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3 years ago

If 5 4, − = x then x = A. −21 B. −11 C. 1 D. 11

1 answer:

4 0

5 - x = 4
Subtract x from both sides.
5 - x + x = 4 + x
5 = 4 + x
Subtract 4 from both sides.
5 - 4 = 4 + x - 4
Hence, the answer:

x = 1

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3 years ago

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frosja888 [35]

The two triangles are similar by the AA Similarity theorem.

The height of the tree can be calculated by figuring out the ratio between the distance between the mirror to her feet and the distance from the mirror to the tree

<h3>How to use the concept of similar Triangles?</h3>

From Law of Reflection, we know that the angle of incidence and the angle of reflection are equal to each other.

Now, triangles can be proved similar by the AA, SAS, or SSS theorems. However, in this question, the triangles as seen in the attached image can be proved similar by the AA similarity theorem.

This is because both triangles have one congruent angle in common.

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Since the triangles are similar, it means that the ratios of the sides of the triangles will be the same. Thus, if Sarah knows the distance from the mirror to her feet and the distance from the mirror to the tree, she can create the ratio between the two triangles.

Read more about Similar Triangles at; brainly.com/question/14285697

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5 0

2 years ago

A regular assignment has 15 sides.Calculate the size of each interior angle

MariettaO [177]

Answer:

The measure of an interior angle of a regular 15-gon is 120°.

Step-by-step explanation:

We need to determine the measure of the size of an interior angle of a regular 15-gon having 15 sides.

Thus,

The number of sides n = 15

Hence,

Using the formula to determine the measure of an interior angle of a regular 15-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 15

(15 - 2) × 180 = 15 × interior angle

13 × 180 = 15 × interior angle

Interior angle = (10 × 180) / 15

= 1800 / 15

= 120°

Therefore, the measure of an interior angle of a regular 15-gon is 120°.

6 0

3 years ago

Omar wrote 3 + ( 4 × 6 ) to represent the phrase "3 more then the product of 4 and 6." Did Omar need to use a grouping symbol? E

valentina_108 [34]

The order of operations is PEMDAS (parenthesis, exponents, multiplication/division, addition/subtraction). This means that you do multiplication before adding, so 3 + 4*6 is the same thing as 3 + (4*6). Because of this, Omar did not need to use a grouping symbol.

8 0

3 years ago

Read 2 more answers

I don’t know how to solve things like this

EleoNora [17]

To do this problem you need to find angle adc which is a part of angle BDA. angle BDA is 90 degrees so the 2 parts must add up to 90 degrees so you set up the problem like this
-2x + 144 - 3x +51 =90
then you combine like terms
-5x +195 = 90
then you subtract 195 from 90
-5x = -105
then you divide -5 by -5 and -105 by -5 and get
x=21
then you plug x in and get your angle measure
-3(21) +51
then you get the angle measure as 114 degrees.

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3 years ago