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2 years ago

One angle of a parallelogram measures 45°. What are the measures of the other three angles

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

8 0

Answer: 135, 45, and 135 are the three other angles

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Explanation:

For a parallelogram, we'll have opposite angles with the same measure. So if one angle is 45 degrees, then the opposite angle is also 45 degrees. The other two angles are 180-45 = 135 degrees each. Adjacent angles in a parallelogram add to 180 degrees.

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2 years ago

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In the solution of the equation 5 + 3x = -2x + 9, 2 x is added to the equation first. which of the following should be done next

wariber [46]

Hi!

<h3>Let's do the first step (add 2x). </h3>

5 + 3x + 2x = -2x + 2x + 9

<h3>Our goal is to isolate x on one side, so the next step would be to subtract 5 (or add -5).</h3>

5 + -5 + 5x = 9 + -5

<h2>The answer is B. add -5</h2><h3><em>And if you want to finish solving, you would divide by 5 on both sides.</em></h3>

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2 years ago

Find two unit vectors orthogonal to a=⟨2,−2,−3⟩a=⟨2,−2,−3⟩ and b=⟨3,2,2⟩b=⟨3,2,2⟩ enter your answer so that the first non-zero c

Ronch [10]

We need the cross product of the two vectors.
a x b
=<2,-2,-3> x <3,2,2>
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i j k
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3 years ago

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for adm

IgorC [24]

Answer:

16.7% of GMAT scores are 647 or higher

Step-by-step explanation:

The Empirical Rule states that 68% of the values are within 1 standard deviation of the mean(34% above, 34% below). It also considers that 50% of the values are above the mean and 50% are below the mean.

In this problem, we have that the mean $\mu$ is 547 and that the standard deviation $\sigma$ is 100.

a. What percentage of GMAT scores are 647 or higher?

647 is 1 standard deviation above the mean.

So, 50% of the values are below the mean. Those scores are lower than 647.

Also, there is the 34% of the values that are above the mean and are lower than 647.

So, there is a 50% + 34% = 84% percentage of GMAT scores that are 647 or lower.

The sum of the probabilities must be 100

So, the percentage of GMAT scores that are 647 or higher is 100% - 84% = 16%.

3 0

2 years ago

In circle A below, chord BC and diameter DAE intersect at F. If arc CD = 46° and arc BE = 78°, what is m_BFE? D B А

wel

Given:

Consider the below figure attached with this question.

In circle A below, chord BC and diameter DAE intersect at F.

The arc CD = 46° and arc BE = 78°.

To find:

The measure of angle BFE.

Solution:

According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.

Using intersecting chords theorem, we get

$m\angle BFE=\dfrac{1}{2}(m(arcCD)+m(arcBE))$

$m\angle BFE=\dfrac{1}{2}(46^\circ+78^\circ)$

$m\angle BFE=\dfrac{1}{2}(124^\circ)$

$m\angle BFE=62^\circ$

Therefore, the measure of angle BFE is 62°.

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2 years ago