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Gnom [1K]
3 years ago
9

Some one help me ASAP

Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

The measure of the angle ABD is:

m∠ABD = 122°

Step-by-step explanation:

Given

m∠ABC = 84°

m∠CBD = 38°

To determine

Find m∠ABD

The given diagram shows that m∠ABD is the sum of m∠ABC and m∠CBD.

In other words,

m∠ABD = m∠ABC + m∠CBD

substituting m∠ABC = 84° and m∠CBD = 38°

m∠ABD = 84° + 38°

m∠ABD = 122°

Therefore, the measure of the angle ABD is:

m∠ABD = 122°

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(-5a+6)(-4a+3) <br><br> Cannot be a fraction
torisob [31]

Hey there!

To solve this problem, we will take a look at the FOIL Method.

<h3>What is "FOIL"?</h3>

FOIL is a simple acronym that can be used to multiply binomials. It stands for:

F - Front

O - Outer

I - Inner

L - Last

See the image below for an example of how to use this in the given situation.

<h3>Apply</h3>

Front: <em>Multiply the two terms out in the front.</em>

(-5a)(-4a) = 20a^2

Outer: <em>Multiply the two terms on the outsides.</em>

(-5a)(3)=-15a

Inner: <em>Multiply the two terms on the insides.</em>

(6)(-4a)=-24a

Last: <em>Multiply the two terms in the back.</em>

(6)(3)=18

<h3>Add</h3>

Now, we add all of our answers from above:

20a^2-15a-24a+18

<h3>Simplify</h3>

Simplify by combining like terms:

20a^2-39a+18

There's our answer!

For a similar problem, see:

brainly.com/question/27980306

5 0
2 years ago
Https://www.usatestprep.com/modules/gallery/files/9/949/949.jpg
timurjin [86]

Given system of inequalities: y > 2/5(x) - 2 and y < -3x + 1.

We are given greater than (>) inequality symbol in first inequality.

For "only  greater than inequality symbol" we would draw only a "dotted line".

Also in second inequality we have less than (<) inequality symbol.

For "only  greater than inequality symbol" we would draw only a "dotted line".

In the shared graph, both the lines plotted are solid lines.

Therefore, correct option is B) The lines graphed should be dashed.

7 0
4 years ago
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The propeller blades on a submarine have a radius of 6 feet. At full speed, they turn at 120 revolutions per minute. What is the
bogdanovich [222]

Using proportions, it is found that the angular velocity at the tip of the blade is of 753.98 radians per minute.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Each revolution has 2\pi radians, hence in one minute, the 120 revolutions will have a measure in radians of:

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More can be learned about proportions at brainly.com/question/24372153

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8 0
2 years ago
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DerKrebs [107]

Answer: a is the # of elements in A but NOT B, that is A ONLY

b is the # of elements in B but NOT A, that is B only

N is the # of elements in the INTERSECTION of A and B

a + N = 99

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Subtracting the first two equations: a - b = 74

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a = 98

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98 - b = 74

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98 + 24 + N = 123

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N = 1

98 are in A only

24 are in B only , which is the answer to the question

1 is in both A and B

Step-by-step explanation:

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