All categories

3 years ago

Please help!

Mathematics

2 answers:

natulia [17]3 years ago

7 0

Answer: Option D.

Step-by-step explanation:

To solve this exercise you must keep on mind the Angle at the Center Theorem.

According to the Angle at the Center Theorem, an inscribed angle is half of the central angle.

Therefore, given in the inscribed angle m∠BAC=35°, you can calculate the central angle m∠EFD as following:

$BAC=\frac{EFD}{2}$

- Solve for EFD.

$EFD=2*BAC$

- When you substitute values. you obtain:

$EFD=2(35\°)\\EFD=70\°$

Neporo4naja [7]3 years ago

7 0

Answer:

Option B. ∠EFD = 35°

Step-by-step explanation:

In a circle F, it has been given mED = mDB = mBC

We have to find the measure of ∠EFD

We should always remember the inscribed angle theorem which states that the measure of an inscribed angle is always half the measure of intercepted arc.

m(arc BC) = 2×∠CAB = 2×35 = 70°

Now it has been given in the question

mED = mBC

Therefore m(arc ED) = 70°

Again applying the same theorem

m(arc ED) = 2×∠EFD

70° = 2×∠EFD

m∠EFD = $\frac{70}{2}=35$

Option B. 35° is the answer.

You might be interested in

Help please<br>a)m=2<br>b)m=3/2<br>c)m=4/3<br>d) m=-2

Neko [114]

Answer:

Step-by-step explanation:

The coordinates are (0,2) and (2,5).

Use (y2-y1)/(x2-x1).

(5-2)/(2-0).

5-2=3, 2-0=2.

3/2

4 0

4 years ago

X^2 + y^2 = 13,

Marysya12 [62]

Answer:

A, B, C and D. are solutions.

Step-by-step explanation:

x^2 + y^2 = 13

x^2 - y^2 = 5

Check which roots fit the original equations:

If x = 3, A gives

9 + y^2 = 13 giving y = +/- √4 = 2 or -2.

Now plug in x = 3 and y = 2 in the second equation:

9 - (2)^2 = 5

Therefore (3,2) is a solution of the 2 equations.

Following the same procedure for B, C and D:

B. Substituting x = 3 and x = -2 fits both equations so (3, -2) is a solution.

The same is true for C and D.

3 0

3 years ago

Find the slope of the line satisfying the given condition. Through (3,-6) and (-9,-1)

inessss [21]

Answer:

C) -5/12

Step-by-step explanation:

To find the slope of a line with given points, you divide the difference of y-coordinates by the difference of the x-coordinates of those same 2 points.

x's:-9-3=-12

y's:-1-(-6)=5

Then, you put the answer of the y's in the numerator, and x's in the denominator, giving you 5/-12, but you can't have a negative in the denominator, moving it up to become -5/12 as the slope.

6 0

3 years ago

QUESTION (A):An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. Chapter Reference b How much alloy can be produce

melomori [17]

Answer To Question (A)
4.9 lb of zinc produce 8:5:7

Answer To Question (B)
You'll need 1.7 pounds of zinc and copper in a ratio of 2:7:9.

Hope That Helps ;)

5 0

4 years ago

A bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 200 and a standard deviat

VMariaS [17]

The probability is 0.4332.

We want to find the z-scores associated with the ends of the ranges. The z-score for 200 would be 0, since it is 0 away from the mean. To find the z-score of 275 we use the formula:

$z=\frac{X-\mu}{\sigma}
\\
\\z=\frac{275-200}{50}=\frac{75}{50}=1.5$

Using a z-table (http://www.z-table.com) we can find the area under the curve to the left of 1.5 (everything less than that, so every score less than 275). This is 0.9338. However, we only want the range from the mean, 200, up to this point. This means we subtract the area to the left of 200, 0.5 (half of the data goes from the mean left), from this:

0.9338-0.5=0.4338.

6 0

4 years ago