All categories

3 years ago

Please please please help me with this answer and how you got it

Mathematics

1 answer:

klemol [59]3 years ago

3 0

Answer:

∠ x = 41°, ∠ y = 139°

Step-by-step explanation:

x and y are adjacent angles and are supplementary , thus

x + y = 180

y = 3x + 16 ( 16 more than 3 times x ) , so

x + 3x + 16 = 180

4x + 16 = 180 ( subtract 16 from both sides )

4x = 164 ( divide both sides by 4 )

x = 41

and y = 180 - 41 = 139

You might be interested in

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

A butcher has 10 3/4 pounds of ground beef that will be priced at 3.40 dollars per pound. He divides the meat into 8 equal packa

spin [16.1K]

Well we know that 10 and 3/4 is equivalent to 10.75. If we divide the meat into 8 equal packages we have to divide 10.75 by 8. Dividing 10.75 by 8 gives us 1.34375 pounds of meat per package. If we take that, and multiply it by our given value of $3.40 per pound, we end up getting $4.57 a package.

8 0

3 years ago

Read 2 more answers

If 3 times a number is decreased by 12, the result is 5

Nadusha1986 [10]

3 times a # (# isn't specified, so you should use a variable): 3x
result is 5: =5
Put it all together: 3x=5

6 0

3 years ago

What is the value of 12a^-4b^-3 for a = 2 and b = -1?

enyata [817]

12a^-4 * b^-3
a= 2 and b = -1

Can you put 2 where it says a and -1 where it says b

7 0

2 years ago

Read 2 more answers

boris currently has $1200 in his saving account.. he saves$25 per month.he saves the same amount each month and does no take any

Setler [38]

10 months. First you subtract what is already in possession from what they need: $1450-$1200= $250 Then you would divide how much money is left to earn by how much money is gained every year: $250 divided by $25= 10 months Hope this helps!!

8 0

3 years ago

Read 2 more answers