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satela [25.4K]
3 years ago
14

⎯ is drawn, and its perpendicular bisector, line m, is constructed. Point is on line m but not on ⎯⎯. Label the intersection of

⎯ and line m as . Which of the following statements are true? Select all that apply.
A. Reflecting point across line m matches point with point .
B. =
C. ∠=∠
D. Reflecting ⎯⎯ across line m shows that = .
E. △ is the translation image of △ .

SELECT ALL THAT APPLY

Mathematics
1 answer:
Hoochie [10]3 years ago
4 0

Answer:

the answer is A and D

Step-by-step explanation:

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If in a sample of 355 adult males, we have a mean total cholesterol level of 185 mg, with s = 16. What is the 95% confidence int
sladkih [1.3K]

Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean total cholesterol level of all males.

Number of sample, n = 355

Mean, u = 185 mg

Standard deviation, s = 16

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

185 +/- 1.96 × 16/√355

= 185 +/- 1.96 × 0.849

= 185 +/- 1.66404

The lower end of the confidence interval is 185 - 1.66404 =183.336

The upper end of the confidence interval is 185 + 1.66404 = 186.66

Therefore, with 95% confidence interval, the mean total cholesterol level of all males is between 183.336 mg and 186.66 mg

5 0
4 years ago
Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-interc
Oksi-84 [34.3K]

The point slope form of the line has the following form:

y – y1 = m (x – x1)

 

The slope m can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

m = (3 - 0) / (0 – 4) = - ¾

 

So the whole equation is:

y – 0 = - ¾ (x – 4)

y = - ¾ (x – 4) or

<span>y = - 0.75 (x – 4)</span>

7 0
3 years ago
If k-9=5(k-3)find k​
jok3333 [9.3K]

Answer:

K = 3/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

k−9=5(k−3)

k+−9=(5)(k)+(5)(−3)(Distribute)

k+−9=5k+−15

k−9=5k−15

Step 2: Subtract 5k from both sides.

k−9−5k=5k−15−5k

−4k−9=−15

Step 3: Add 9 to both sides.

−4k−9+9=−15+9

−4k=−6

Step 4: Divide both sides by -4.

-4k/-4 = -6/-4

K = 3/2

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4 years ago
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6. a + 14
7. 10x
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3 years ago
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If u = (1,3) and v=(2,6) find u + v
Alchen [17]

Answer:

Third option <3, 9>

Step-by-step explanation:

u and v are two vectors and we know the Cartesian components of these vectors.

We must find the sum of u + v.

If we have the Cartesian components of both vectors then the sum of both is done by adding the components of u with the components of v.

u = \\v =

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Where i is the vertical component and j is the horizontal component

Then u + v is

u + v = (3) i + (9) j

u+v =

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