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slamgirl [31]
2 years ago
8

Find the values of the variables. Show your work and explain your steps. The diagram is not to scale.

Mathematics
2 answers:
Travka [436]2 years ago
6 0

Answer:

w=59 y=59 z=53 x=121 v=121

Step-by-step explanation:

inside a triangle the angles should add up to 180 so you can easily do 180-31 -90 to find w then with that you can find the rest and also w is equal to y cause theyre vertical angles

Anna71 [15]2 years ago
6 0

Answer:

w=59, x=121, v=121, y=59, and z=53

Step-by-step explanation:

One thing that all triangles have in common is that the sum of all of their angles is equal to 180 degrees.  This will help us solve for the variables.  

The triangle seen on the left side of the diagram is a right triangle, meaning that one of the angles is equal to 90 degrees.  The other angle is labeled as being 31 degrees, so we can add 90 and 31 together to get 121 degrees, which we can now subtract from 180 to get the angle w, which is 59 (180-121=59).

Knowing that w is equal to 59 degrees, we can solve for x because it is clear that this is a straight line, and these are equal to 180 degrees as well, so 180-59=x which is 121.

x and v are equal to each other as is w and y, so all that's left to solve for is z.

Triangles are equal to 180 degrees, so we subtract the sum of 68 and y (59) to get the measurement of z. 68+59=127.  180-127=53.  

I hope that this helps :)

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3 years ago
162 is what percent of 200?
Bond [772]

Answer:

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Step-by-step explanation:

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3 years ago
A recipe includes 66 cups of flour and two thirds 2 3 cup of buttermilkbuttermilk. Write the ratio of the amount of flour to the
beks73 [17]

Answer:

The ratio of the amount of flour to the amount of buttermilk=99:1

Step-by-step explanation:

Step 1: Determine quantity for each recipe

Quantity of flour=66 cups

Quantity of buttermilk=2/3 cups

Step 2: Calculate the total quantity of recipe

The expression for the total quantity is;

T=f+b

where;

T=total quantity of recipe

f=quantity of flour

b=quantity of buttermilk

In our case;

T=unknown

f=66 cups

b=2/3 cups

replacing;

T=(66)+(2/3)=66 2/3 cups

Step 3: Determine fraction of each

fraction of buttermilk=(2/3)/(66 2/3)=1/100

fraction of flour=66/(66 2/3)=99/100

Step 4: Determine ratio of flour to buttermilk

Amount of flour:amount of buttermilk

(99/100):(1/100)

The ratio of the amount of flour to the amount of buttermilk=99:1

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3 years ago
In a parallelogram ABCD , the bisector of angle A bisects BC at X. Prove that AD=2 AB.
erica [24]
There's no diagram, so I made my own.
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