Angle A and angle C are vertical angles. If m∠A=(3x+7)∘ and m∠C=(x+53)∘, what is the value of x

2 answers:

6 0

Since it is a given that the angles are vertical, then that means they have to be congruent or = to each other so we can now set up an equation:

3x+7=x+53

Now we need to get the variable alone on one side so subtract 7 from the left (remember what you do, you must do to both sides)

3x=46

Now we can divide by three to get x alone

x=15.333333333 or rounded to 15.33

Talja [164]3 years ago

6 0

Vertical angles are equal

3x+7=x+53
Subtract x from both sides
2x+7=53
Subtract 7 from both sides
2x= 46
X=23

You might be interested in

there tiger barbs in a 15 gallon aquarium and giant dani is in a 30 gallon aquarium.what numerical expression to represent the g

Eva8 [605]

The numerical expression that represents the total number is parentheses 15 divided by 3 plus parentheses 30 divided by 5

3 0

3 years ago

How do i do this type of slope?

nalin [4]

Answer:

because it matters where the points are located

Step-by-step explanation:

4 0

3 years ago

What 2 numbers add to get 2 and multiply to 4

rusak2 [61]

Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4

first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x= $\frac{ -b+/-\sqrt{b^{2}-4ac} }{2a}$ so

1x^2-2x+4=0
a=1
b=-2
c=4
x= $\frac{ -(-2)+/-\sqrt{(-2)^{2}-4(1)(4)} }{2(1)}$
x= $\frac{ 2+/-\sqrt{4-16} }{2}$
x= $\frac{ 2+/-\sqrt{-12} }{2}$
we have $\sqrt{-12}$ and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x= $\frac{ 2+/-2\sqrt{-3} }{2}$
i= $\sqrt{-1}$
x= $\frac{ 2+/-2i\sqrt{3} }{2}$
x= $1+/-i\sqrt{3}$
x= $1-i\sqrt{3}$ or x= $1+i\sqrt{3}$ (those are the 2 numbers)

6 0

3 years ago

How many bowls of cereal did he eat pls and thx

miv72 [106K]

36 bowls - since with one gallon he can eat 12 bowls (as demonstrated by 1/12), you multiply 12 by 3 to get 36 bowls.

8 0

3 years ago

Read 2 more answers

Can someone pLEASE HELP ASAPPPP<br> I NEED THIS TO FINISH PLEASE :p<br> THANNKS YOU !!

Goryan [66]

Answer: $5 for each eraser

Step-by-step explanation: