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2 years ago

State whether the triangles ABC and MNO are similar or not and explain how you know.

Mathematics

1 answer:

AleksAgata [21]2 years ago

4 0

Triangles ABC and MNO are similar:
1.) same shape-different size
2.) corresponding angles are equal-both triangles are isosceles triangles.
3.) corresponding sides are in the same ratio 12/7.5=8/5=1.6

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Find the rate of change in the table

mixas84 [53]

Answer:

I'm pretty sure it's +(-6).

Step-by-step explanation:

Basically for these, you find the slope. The slope equation is y1-y2/x1-x2.

Pick two points.

I'll just do (1,15) and (2,9).

15-9/1-2 = 6/-1 = -6.

I don't know if you were taught it this way, but my math teacher always told us that the rate of change had to be positive.

So you'd say the rate of change is +(-6), not -6.

Hope that sorta helped lol

3 0

3 years ago

A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 fee

Naddika [18.5K]

Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle ( $A$ ), measured in square feet, is determined by the following equations:

$A = w\cdot l$ (1)

Where:

$w$ - Width, measured in feet.

$l$ - Length, measured in feet.

If we know that $w = x$ , $l = 2\cdot x$ and $A = 160\,ft^{2}$ , then we get the following second order polynomial:

$2\cdot x^{2}-160 = 0$ (1)

And we solve the expression for $x$ :

$2\cdot x^{2} = 160$

$x^{2} = 80$

$x = \sqrt{80}\,ft$

$x \approx 8.944\,ft$

Then, the dimensions of the pool are, respectively:

$w \approx 8.944\,ft$ and $l \approx 17.888\,ft$

5 0

2 years ago

Polygon LMNP slides 5 units right and 4 units down on the coordinate plane. If the original measure of angle M was 50 degrees, w

sergeinik [125]

Add them all together

3 0

2 years ago

Read 2 more answers

If mRS=x then write an equation that could be used to solve for x and find the value of x

Fed [463]

Answer:

a) x = 30°

b) mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

Question:

The complete question as found on Chegg website:

In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs

intercepted have the following ratio of measurements:

mRS : mST :MTU : mUR=1:4:4:3

(a) If mRS = x, then write an equation that could be used to solve for x

and find the value of x.

(b) State the measure of each of the four arcs.

mRS =

mST =

MTU

MUR =

Step-by-step explanation:

Find attached the diagram related to the question

mRS : mST : mTU : mUR = 1:4:4:3

Since mRS = x

Writing the ratios of the measure of angle in terms of mRS:

mST = 4× mRS = 4×x = 4x

mTU = 4× mRS = 4×x = 4x

mUR= 3× mRS = 3×x = 3x

The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)

mRS + mST + mTU + mUR = 360°

x + 4x + 4x + 3x = 360

12x = 360

x = 360/12

x = 30°

b) The measure of angle

mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

6 0

3 years ago

Jodie Meeks's Free Throws During the 2015-16 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting percentage

Damm [24]

Answer:

0.8973

Step-by-step explanation:

Relevant data provided in the question as per the question below:

Free throw shooting percentage = 0.906

Free throws = 6

At least = 5

Based on the above information, the probability is

Let us assume the X signifies the number of free throws

So, Then X ≈ Bin (n = 6, p = 0.906)

$P = (X = x) = $\sum\limits_{x}^6 (0.906)^x (1 - 0.906)^{6-x}, x = 0,1,2,3,.., 6$

Now

The Required probability = P(X ≥ 5) = P(X = 5) + P(X = 6)

$= $\sum\limits_{5}^6 (0.906)^5 (1 - 0.906)^{6-5} + $\sum\limits_{6}^6 (0.906)^6 (1 - 0.906)^{6-6}$

= 0.8973

8 0

3 years ago