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2 years ago

In the drawing below, label the distances given for the peak you chose

Mathematics

2 answers:

Sonbull [250]2 years ago

6 0

Answer: These two triangles are similar to each other.

Step-by-step explanation:

Let AB represents the height of the peak, (where A is the top point ) CD represents height of Taylor and M represents the position of the mirror,

( Shown in the below diagram )

By the diagram,

$\angle ABM\cong \angle CDM$ ( Right angles )

$\angle AMB\cong \angle CMD$ ( By the given diagram )

Hence, by the AA similarity postulate,

$\triangle ABM \sim \triangle CDM$

⇒ Given two triangles are similar to each other.

earnstyle [38]2 years ago

3 0

Notice the larger triangle is a right-triangle, and the small one is also a right-triangle. Also notice the "angle tickmark" on each. So both angles have a pair of angles that are equal on each.

the triangles are similar by AA.

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Find the unknown angle measure by solving for the given variable

tiny-mole [99]

A straight line is 180°. So you can do:

(15x - 4) + (5x - 8) = 180 Simplify

20x - 12 = 180

20x = 192 Find the value of x

x = 9.6

m∠ABD = 15x - 4 Plug in x = 9.6

m∠ABD = 15(9.6) - 4 = 144 - 4 = 140°

m∠DBC = 5x - 8 Plug in 9.6

m∠DBC = 5(9.6) - 8 = 48 - 8 = 40°

3 0

2 years ago

Put this into Slope Intercept Form<br> x + 6y = –6

mel-nik [20]

Answer:

$y=-\frac{x}{6} -1$

Step-by-step explanation:

Hi there!

We are given the following equation:
x+6y=-6

And we want to convert it into slope-intercept form

Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept

The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients

Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side

So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y

Here is our equation again:

x+6y=-6

Start by subtracting x from both sides

x+6y=-6

-x -x

_______________

6y=-x-6

Now divide both sides by 6

$y=-\frac{x}{6} -\frac{6}{6}$
We can simplify the fractions to become:

$y=-\frac{x}{6} -1$
Hope this helps!

See more on converting from standard to slope-intercept form here: brainly.com/question/26579052

6 0

2 years ago

You use for gallons of water on 14 plants in your garden. At this rate how much water will it take to water 35 plants?

nataly862011 [7]

The answer would be 10! I divided the number of plants that you can water with 4 gallons (14) by, well, the number of gallons it takes to water them (4) and got 3.5 (14 / 4 = 3.5), the number of plants you can water with one gallon. I then divided the number of plants you need to water (35) by the number of gallons it takes to water one plant (3.5) and came up with 10. I hope this helps you!

4 0

3 years ago

What is the equation of the line that passes through the points 15, nine and -2, nine

olasank [31]

Answer:

y=9

Step-by-step explanation:

y=mx+c

gradient of a horizontal line is 0

y=0x+9

y=9

5 0

3 years ago

1a. [1 mark] The price per kilogram of tomatoes, in euros, sold in various markets in a city is found to be normally distributed

andrey2020 [161]

Answer:

The price that is two standard deviations above the mean price is 4.90.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3.22 and a standard deviation of 0.84.

This means that $\mu = 3.22, \sigma = 0.84$