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nata0808 [166]
3 years ago
11

AB and BC are tangents to P. what is the value of x? this is really so confusing

Mathematics
1 answer:
Westkost [7]3 years ago
4 0
1. Angle PAB is 90 degrees, as it is formed from the tanget to the circle at A, and the radius drawn to A. 

2. AB=BC, because tangents drawn to a circle from the same point are equal.

3. PB is Common, so by the side-side-side congruence postulate, triangles ABP and CBP are congruent. 

4. So measure of m(BPA)=x/2 and m(ABP)=73/2.

5. \frac{x}{2}+90+ \frac{73}{2}=180

\frac{x+73}{2}=90

x+73=180, x= 107 degrees.

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Q Searchmatics Gr 7)I need 4 cups of flours and 2 cups of sugar to make a cake. How many cups of sugar do I need if Ihave 12 cup
Ede4ka [16]

You will need 6 cups of sugar.

Step - by - Step Explanation

What to find? <em>The number of cups of sugar needed to make a cake with 12 cups of flour.</em>

<em />

Given:

Cups of flours = 4

Cups of sugar = 2

Cups of flour =12

Let x be the number of cups of sugar needed to make a cake with 12 cups of flour.

Using proportion;

4 cups of flour = 2 cups of sugar

12 cups of flour = x

Cross - multiply

4x = 24

Divide both-side of the equation by 4

\frac{\cancel{4}x}{\cancel{4}}=\frac{24}{4}

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6 0
1 year ago
Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls.
max2010maxim [7]
<h3>Trina uses 3.44 or \frac{ 17.2}{5} pints of white paint</h3>

<em><u>Solution:</u></em>

Given that,

Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls

3/5 of the amount is blue paint, and the rest is white paint

From given,

3/5 of 8.6 pints is blue paint

Remaining = 1 - \frac{3}{5}\\\\Remaining = \frac{2}{5}

Thus, 2/5 of 8.6 pints is white paint

<em><u>How many pints of white paint did she use to paint her bedroom walls? </u></em>

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5 0
3 years ago
Dylan scores a total of 48 points in his first games of the basketball season. Which equation can be used to find g, the average
Anarel [89]

Answer: 48÷4 = g

Step-by-step explanation:

Here is the complete question:

Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?

a. 48÷4=g

b. 4÷48=g

c. g÷4=g

d. 4÷g=48

The average number of points Dylan scores per game which has been represented by g will be the total points scored divided by the number of game played. This will be:

g = total point scored ÷ number of games played

g = 48 ÷ 4

Therefore, option A is the right answer.

5 0
3 years ago
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