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2 years ago

In circle P, what is the measure of AB? AC is a diameter and

Mathematics

2 answers:

aivan3 [116]2 years ago

8 0

Answer:

The measure of AB will be 90°.

Step-by-step explanation:

In the given circle P we have to measure arc AB.

Since AC is a diameter and BP is perpendicular bisector of AC.

∠APB = 90°

Since this is the angle subtended at the center by inscribed arc AB .

Therefore, by definition length of arc AB will be equal to the ∠APB = 90°

The measure of AB will be 90°.

Temka [501]2 years ago

6 0

I believe the measure of AB is 90 degrees, but I may be wrong.

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2. Four less than six times a number is 32. Write and solve an equation.

zhenek [66]

Answer:

6x - 4 = 32. The variable (times a number) is equal to 6.

Step-by-step explanation:

So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.

Four less than 6 times a number: 6x - 4 _ __.

Now we can add the equal sign and the 32: 6x - 4 = 32.

We can now solve. Add 4 to both sides of the equation to cancel out the -4:

6x - 4 = 32

6x = 36

Now we divide 6 into both sides of the equation to single out the x.

6 6

36/6 = 6, so:

x = 6

I hope that this helps.

8 0

2 years ago

Find point P that divides segments AB into a 2:3 ratio.

nasty-shy [4]

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-3,1)\qquad B(3,5)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{2:3}
\\\\\\
\cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-3,1)=2(3,5)\\\\
-------------------------------\\\\
P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)$

$\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -3)+(2\cdot 3)}{2+3}\quad ,\quad \cfrac{(3\cdot 1)+(2\cdot 5)}{2+3}\right)
\\\\\\
P=\left(\cfrac{-9+6}{5}~~,~~\cfrac{3+10}{5} \right)\implies P=\left(-\frac{3}{5}~~,~~\frac{13}{5} \right)$

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3 years ago

Which expression shows the result of applying the distributive property to 9(2+5m) ?

vovikov84 [41]

Answer:

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac

9(2 + 5m) = (9)(2) + (9)(5m) = 18 + 45m

3 0

2 years ago

Put these fractions in order from least to greatest:

rewona [7]

Answer:

1/4, 3/8, 2/3

Step-by-step explanation:

3/8 is more than 25% (1/4) but is less than 66% (2/3) making the order 1/4 3/8 2/3.

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2 years ago

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A square has a side length of 21 + 11s. Select TWO equivalent

Misha Larkins [42]

Answer:

I choose option c hope it helps

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3 years ago