3x

270 = 3x

Divide both sides by 3

x= 270/3

= 90

x = 90

number of girls= x = 90

Number of boys = x + 35

= 90 + 35

= 125

Number of adults = x - 70

= 90 - 70

= 20

Total = 90 + 125 + 20

= 235

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2 years ago

An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results an

kotegsom [21]

Answer:

The mean number of successful surgeries is 1.57.

The variance of the number of successful surgeries is 0.3111.

Step-by-step explanation:

STEP 1

If the tear on the left knee has a rim width of less than 3mm, the probability that the surgery on the left knee will be successful (ls) is 0.90.

That isP(Is)=0.90

The probability that the surgery on the left knee will fail (lf) is 0.10. That isP(V)=0.10

If the tear on the right knee has a rim width of 3-6 mm, the probability that the surgery on the right knee will be successful (rs) is 0.67. That isP(rs)=0.67

The probability that the surgery on the right knee will fail (rf) is 0.33.

That isP(vf)= 0.33

Let the random variable X denote the number of successful surgeries. The range of X is{0,1,2)

Now find the probabilities associated with the possible values of X. The number of successful surgeries is equal to 0 if the surgeries on both knees fail. Since the surgeries are independent, we have:

P(X = 0)=P(lf and rf)

= P()P(rf)

=(0.10)(0.33)

= 0.033

The number of successful surgeries is equal to 1 if the surgery on one knee is successful and the surgery on the other knee fails, that is

P(X =1)= P((ls and rf) or (if and rs))

= P(Is)P(rf)+P(V)P(rs)

= (0.90)(0.33)+(0.10)(0.67)

= 0.364

The number of successful surgeries is equal to 2 if the surgeries on both knees are successful, that is

P(X = 2)=P(ls and rs)

= P(Is) P(rs)

=(0.90)(0.67)

= 0.603

So, the probability mass function of X is the following

X 0 1 2

f(x) 0.033 0.364 0.603

The mean number of successful surgeries is,

E(X)=∑xP(x)

=(0×0.033) +(1×0.364)+(2×0.603)

=1.57

the mean number of successful surgeries is 1.57

The expected value is obtained by taking the summation of the product of each possible value of the random variable X with its corresponding probabilities. Thus, the mean number of successful surgeries is 1.57.

STEP 2

The variance of the number of successful surgeries is,

Var(X)=∑x²P(x)-(E(x²)

=(0×0.033) + (1 × 0.364) +(2 × 0.603) - (1.57)²

= 2.776 -(1.57)²

=0.3111

The variance of the number of successful surgeries is 0.3111.

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2 years ago

In the box, complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent

Vaselesa [24]

Step 1: convert the equation into fhe vertex form

To do you can complete squares:

y = - [x^2 + 4x + 3]

y = - [ (x + 2)^2 - 4 + 3]

y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1

Then the vertex is (-2, 1)

Now you can drasw the vertex

Step 2: Find the roots (zeros)

y = - [ (x + 2)^2 - 1] = 0

(x + 2)^2 - 1 = 0

(x+2)^2 = 1

(x+2) = (+/-) √1

x + 2 = (+/-1)

x = - 2 +/- 1

x = -1 and x = -3

Now you draw the points (-1,0) , (-3,0)

Step 3: find the interception with the y-axis.

That is y value when x = 0

y = - (0)^2 - 4(0) - 3 = -3

Then draw the point (0, -3)

Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.

So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.

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2 years ago