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3 years ago

What is the answer to this question

Mathematics

2 answers:

Schach [20]3 years ago

8 0

Vertical angles are equal

4x = 45 + 15
4x = 60
x = 60/4
x = 15

mojhsa [17]3 years ago

3 0

Firstly,we need to find the sum of opposite angle of 4x,which is 45°+15°=60°

since the right opposite angles have a same degree,the equation would be:

4x=60°
x=60°/4
x=15°

Thus,the answer is 15°

Hope it helps!

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2x+5y=-55 y=3x+6 What is the solution

Arlecino [84]

Let: eq 1:2x+5y=-55
eq 2:y=3x+6
by substituting eq 2 in eq 1 we get,
2x+5(3x+6)=-55
2x+15x+30+55=0
17x + 85=0
x=-85/17
x=-5
By substituting x value in eq 2,
we have,
y=3(-5)+6=-15+6=-9

3 0

3 years ago

Read 2 more answers

What is the solution to 4w=2/3

grigory [225]

2/12 or 1/6. You have to divide 2/3 by 4 to get what w equals to.

4 0

4 years ago

Read 2 more answers

Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ <em>cross multiply</em>

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

3 0

3 years ago

the perimeter of the quadrilateral is 49 centimeters. find the length of each side. x+9 , x^2-2x , x+4 , 3x-4

shtirl [24]

X= 5 or -8

Add all the like terms and set it equal to 49, use quadratic formula or factoring.

3 0

3 years ago

ok so if you have 3 and 1/4 pizza and want to subtract 3/4 out of it,and get 3x more slices then you had from a friend after sub

Brilliant_brown [7]

Answer:

You have 2 and 1/2 pizzas and your friend has 5/6 of a pizza.

Step-by-step explanation:

You have 3 1/4 pizzas. If you get rid of 3/4 of a pizza, you will end up with 2 2/4 pizzas.

To make it easier, you can just change the values into improper fractions: 3 1/4 = 13/4

13/4 - 3/4 = 10/4

10/4 = 2 2/4 pizzas

(2 2/4 = 2 1/2)

Anyways! You now have 2 and a half pizzas. You have 3 times the amount of pizza that your friend has. In other words, your friend has 1/3 the amount of pizza that you have. You can solve for this in two ways, whichever way you solve it is up to you.

You can solve this problem by dividing the amount of food you have by 3: $\frac{2\frac{1}{2} }{3}$ which equals 0.8333... (the 3 is repeating). But you can just keep your final answer in fraction form if you want to: $\frac{2.5}{3} = \frac{5}{6}$
You can solve this problem by multiplying 1/3 to the amount of food you have: $\frac{1}{3} * 2 \frac{2}{4}\\=\frac{10}{12}\\ =\frac{5}{6}$

You have 2 and 1/2 pizzas and your friend has 5/6 of a pizza.

8 0

3 years ago