The least. Common multiple for 8 19 and 23

What is the angle of c (∠c) Help immensely I will give brainliest

jeka57 [31]

Answer:

The measure of ∠c is 50°.

Step-by-step explanation:

When it comes to problems like these, there are two types of angles that should be kept in mind: complementary angles and supplementary angles.

Complementary angles are angles that add up to 90° (a right angle). Supplementary angles are angles that add up 180° degrees (a straight angle). A good way to recall this information in layman's terms is to remember this: complements are always right.

So now let's apply what we've learned to the problem. We have a straight angle that is composed of two 65° angles and an unknown C angle. We know that when angles add up to 180°, they're supplementary angles.

If we interpret our problem in algebriac form, we can say that:

65° + 65° + m∠C = 180°

Now we just solve this problem like any other algebriac equation. First, you can combine like terms.

130° + m∠C = 180°

Then, subtract 130° on both sides to isolate our variable.

m∠C = 50°

Now we can safely say that the measure of angle C is 50°.

3 0

3 years ago

Please help me with this! worth 50 points! I need you to write it for me....

suter [353]

yes because 6 x 2.49=14.49 and that's less than 20 so you'll have a little over 5 dollars to spare.

3 0

4 years ago

Use substitution to solve the system. 2x-8=y 5x-3y=19

Dmitriy789 [7]

X=0.5y+4;
5(0.5y+4) -3y =19;
Y=2, x=5

7 0

4 years ago

The months of the year are written on cards and dropped into a box. Remington selects a card without looking. What is the probab

sergeinik [125]

There are two months that begin with the letter M (March, May)
So the probability is 2/12 = 1/6 ≈ 0.17 rounded to the nearest hundredth.
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Hope this helps!

3 0

3 years ago

Read 2 more answers

The figure shows a person estimating the height of a tree by looking at the

FrozenT [24]

Answer:

The proportion that can be used to estimate the height of the tree is option;

A. $\dfrac{h}{12} = \dfrac{6}{5}$

Step-by-step explanation:

The given parameters in the question are;

The medium through which the person looks at the top of the tree = A mirror

The angle formed by the person and the tree with the ground = Right angles = 90°

The distance of the person from the mirror, d₁ = 5 ft.

The height of the person, h₁ = 6 ft.

The distance of the tree from the mirror, d₂ = 12 ft.

The angle formed by the incident light from the tree on the mirror, θ₁ = The angle of the reflected light from the mirror to the person, θ₂

Let 'A', 'B', 'M', 'T', and 'R' represent the location of the point at the top of the person's head, the location of the point at the person's feet, the location of the mirror, the location of the top of the tree and the location of the root collar of the tree, we have;

TR in ΔMRT = The height of the tree = h, and right triangles ΔABM and ΔMRT are similar

The corresponding legs are;

The height of the person and the height of the tree, which are AB = 6 ft. and TR = h, respectively

The distances of the person and the tree from the mirror, which are BM = 5 ft. and MR = 12 ft. respectively

∴ The angle formed by the incident light from the tree on the mirror, θ₁ = ∠TMR

The angle of the reflected light from the mirror to the person, θ₂ = ∠AMB

Given that θ₁ = θ₂, we have;

tan(θ₁) = tan(θ₂)

∴ tan(∠TMR) = tan(∠AMB)

$tan\angle X = \dfrac{Opposite \ leg \ length \ to \ reference \ angle}{Adjacent \ leg \ length \ to \ reference \ angle}$

$tan(\angle TMR) = \dfrac{TR}{MR} = \dfrac{h}{12}$

$tan(\angle AMB) = \dfrac{AB}{BM} = \dfrac{6}{5}$

From tan(∠TMR) = tan(∠AMB), we have;

$\dfrac{h}{12} = \dfrac{6}{5}$

$\therefore h = \dfrac{6 \, ft.}{5 \, ft.} \times 12 \, ft. = 14.4 \, ft.$

The height of the tree, h = 14.4 ft.

Therefore, from the proportion $\dfrac{h}{12} = \dfrac{6}{5}$ the height of the tree can be estimated.

3 0

3 years ago