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Reptile [31]
2 years ago
10

Find the value of x.a) 80b) 90c) 45d) 60​

Mathematics
2 answers:
Afina-wow [57]2 years ago
8 0

Answer:

<h2>C. 45</h2>

Step-by-step explanation:

<h2>Hope it help Mark as brain liest </h2>
Oxana [17]2 years ago
7 0

Answer:

b

Step-by-step explanation:

The tangent- tangent angle x is half the difference of its intercepted arcs.

Th sum of the arcs in a circle = 360°

major arc = 360° - 90° = 270° , then

x = \frac{1}{2} (270 - 90)° = \frac{1}{2} × 180° = 90° → b

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Estimate each product 3/4 times 23
storchak [24]
We would have to convert 3/4 to a decimal of 0.75 (the equivalent)
0.75*23 = 17.3

-or-

3 * 23 = 69
4 * 23 = 92
6 0
2 years ago
Find the area of the triangle.
BabaBlast [244]

Answer:

17.7 cm^2

Step-by-step explanation:

Use trig to find the height of the triangle. Then the area is bh/2.

Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.

Use triangle ABD to find the height, AD, of triangle ABC.

For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.

sin B = opp/hyp

sin 37 deg = AD/13.1

AD = 13.1 * sin 37 deg

AD = 7.9

AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.

area = bh/2

area = (4.5 cm)(7.9 cm)/2

area = 17.7 cm^2

5 0
3 years ago
Can the distributive property be used to rewrite 6(9 - 4) ?
alukav5142 [94]

Answer:

yes distribute . . .

Step-by-step explanation:

the 6 to the 9 and the 4

6(9) - 6(4)=30

5 0
2 years ago
X²+Y²=250 and XY=117<br> What are the values of X and Y?
yan [13]

Answer:

<h3>            x = -9,  y = -13 </h3><h3>    or    x = 13,   y = 9</h3><h3>    or    x = -13,  y = -9</h3><h3>    or     x = 9,   y = 13</h3>

Step-by-step explanation:

x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad  x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}

y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9

6 0
3 years ago
Ms. Cathy bought a package of pens. Out of every 10 pens, 6 are black. If there are 20 pens in the pack, what fraction of the pe
melisa1 [442]

Answer:

12/20 or 60%

Step-by-step explanation:

8 0
2 years ago
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