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4 years ago

Please help! With explanation, thanks!

Mathematics

1 answer:

Ber [7]4 years ago

4 0

45.6%, I think

If the angle was 45 degrees, then 50% of the circumference of the ice cream would be inside the cone.
But the real angle is 41. 41 = (41/45) * 45

So if we multiply 45 by 41/45, we get 41. In the same way, if multiply the "50%" by 41/45, we get the percentage of ice cream circumference that is in the cone.

50% * 41/45 = 45.6%

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Find the measure of x in the figure. Write the equation or you will no get full credits

defon

This is Complementary angle

Measure of Complementary angles is 90°

$\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: + \: 40 \degree \: = \: 90 \degree$

$\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: = \: \: 90 \degree \: - \: 40 \degree$

$\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: = \: \: 50 \degree$

$\bf \large{\purple{ \implies}} \rm \:(x) \: = \: \:\frac{ \cancel{50 \degree} \: ^{25 \degree} }{ \cancel{2 \degree}} \\$

$\bf \large{\purple{ \implies}} \rm \:x \: = \: 25 \degree$

3 0

3 years ago

Name the property the equation illustrates.

liubo4ka [24]

This would be the commutative property of multiplication which basically states that a * b = b * a (u can switch the order of the numbers and the answer will be the same)

7 0

4 years ago

-4 1/2 x -3 3/4 Does anyone know how to get the answer to that

taurus [48]

Hello there! Given the equation, we can solve through a series of steps:

1. Convert

In this step, we convert the mixed numbers to make them improper:

2 x 4 + 1 = 9, which means -4 1/2 = -9/2

4 x 3 + 3 = 15, which means -3 3/4 = -15/4

2. Multiply

Now that we have the improper fractions, we can multiply accordingly:

(-9/2 • -15/4) = -135/8

3. Simplify

Since we have our result, we can simplify to a mixed number:

-135/8 = 16 7/8

Your final answer is 16 7/8. Hope this helps!

8 0

2 years ago

40. If l || m, find the measure of each missing angles.

ANTONII [103]

Answer:

∠1 = 93°

∠2 = 35°

∠3 = 52°

∠4 = 35°

∠5 = 93°

∠6 = 128°

∠7 = 52°

∠8 = 128°

∠9 = 52°

∠10 = 93°

∠11 = 87°

∠12 = 93°

Step-by-step explanation:

Here are some things you need to remember:

Supplementary angles are angles that sum up to 180° or they form a straight line.

Corresponding angles are congruent. Corresponding angles are angles that are in the same corner or the same side of the intersection.

Alternating angles are congruent. Alternating angles are angles found on alternate sides of the intersecting line. You have interior alternating angles, so these are alternating angles inside the parallel lines, and you have exterior alternating angles, angles found alternating outside the parallel lines.

Vertical angles are opposite angles made by two lines that intersect. Vertical angles are congruent or they have the same measure.

Attached are examples of each, so you can visualize it yourself.

Let's solve these angles with that in mind (let's show the easier ones first):

∠11 is vertical to the angle that measures 87°

This means that they are congruent. And so we know that

∠11 = 87°

∠10 is supplementary to angle that measures 87°

This means that if we add them up together, we will get 180°.

∠10 + 87° = 180°

Subtract 87° from both sides of the equation:

∠10 + 87° - 87° = 180° - 87°

∠10 = 93°

∠12 is vertical to ∠10

This means that ∠12 = ∠10

∠10 = 93°

∠12 = ∠10

∠12 = 93°

∠1 and ∠10 are corresponding angles.

So this means that they are congruent.

∠1 = ∠10

∠10 = 93°

∠1 = ∠93°

∠1 is vertical to ∠5

This means that they are congruent:

∠1 = ∠5

∠1 = 93°

∠5 = 93°

∠3 is vertical to the angle that measures 52°

This means that they are congruent:

∠3 = 52°

∠3 and ∠7 are corresponding angles.

This means that they are congruent.

∠3 = ∠7

∠3 = 52° by substitution we can say then:

52° = ∠7

∠7 and ∠9 are vertical angles.

This means that they are congruent:

∠7 = ∠9

∠7 = 52°

52° = ∠9

∠9 and ∠6 are supplementary. This means that their sum add up to 180°.

∠6 + ∠9 = 180°

∠9 = 52°

∠6 + 52° = 180°

Subtract both sides by 52°

∠6 + 52° - 52° = 180° - 52°

∠6 = 128°

∠6 and ∠8 are vertical angles:

This meas that they are congruent.

∠6 = ∠8

∠6 = 128°

128° = ∠8

∠3 combined with ∠4 is alternate (interior) to the angle that measures 87°

This means that if we add up ∠3 and ∠4 it will be equal to 87°

∠3 + 4 = 87°

∠3 = 52°

52° + ∠4 = 87°

Subtract 52° from both sides:

52° - 52° + ∠4 = 87° - 52°

∠4 = 35°

∠4 and ∠2 are vertical angles:

This means that they are congruent.

∠4 = ∠2

∠4 = 35°

35° = ∠2

4 0

4 years ago

Find the perimeter of the triangle in units. Round to two decimal places as necessary.

Dimas [21]

Answer:

54.56 units

Step-by-step explanation:

The vertices are:

K(-12,2), L(-7,12), J(3,-10)

Find the sides using distance formula:

KL = $\sqrt{(-7+12)^2+(12-2)^2} = \sqrt{125}$ ≈ 11.18
LJ = $\sqrt{(3+7)^2+(-10-12)^2} = \sqrt{584}$ ≈ 24.17
KJ = $\sqrt{(3+12)^2+(-10-2)^2} = \sqrt{369}$ ≈ 19.21

Find perimeter:

P = KL + LJ + KJ
P = 11.18 + 24.17 + 19.21 = 54.56 units

4 0

3 years ago