Answer: 155°
because ∠a and ∠c are 2 opposing angles => m∠a = m∠c = 155°
Step-by-step explanation:
If Hannah gives her younger sister 3 shirts, it does not matter what order she hands them to her. No matter the order, it will still be the same group of 3 shirt. Since order is not important this problem can be solved using a combination.
Specifically we are asked to find 8C3 (sometimes called "8 choose 3"). This is a fraction. In the numerator we start with 8 and count down 3 numbers. In the denominator we start with 3 and count all the way down to 1. Thus we obtain,
Answer:
$33.81
Step-by-step explanation:
Strawberries = $2.49 Per Pound (Bought 3)
Blueberries = $3.19 Per Pound (Bought 2)
Pineapples = $4.99 Per Pound (Bought 4)
So we have to multiply each price with the number of fruits bought.
So, For Example, Strawberries: <em>$</em><em>2</em><em>.</em><em>4</em><em>9</em><em> </em><em>×</em><em> </em><em>3</em><em> </em><em>=</em><em> </em><em>$</em><em>7</em><em>.</em><em>4</em><em>7</em>
After you did all three individually, add them all up.
Strawberries : <em>$</em><em>7</em><em>.</em><em>4</em><em>7</em>
Blueberries : <em>$</em><em>6</em><em>.</em><em>3</em><em>8</em>
Pineapple : <em>$</em><em>1</em><em>9</em><em>.</em><em>9</em><em>6</em>
<em>Total</em><em> </em><em>=</em><em> </em><em>$</em><em>3</em><em>3</em><em>.</em><em>8</em><em>1</em>
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<em>Hope</em><em> </em><em>This</em><em> </em><em>Helps</em><em>!</em></h2>
Answer:
m∠N = 32°
NQ = 106°
When finding inscribed angles like ∠N with the intercepted arc, the equation is ∠N=1/2MP. (Inscribed angles are always half the degree of the arc length.) Plug in the corresponding value to get ∠N=1/2(64) to get 32°. When finding the angle of the intercepted arc with inscribed angles like NQ, the equation is NQ=2(∠P). Plug in the corresponding value to get 2(53) to get 106°.
-5x - 5 = 3x + 19
---Move the x's to one side
-5x - 3x - 5 = 3x - 3x + 19
-8x - 5 = 19
---Isolate the -8x by removing the -5 from the left side
-8x - 5 + 5 = 19 + 5
-8x = 24
---Divide both sides by -8 to get x by itself
x = -3
Hope this helps!