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2 years ago

Suppose that NOP is isosceles with base.

Mathematics

1 answer:

NemiM [27]2 years ago

4 0

Step-by-step explanation:

In isocseles triangle, base angles are equal :

base angles are angle N and angle P:

angle N=angle P

3x+17=4x+2

4x-3x=17-2

x=15

For angle N:

subtitute x in angle N

=3(15)+17

=45+17

=62

For angle P:

subtitute x in angle P:

=4(15)+2

=60+2

=62

For angle O:

sum of all angles in a triangle is 180.

angle N +angle P+angle O=180

62+62+angle O=180

angle O=180-62-62

angle O=56

Note: if you have any question let me know about it. thanks

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The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative

sertanlavr [38]

The true statement about the function f(x) = -x² - 4x + 5 is that:

The range of the function is all real numbers less than or equal to 9.

<h3 /><h3>What is the domain and range for the function of y = f(x)?</h3>

The domain of a function is the set of given values of input for which the function is valid and true.

The range is the dependent variable of a given set of values for which the function is defined.

The domain of the function: f(x) = -x² - 4x + 5 are all real number from -∞ to +∞

For a parabola ax² + bx + c with the vertex $\mathbf{(x_v,y_v)}$

If a < 0, then the range is f(x) ≤ $\mathbf{y_v}$

If a > 0, then the range f(x) ≥ $\mathbf{y_v}$

Here; a = -1,

The vertex for an up-down facing parabola for a function y = ax² + bx + c is:

$\mathbf{x_v = -\dfrac{b}{2a}}$

Thus,

vertex $\mathbf{(x_v,y_v)}$ = (-2, 9)

Range: f(x) ≤ 9

Therefore, we can conclude that the range of the function is all real numbers less than or equal to 9.

Learn more about the domain and range of a function here:

brainly.com/question/26098895

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2 years ago

50 points decreased by 26%

RoseWind [281]

Get the decimal version of 26% by moving the decimal (at the end) over to spots, giving you .26. Multiply 50 by this, and you get .26*50=13. : )

6 0

2 years ago

Read 2 more answers

23 - (2 + 4) - 15 ÷ 3

liubo4ka [24]

Answer:

Step-by-step explanation:

23 - (2 + 4) - 15/3

23 - (6) - 5

23 - 6 - 5

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2 years ago

Read 2 more answers

Consider the equation 3p-7+p=13

GarryVolchara [31]

Answer:

p=5

Step-by-step explanation:

3p-7+p=13

Add like terms.

3p+p-7=13

4p-7=13

Add 7 to both sides.

4p-7+7=13+7

4p=20

Divide 4 from both sides.

$\frac{4p}{4}$ = $\frac{20}{4}$

p=5

Hope this helps!

If not, I am sorry.

3 0

2 years ago

If a triangle has lengths of 3 ft and 54 ft, check all the possible lengths for the third side

zhenek [66]

MrBillDoesMath!

Answer: 51,53,55,57

Discussion. By the triangle inequality the sum of the lengths of any two sides is greater than or equal to the third side. In our case, 3 + 54 = 57, so the third side must be less than or equal to 57.

MrB

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2 years ago