All categories

3 years ago

Given the figure below, find the values of x and z.

Mathematics

1 answer:

ipn [44]3 years ago

4 0

Answer:

<h2>Value of :</h2><h2>x = 12°</h2><h2>z = 101°</h2>

By using the Vertically Opposite Angles  property

79 = 6x + 7 where value we get is x = 12

By using Linear pair  property

79 + z = 180 where we get the value of z = 101

You might be interested in

Written as a simplified polynomial in standard form, what is the result when (x-8)^2

neonofarm [45]

Answer:

26x-67-x²

Step-by-step explanation:

We are given

$(10x - 3) - (x - 8) {}^{2}$

Expanding (x-8)²=x²-16x+64

10x-3-(x²-16x+64)

10x-3-x²+16x-64

26x-67-x²

3 0

3 years ago

LAST QUESTION ON MY TOPIC!!! PLEASE

nataly862011 [7]

Givens

Slower car

r = r

t = 12 hours

d = ?

Faster car

r = r + 20

t = 8 hours

d = ?

It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.

d = r * t

r * 12 hours = (r + 20)* 8 hours. Remove the brackets on the right

r*12 = 8r + 20*8

r*12 = 8*r + 160

r*12 - 8r = 8r - 8r + 160

4r = 160

r = 40 miles / hour

=================

Slower Ride determines the distance.

d = r*t

d = 40 * 12

d = 480

Check

Use the faster rate (r + 20) = 40 + 20 = 60 mph

60 * 8 = 480. Both distances work out to be the same.

5 0

2 years ago

Please anyone can give me it's urgent....

Pavlova-9 [17]

Step-by-step explanation:

From the figure it is clear that:

x+110°=180

x=180-110

x=70

For y:

the left exterior angle of line q is also70.

By the definition of alternate exterior angle:

y=70

Note:if you need to ask any question please let me know.

3 0

2 years ago

Assume that lines

lora16 [44]

Answer:

Step-by-step explanation:

The inscribed angle 36°m is half the measure of its intercepted arc, that is

b = 2 × 36 = 72

c = 360 - (108 + 72) = 360 - 180 = 180 ( total sum of arcs in a circle )

The angle between a tangent and the radius of a circle at the point of contact is 90° , then

d = 90

Thus b = 72, c = 180, d = 90 → b

4 0

2 years ago

Read 2 more answers

Find the area of the semicircle. Round your answer to the nearest hundredth. PLEASEE HELPP

trapecia [35]

Answer:

Area of semicircle = 226.08 in²

Step-by-step explanation:

Diameter of semicircle = 24 in

We need to find area of semicircle.

The formula used to find area of semicircle is: $Area=\frac{\pi r^2}{2}$

First we will find radius

We know that: radius = diameter/2 = 24/2 = 12

Now, finding area

$Area=\frac{\pi r^2}{2}\\Area=\frac{3.14\times (12)^2}{2}\\Area=\frac{452.16}{2}\\Area=226.08\:in^2$

So, Area of semicircle = 226.08 in²

7 0

3 years ago