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1 year ago

Name each angle pair

Mathematics

1 answer:

wariber [46]1 year ago

8 0

The angle pairs that we can observe from the figure are

1 and 5
3 and 4

Straight angle pairs, often referred to as linear pairs, are formed when two lines cross, creating two side-by-side angles that sum to 180 degrees. The requirement that the two angles in a straight angle or linear pair be adjacent is crucial. The two angles cannot form a linear pair if they are not side-by-side (share the same side) (even if they add to 180 degrees). Check out the depiction of straight angle/linear pairings in the picture below.

The angle pairs that we can observe from the figure are

1 and 5
3 and 4

As we can see in the following figure that supplementary angles are called angle pairs.

Learn more about angle pairs here-

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given that the ratio of boys to girls in a choir group is 17:23, what is the relative frequency of the number of boys?

marusya05 [52]

Answer:

50 Students

You can find the number of boys and girls by dividing the total, so there are a total of 20 boys and 30 girls in the choir of 50. The ratio 2 boys : 3 girls means we can divide the chorus into groups.

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3 years ago

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Dahasolnce [82]

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2 years ago

the perimeter of a rectangle is 34 units. it’s width is 6.5 units. write the equation to determine the length of the rectangle

zubka84 [21]

Answer:

4 units

Step-by-step explanation:

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Reducing this, 17 = L + 13. Then L = 4 units.

4 0

3 years ago

Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm thick to a hemispherical dome

pogonyaev

The amount of paint is the volume of paint needed.

The amount of paint needed is 0.065312 cubic meters

<h3>How to determine the amount of paint needed</h3>

The volume of a hemisphere is:

$V = \frac 23\pi r^3$

Differentiate the above equation

$V' = 2\pi r^2 r'$

The above equation represents the estimate of the amount of paint needed.

Where:

r represents the radius (r = 52/2 m)
r' represents the thickness (r' = 0.04 cm)

So, we have:

$V' = 2\pi r^2 r'$

$V' = 2 * 3.14 * (52/2\ m)^2 * (0.04cm)$

$V' = 2 * 3.14 * (26\ m)^2 * (0.04cm)$

Express cm as m

$V' = 2 * 3.14 * (26\ m)^2 * (0.0004m)$

$V' = 0.065312 m^3$

Hence, the amount of paint needed is 0.065312 cubic meters

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3 0

2 years ago

Please help me to solve all the questions would appreciate it if its with full working

Degger [83]

∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

<h3>What are the total angles on a straight line?</h3>

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

Recall that in angles in parallel lines:

Corresponding Angles are always congruent,
Alternate Angles are always congruent, and
Interior According always sum up to 180°

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

<h3>What are the solutions to section B?</h3>

Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°

2. The name given to the triangle mentioned above is Obtuse

Triangle. This is because one of the angles exceeds 90°.

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1 year ago