Plz help there is another option in question Q1

Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle

GREYUIT [131]

If $u$ and $v$ are <span>supplementary angles, then

$u+v=180^{\circ}~~~~~\mathbf{(i)}$

The ratio of $u$ and $v$ is $\dfrac{7}{13}:$ <span>

$\dfrac{u}{v}=\dfrac{7}{13}\\\\\\ u=\dfrac{7v}{13}~~~~\mathbf{(ii)}$

Substitute $\mathbf{(ii)}$ into $\mathbf{(i)}:$

$\dfrac{7v}{13}+v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+1 \right )\cdot v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+\dfrac{13}{13} \right )\cdot v=180^{\circ}\\\\\\ \dfrac{20}{13}\cdot v=180^{\circ}\\\\\\ v=180^{\circ}\cdot \dfrac{13}{20}\\\\\\ \boxed{\begin{array}{c} v=117^{\circ} \end{array}}$

From $\mathbf{(i)},$ we find the measure of $u:$

$u=180^{\circ}-v\\\\ u=180^{\circ}-117^{\circ}\\\\ \boxed{\begin{array}{c} u=63^{\circ} \end{array}}$

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7 0

3 years ago

A meteorologist reports that there is a 30% chance the temperature will fall below freezing tomorrow. On any given day, the bus

sladkih [1.3K]

<h3>Answer: 18%</h3>

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Explanation:

Convert each percentage to decimal form

30% converts to 0.30
60% converts to 0.60

Then multiply the decimal values

0.30*0.60 = 0.18

That converts to 18%

So there's an 18% chance that both events happen at the same time. In other words, there's an 18% chance of the temperature falling below zero and the bus being late.

4 0

2 years ago

Plot the x- and y-intercepts of function f(x)=x

katrin2010 [14]

Because f(x)=x, goes through origin. So x and y -intercept are one point (0,0).

5 0

2 years ago

Read 2 more answers

Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. There are 2 sizes, 4 colors, 7

grandymaker [24]

Answer:

Step-by-step explanation:

beruusdjkbajkdbhksabfbhkfhasfkA cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?vvA cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?

5 0

2 years ago

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Two numbers rolled can be added to get a sum. Find P(sum is even.)

azamat

When you roll two numbers you have four kinds of outcomes: EE, EO, OE, OO (where E = even, O = odd).

You get an even sum only if you sum two numbers that are both even or both odd, therefore the outcomes wanted are two: EE and OO.

Therefore:
P(sum is even) = 2 / 4 = 0.5

Hence, there is a 50% probability that, when you roll two numbers, their sum will be even.

6 0

2 years ago