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Fittoniya [83]
3 years ago
5

Which diagram represents the hypothesis of the converse of corresponding angles theorem?

Mathematics
1 answer:
BabaBlast [244]3 years ago
5 0

Answer:

the first diagram

Step-by-step explanation:

first one

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What is the other zero of the quadratic function?
svetoff [14.1K]

Answer:

he zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.

Step-by-step explanation:

3 0
3 years ago
Write the extreme and middle terms of 5 : 80 :: 4 :64
Stells [14]

Answer:

The extremes are 5 and 64.

The middle terms are 80 and 4.

Step-by-step explanation:

Given the proportion:

5 : 80 :: 4 :64

To find:

The extreme and middle terms of the given proportion.

Solution:

The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.

OR

First number \times Fourth number = Second number \times Third number

First of all, let us check the two products.

5 \times 64 = 320

And the second product:

80 \times 4 = 320

The product is same therefore, the given numbers are in proportion.

The extreme terms are the first and the fourth numbers.

i.e. The extremes are 5 and 64.

The middle terms are 80 and 4.

7 0
3 years ago
Is the following conditional true or false? If it is true, explain why. If it is false, give a counterexample
Schach [20]
Well I would solve it but where's the problem?
6 0
3 years ago
Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with
Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

tan(72)=\frac{150}{x} and, solving for x,

x=\frac{150}{tan(72)}

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

7 0
4 years ago
Find an equation of the line that passes through (-5,-7) and is parallel to 5x+9y+18=0. Give answer in slope intercept form
Kipish [7]

Answer:

y = - \frac{5}{9} x - \frac{88}{9}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 5x + 9y + 18 = 0 into slope- intercept form

Subtract 5x + 18 from both sides

9y = - 5x - 18 ( divide all terms by 9 )

y = - \frac{5}{9} x - 2 ← in slope- intercept form

with m = - \frac{5}{9}

Parallel lines have equal slopes, thus

y = - \frac{5}{9} x + c ← is the partial equation

To find c substitute (- 5, - 7) into the partial equation

- 7 = \frac{25}{9} + c ⇒ c = - 7 - \frac{25}{9} = - \frac{88}{9}

y = - \frac{5}{9} x - \frac{88}{9} ← equation of line

5 0
3 years ago
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