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2 years ago

Find the missing angle.

Mathematics

1 answer:

grigory [225]2 years ago

3 0

Answer:

32 degrees

Step-by-step explanation:

The angle supplementary with the 122 degree angle measures 180-122=58 degrees.

So, the triangle has interior angles of f, 90, and 58 degres.

Since the angles in a triangle add to 180 degrees, f+180-90-58=32 degrees

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Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x² + 1 into the quadratic

antoniya [11.8K]

The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
Step-by-step explanation :
The given expression is,

To solve this problem we are using quadratic formula.
The general quadratic equation is,

Formula used :

Now we a have to solve the above equation and we get the value of 'x'.

a = 3, b = -2, c = 0

The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0

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Step-by-step explanation:

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3 years ago

For this Prism to be a right prism, all the lateral faces must be rectangles. Is enough infromation given to prove the lateral f

Ilia_Sergeevich [38]

Answer:

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3 years ago

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream. What is the rate of

nikitadnepr [17]

<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>

Given that,

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream

Therefore,

Upstream distance = 165 km

Upstream time = 3 hours

<h3><u>Find upstream speed:</u></h3>

$speed = \frac{distance}{time}\\\\speed = \frac{165}{3}\\\\speed = 55$

Thus upstream speed is 55 km per hour

Downstream distance = 510 km

Downstream time = 6 hours

<h3><u>Find downstream speed:</u></h3>

$speed = \frac{510}{6}\\\\speed = 85$

Thus downstream speed is 85 km per hour

<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>

Speed downstream = u + v km/hr

Speed upstream = u - v km/hr

Therefore,

u + v = 85 ----- eqn 1

u - v = 55 ----- eqn 2

Solve both

Add them

u + v + u - v = 85 + 55

2u = 140

u = 70

<em><u>Substitute u = 70 in eqn 1</u></em>

70 + v = 85

v = 85 - 70

v = 15

Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr

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4 years ago

If F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30 find each measure

seraphim [82]

Answer:

The measure of JK is 60

Step-by-step explanation:

It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.

The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .

According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third si

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3 years ago

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