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3 years ago

Fill in the blank with the correct response. Given ∠1=∠2, find x.

Mathematics

1 answer:

dexar [7]3 years ago

6 0

Answer:

x = 6

Step-by-step explanation:

Since, ∠1 ≅ ∠2

By angle bisector theorem,

$\frac{AB}{BD}=\frac{AC}{CD}$

By substituting the measures of each side in the given ratio of the sides,

$\frac{3}{x-4}=\frac{x}{4}$

12 = x(x - 4)

12 = x² - 4x

x² - 4x - 12 = 0

x² - 6x + 2x - 12 = 0

x( x - 6) + 2(x - 6) = 0

(x + 2)(x - 6) = 0

x = -2, 6

Since, measure of the sides can't be negative, x can not be negative.

Therefore, x = 6 will be the answer.

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a quiche with a diameter of 12 inches can feed 6 people. can a quiche with a diameter of 10 inches feed 4 people, assuming the s

Andrew [12]

This is an area problem where the area of a circle is pi*r^2.

A quiche with a diameter of 12 has an area of pi*6^2 = 36pi

So if it can feed 6 people, then the serving size per person is 6pi per person.

A quiche with a diameter of 10 inches has an area of pi*5^2 = 25pi

If each person requires 6pi worth of quiche, then 25pi/6pi = 4 1/6 people.

So yes, it can serve 4 people.

7 0

3 years ago

Find the distance to the nearest tenth,between S(6,5) and T(-3,-4)

Doss [256]

Answer:

<h3>The answer is 12.7 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(6,5) and T(-3,-4)

The distance between them is

$|ST| = \sqrt{ ({6 + 3})^{2} + ({5 + 4})^{2} } \\ = \sqrt{ {9}^{2} + {9}^{2} } \\ = \sqrt{81 + 81} \\ = \sqrt{162} \\ = 9 \sqrt{2} \: \: \\ = 12.7279...$

We have the final answer as

<h3>12.7 units to the nearest tenth</h3>

Hope this helps you

6 0

3 years ago

A soccer player has made 3 of her last 10 field goals, which is a field goal percentage of 30%. How many more consecutive field

Monica [59]

Answer:

4 consecutive goals

Step-by-step explanation:

If 3 of last 10 field goals = 30%

Which is equivalent to

(Number of goals scored / total games played) * 100%

(3 / 10) * 100% = 30%

Number of consecutive goals one has to score to raise field goal to 50% will be:

Let y = number of consecutive goals

[(3+y) / (10+y)] * 100% = 50%

[(3+y) / (10+y)] * 100/100 = 50/100

[(3+y) / (10+y)] * 1 = 0.5

(3+y) / (10+y) = 0.5

3+y = 0.5(10 + y)

3+y = 5 + 0.5y

y - 0.5y = 5 - 3

0.5y = 2

y = 2 / 0.5

y = 4

Therefore, number of consecutive goals needed to raise field goal to 50% = 4

5 0

3 years ago

Please help im doing a test and it’s due soon

swat32

Answer:

the answer is D.

Step-by-step explanation:

.............

7 0

3 years ago

-1/2 (b + 2) + 36?

guajiro [1.7K]

Answer:

-b/2+35

Step-by-step explanation:

Hope I helped :)

4 0

3 years ago

Read 2 more answers