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3 years ago

∠A and ∠B are vertical angles with m∠A=x and m∠B=4x−30 . What is m∠A ? Enter your answer in the box.

2 answers:

3 0

First off, if they’re vertical angles, they have to be congruent. So set the equation up as x=4x-30. Then solve and get the answer of x=10. Therefore your angle measure is 10 degrees

Tomtit [17]3 years ago

3 0

Answer:

$x = 4x -30$

We can solve for x subtracting x on both sides:

$x-x= 4x-x-30$

And then we can add 30 in both sides:

$30= 3x$

And dividing both sides by 3 we got:

$x = 10$

Step-by-step explanation:

For this case we know the measure of two angles:

$m$

And we know that both angles are vertical and by definition vertical angles are the angles opposite each other when two lines cross.

For this case since both angles are vertical we have the property that:

$m$

And replacing what we got we have:

$x = 4x -30$

We can solve for x subtracting x on both sides:

$x-x= 4x-x-30$

And then we can add 30 in both sides:

$30= 3x$

And dividing both sides by 3 we got:

$x = 10$

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2 years ago

Lori buys a $400 certificate deposit that earns 1.8% interest compounded monthly how much will a cd be worth in six years

Firlakuza [10]

Answer:

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Step-by-step explanation:

The formula to use would be:

$F=P(1+r)^t$

Where

F is the future amount (what we want to find)

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r is the rate of interest, monthly (1.8% or 0.018)

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3 years ago

PLEASE HELPPPPPPPPP!!!!?????

natta225 [31]

Answers:

Mean = 69
Median = 69
Mode = {68, 70}

===============================================

Explanations:

To get the mean, you add up all of the values and then you divide by N, where N is the number of values in the list. In this case, you'll divide by N = 8.

Adding up all the values gets you 70+68+70+72+68+66+65+73 = 552. Dividing that over 8 then leads to the arithmetic mean of 552/8 = 69

-------

To find the median, you'll first sort the values from smallest to largest. You should have this set {65, 66, 68, 68, 70, 70, 72, 73} after sorting. Next, cross off the smallest and largest values to end up with this smaller set {66, 68, 68, 70, 70, 72}. We do this so we can locate the middle-most item.

Repeat the process of crossing off the smallest and largest items to get {68, 68, 70, 70}. Do so one more time and we get {68,70}.

The midpoint of those two values is (68+70)/2 = 138/2 = 69. The median is 69. The mean and median may not always be the same value.

--------

The mode is the most frequent value. In this case, we have 68 and 70 show up exactly twice for each unique value. This is the most compared to the other unique values that only show up exactly once.

It is possible to have more than one mode, as long those values are more frequent than the rest. We denote the mode as a set, so the mode is {68, 70}

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

∠A and ​ ∠B ​ are vertical angles with m∠A=x and m∠B=4x−30 . What is m∠A ? Enter your answer in the box.

∠A and ∠B are vertical angles with m∠A=x and m∠B=4x−30 . What is m∠A ? Enter your answer in the box.