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Ymorist [56]
3 years ago
15

What is the value of

Mathematics
2 answers:
g100num [7]3 years ago
8 0

Answer:

61°

Step-by-step explanation:

∠SPQ is a straight line, so it equals to 180°.

∠SPR is 119° and since we're looking for ∠QPR, we subtract 119° from 180°.

180° - 119° = 61°, so ∠QPR = 61°

Snowcat [4.5K]3 years ago
5 0

Answer:

61 degrees

Step-by-step explanation:

Because SPQ is said to be a straight line, we know that a straight line in this kind of equation is equal to 180 degress.

Since we already know the measure to one angle (119), we would need to find the difference between 180 and 119, meaning we'd have to subtract.

(180-119)

Then we would just get the sum, which in this case, is 61 degrees.

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The vertices of a triangle are A(4, 1), B(9, 1), C(2, 5). What is the area of this triangle.
kiruha [24]

Hey there!

\large\boxed{10u^2}

Formula for the area of a triangle is (1/2)bh.

Base of this triangle is 5, height is 4.

Image attached.

Plug values into the formula:

A = (1/2)(5)(4)

Simplify.

A = (1/2)(20)

A = 10

Area of the triangle is 10 units².

Hope this helps!

6 0
3 years ago
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Which graph is defined by the function given below?<br> y= (x + 2)(x+7)
Lady bird [3.3K]

Answer:

A parabola

Step-by-step explanation:

It's a quadratic equation so the graph will be a parabola.

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3 years ago
The Coffee Counter charges ​$8.00 per pound for Kenyan French Roast coffee and ​$10.00 per pound for Sumatran coffee. How much o
Tcecarenko [31]

Answer:

x = 9

y = 9

Step-by-step explanation:

Given :

Let :

Kenyan French roast coffee = x

Cost per x = $8

Sumatran Coffee = y

Cost per y = $10

x + y = 18 - - - - (1)

8x + 10y = 9 * 18 ;

8x + 10y = 162 - - - - (2)

From (1):

x = 18 - y

Put x = 18 - y in (2)

8(18 - y) + 10y = 162

144 - 8y + 10y = 162

2y = 162 - 144

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4 0
3 years ago
Tara standing 20 feet from a tree and the angle of elevation is 72°. About how tall is the tree?
Zinaida [17]

Answer:

Approx 61.554 feet

Step-by-step explanation:

Since we are dealing with the opposite and adjacent sides, we will use tangent as our ratio.

Since the angle of elevation is 72 degrees, the left side of our equation is tan(72).

The right side of the equation is opposite over adjacent.

x/20

Set these equal to each other.

tan(72) = x/20

Simplify.

20 tan(72)=x

20(3.078) = x

x is approximately 61.554.

4 0
3 years ago
Determine the total number of roots of each polynomial function using the factored form.f (x) = (x 1)(x - 3)(x - 4)
aliina [53]

Answer:

there are 3 roots at x=+-1, +3, +4

Step-by-step explanation:

4 0
2 years ago
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