All categories

2 years ago

Find the values of the variables.

Mathematics

1 answer:

sladkih [1.3K]2 years ago

6 0

Answer:

x = 82

y = 98

z = 87

Step-by-step explanation:

By inscribed angle theorem:

$x\degree =\frac{1}{2} (58\degree + 106\degree)$

$x\degree =\frac{1}{2}\times 164\degree$

$x\degree =82\degree$

$x =82$

x° and y° are the measures of the opposite angles of a cyclic quadrilateral.

Opposite angles of a parallelogram are supplementary.

Therefore,

x° + y° = 180°

82° + y° = 180°

y° = 180° - 82°

y° = 98°

y = 98

Similarly,

93° + z° = 180°

z° = 180° - 93°

z° = 87°

z = 87

You might be interested in

Can someone help me with this, thanksssss

Effectus [21]

Answer:17

Step-by-step explanation:Follow pemdas.

Start with parentheses which is (5+2) which gives you 7.

Now next in Pemdas is Exponents. SO do 2 to power of 2 which is 4 .Then do 3 to the power of 3 which is 27.Next add 4 to 27 which is 31.so now do 7 times 2 is 14.Then take 31 and subtarct it from 14 which gives you 17.

Look at pic to see clearly how it was solved and the steps. I color code it to show the steps.

3 0

2 years ago

Read 2 more answers

I need help on #4 ASAP!!!!

kodGreya [7K]

Hi there.

A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.

(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.

Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84;
One measurement is 84 degrees.

x = 40 is another measurement on its own.

Our measurements are:
56, 84, and 40.

Your corresponding answer choice is H.) 56, 84, 40.

I hope this helps!

7 0

2 years ago

Tanya is training a turtle for a turtle race. For every 1/6 of an hour that the turtle crawling he can travel 2/23 mile. at what

zavuch27 [327]

So first I hope this helps! But from what I’ve learned in school is that a unit rate pretty much just mean *1... so in words the answers would be 1/6 and hour for every 2/23 miles

8 0

3 years ago

A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14

Oliga [24]

Answer:

Let the distance between woman and pole be "x".

From diagram,

In ΔOAB,

tan 18 = $\frac{Perpendicular}{Base}$