What is 7- (7r+7)= 6r+7

Gnesinka [82]

Answer:

54°

Step-by-step explanation:

Since the radius is not given, i'm going to assume that you are being asked for the measure of Arc FE, which is the angle the arc makes on the circumference when measured from the center of the circle.

Please refer to attached.

We can observe that FG and GE are both radii of the circle, hence they will have the same length. This also means that triangle FGE is an isosceles triangle. Which in turn means that ∠GFE = ∠GEF = 63°.

With this we can find the measure of arc FE

= ∠FGE

= 180° - 63° - 63°

= 54°

Hope this helps!

4 0

2 years ago

Based on the survey results from 300 selected students in the Burbank School District (BSD), the 98% confidence interval used to

Pavlova-9 [17]

Answer:

follows are the solution to this question:

Step-by-step explanation:

Please find the correct question in the attached file:

The formula for calculating the Confidence interval of proportion:

$\to CI=\hat{p} \pm Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to \hat{p}=\frac{\text{lower limit +upper limit}}{2}\\$

$=\frac{0.48+0.60}{2}\\\\=\frac{1.08}{2}\\\\=0.54$

The number of learners with access to working at home on a computer:

$= 0.54 \times 300 \\\\=162$

Lower limit =0.48

upper limit = 0.60

$\to margin \ error = \frac{\text{upper limit - lower limit}}{2}\\$

$=\frac{0.60-0.48}{2}\\\\=\frac{0.12}{2}\\\\= 0.06$

5 0

2 years ago

Salama makes fruit baskets with oranges and bananas.

vovangra [49]

The ratio for problem is:

oranges : bananas = 9 : 6 or oranges : bananas = 6 : 4

Solution:

Given that, Salama makes fruit baskets with oranges and bananas

She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas

Given ratio is:

Ratio of orange to bananas = 3 : 2

They add up to 5 fruits, so some possible values are 5, 10, 15 , 20, 25, etc

But we need a value between 8 and 16 oranges and bananas

So we can choose 15 or 10

Now let us choose 15 and solve

Let the oranges be 3x

Let the bananas be 2x

Therefore,

3x + 2x = 15

5x = 15

x = 3

Thus oranges = 3x = 3(3) = 9

Bananas = 2x = 2(3) = 6

Thus the ratio for problem is:

oranges : bananas = 9 : 6

Similarly solve for 10

3x + 2x = 10

5x = 10

x = 2

Thus oranges = 3x = 3(2) = 6

Bananas = 2x = 2(2) = 4

Thus the ratio for problem is:

oranges : bananas = 6 : 4

8 0

3 years ago

Which proportion can you use to find the value of a?

Ugo [173]

Given:

The given triangle is a similar triangle.

The length of the hypotenuse is 18 units.

The length of the leg is a.

The length of the part of the hypotenuse is 16 units.

We need to determine the proportion used to find the value of a.

Proportion to find the value of a:

We shall find the proportion to determine the value of a using the geometric mean leg rule.

Applying the leg rule, we have;

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

Substituting the values of hypotenuse, leg and part, we get;

$\frac{18}{a}=\frac{a}{16}$

Thus, the proportion used to find the value of a is $\frac{18}{a}=\frac{a}{16}$

Hence, Option D is the correct answer.

6 0

3 years ago

0.75(3.55a - 6b) simplified please

GREYUIT [131]

Answer:

Step-by-step explanation:

2.66a-6b

3 0

3 years ago