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3 years ago

In circle C, what is the value of X?

Mathematics

2 answers:

solong [7]3 years ago

7 0

The answer should be 112 degrees

Sergeeva-Olga [200]3 years ago

5 0

Answer:

x=22 degrees

Step-by-step explanation:

We are given a circle C

Centre is at C

A line passes through the centre makes angle x and 68 on either side

A triangle is formed with angles x, 68 and another angle at the circumference.

Since the line passing through the centre is diameter of the circle, we have

the third angle of the triangle = 90 degrees ( BY semi circle angle theorem)

In the triangle sum of three angles

=90+x+68 =180

x =22 degrees

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Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie.

miv72 [106K]

Answer:

2/3 cup of pineapple juice for 1/3 cup of orange juice to make 1 smoothie

Let the no. Of smoothies be x

x/3 = 111

x = 333 smoothies

Cups of pineapple juice = 222

Hope this helps!

6 0

2 years ago

Read 2 more answers

Which is equivalent to 80^1/4?

den301095 [7]

$80^{\frac{1}{4}} = \sqrt[4]{80} = \sqrt[4]{2*2*2*2*5} = 4 \sqrt[4]{5}$

3 0

3 years ago

The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than

svlad2 [7]

The shop sold 36 sundaes and 28 banana spilts

Solution:

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

Also, given that they made $ 156

Therefore, we frame a equation as:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

$a \times 2+b \times 3 = 156$

2a + 3b = 156 ---------- eqn 2

Substitute eqn 1 into eqn 2

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

Substitute b = 28 in eqn 1

a = 8 + 28

Thus the shop sold 36 sundaes and 28 banana spilts

4 0

3 years ago

What is the GCF of 6 and 36

Tresset [83]

Answer:

It's 6.

Step-by-step explanation:

6- 1, 2, 3, 6

36- 1, 2, 3, 4, 6

5 0

2 years ago

What is the equation for a line passing through (-2,3) and perpendicular to y= -1/2+1 ?

nata0808 [166]

Answer:

$y=2x+7$

Step-by-step explanation:

The correct question is

what is the equation for a line passing through (-2,3) and perpendicular to y= -1/2x+1 ?

Remember

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)

The slope of the given line is m=-1/2

the opposite reciprocal is m=2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=2\\point\ (-2,3)$

substitute

$y-3=2(x+2)$

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-3=2x+4$

$y=2x+4+3$

$y=2x+7$

3 0

2 years ago