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nata0808 [166]
3 years ago
13

A triangle has a bottom left angle of (x + 15) degrees and a bottom right angle of (x degrees). 1 parallel and horizontal line s

its at the top point of the triangle. Another parallel and horizontal line sits at the base of the triangle. The exterior angle to the bottom right angle of the triangle is (4 x minus 20) degrees.
What is the value of x?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer:

<em>The value of x is 40°</em>

Step-by-step explanation:

The triangle described in the text of the question is shown in the image attached.

Note the angles x and 4x-20 are supplementary since they form a line. Thus:

x + 4x - 20 = 180

Simplifying:

5x - 20 = 180

Adding 20:

5x = 200

Solving:

x = 200/5 = 40

The value of x is 40°

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3 years ago
If f(x) = x-6 and g(x) = x^1/2 , find g(x) x f(x) .
shusha [124]

Answer:

x^3/2 - 6x^1/2

Step-by-step explanation:

f(x) = x - 6

g(x) = x^1/2

g(x) * f(x) = x^1/2(x - 6)

g(x) * f(x) = x^3/2 - 6x^1/2

5 0
3 years ago
Which correctly uses bar notation to represent the repeating decimal
ioda

Answer:

2nd one..

Step-by-step explanation:

but although all are wrongmm barnotation is not used

6 0
3 years ago
the length of a tangent from a point a at distance 5 cm from the centre of the circle is 4 cm find the radius of the circle ​
Semenov [28]

The radius of the circle is 3 cm.

<u>Step-by-step explanation:</u>

Refer the attached diagram, the circle with centre O. In that given, AB is tangent given as 4 cm and distance of point from the circle, OA = 5 cm

As AB is tangent, OB (radius of circle) is perpendicular to AB (tangent at any point of circle). Therefore the angle of OBA is 90 degree.

Also, triangle OAB is a right angled triangle (refer attached diagram). By using Pythagoras theorem in right angled triangle,

             (\text {Hypotenuse})^{2}=(\text {Height})^{2}+(\text {Base})^{2}

             (O A)^{2}=(O B)^{2}+(A B)^{2}

Substitute the given values in the above expression, we get

             (5)^{2}=(O B)^{2}+(4)^{2}

             (O B)^{2}=25-16=9

Taking square root on both side, we get

              Radius of the circle, OB = 3 cm

5 0
3 years ago
Linear function g is shown in the graph. Write the slope-intercept form of the equation representing this function.
jenyasd209 [6]

Answer:

y = -2x + 1

Step-by-step explanation:

First, find the slope with rise/run (y2 - y1) / (x2 - x1)

We can use the points (-1, 3) and (0, 1)

Plug in the points:

(1 - 3) / (0 + 1)

-2/1

= -2

The y-intercept is (0, 1) because that is the point where the line intercepts the y axis. So, we can plug in the slope and y-intercept into the equation:

y = mx + b

y = -2x + 1

8 0
3 years ago
Read 2 more answers
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