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Vladimir [108]
2 years ago
5

Liana can see that the measure of Angle L and Angle M form a straight line. Since Liana knows that a straight line has an angle

measure of 180 degrees, what is the measure (in degrees) of Angle M?
Mathematics
1 answer:
cricket20 [7]2 years ago
4 0

Answer:

150 degrees

Step-by-step explanation:

Let's start off by looking at what we are working with in this specific problem:

We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)

Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.

Now that we've got all of that out of the way, let's set up a simple algebraic equation:

angle L + angle M = 180

We also know that angle L is 30 degrees so let's add it into the equation we have just created:

30 + angle M = 180

We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.

180 - 30 = angle M

Now we are left with:

150 degrees = angle M

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11/21 as a decimal and a percent
pochemuha

11/21 written as a decimal would be 0.52381 and in percent, it would be 52.381%.

To solve percent, since the total or 1/1 is 100%, we have to remember that the answer is less than 100%. So, we move 2 decimal places right to make it into percent. Then, the answer is 52.381.

To solve percent, you would do 100/21. Then, you would get 4.7619047619. You multiply that by 11 and get 52.381. But, you have to move 2 places left since fractions are tens, hundreds. So, you would get 0.52381.

8 0
3 years ago
Please help!! ill give BRAINLIEST!!!
ella [17]

Answer:

2. x=5.7

4. AC=7

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6 0
3 years ago
Determine the value of x?​
olga2289 [7]

Answer:

x=38 degrees

Step-by-step explanation:

supplemental angle to 114 degrees is 66 degrees

180=x+2x+66

3x=114

x=38 degrees

7 0
2 years ago
Read 2 more answers
Given that the product of two positive integers is 44, and their least common multiple is 22, what is their greatest common divi
swat32

Answer:

2

Step-by-step explanation:

For any positive numbers a,b we always have the following identity:

a\cdot b=gcd(a,b)\cdot lcm(a,b)

(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)

In our case, we are given that a\cdot b = 44 and that lcm(a,b)=22. Plugging that in into our identity, we get:

44=gcd(a,b)\cdot 22

And so solving for gcd(a,b):

gcd(a,b)=\frac{44}{22}=2

5 0
3 years ago
In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.
lawyer [7]

Answer:

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73=\frac{p}{h}

3.27=\frac{yz}{xy}

3.27×[xy]=yz

xw+wy=\frac{yz}{3.27}

wy=\frac{yz}{3.27}-80...........(1)

again

In right angled triangle WYZ

Tan 80=\frac{yz}{wy}

5.67×wy=yz

wy=\frac{yz}{5.67}

yz=5.67×wy............................................(2)

E<u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>equation</u><u> </u><u>1</u><u>&</u><u>2</u>

\frac{yz}{5.67}=\frac{yz}{3.27}-80

\frac{yz}{3.27}-\frac{yz}{5.67}=80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz=\frac{1483.272}{2.4}

yz=618.03

:.y=618.03unit.<u>the length of ZY to the nearest 100</u><u>th</u><u> </u><u>is</u><u> </u><u>6</u><u>1</u><u>8</u><u>.</u>

8 0
3 years ago
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