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lidiya [134]
3 years ago
5

A and B are vertical angles. If A = 4x - 10 and B = 6x - 30, find mA.

Mathematics
2 answers:
Andru [333]3 years ago
5 0
<span>vertical angles
m<A = m<B
so
</span>4x - 10 = <span>6x - 30
6x - 4x = -10 + 30
2x = 20
x = 10

m<A = </span><span>4x - 10
</span>m<A = 4(10) - 10
m<A = 40 - 10
m<A = 30<span>

</span>
Dovator [93]3 years ago
5 0
If A and B are vertical angles, then A = B.  Thus, 4x - 10 = 6x - 30, and 10 = x.  Check:  Does 4(10) - 10 = 6(10) - 30?  Does 30 = 30?  YES.  So x = 10 is correct.  The measure of angle A is 30 degrees.
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The Miller family visited Mama's Kitchen and ordered 4 hamburgers and 3 medium fries and paid $13.27. James ordered a medium dri
ioda
Let's start out by setting up three separate equations for each customer.
d = cost of drink, f = cost of fries, h = cost of hamburger

Miller Family: 4h + 3f = 13.27
James: d + h + 2f = 6.33
Steven: 2h + f + d = 7.04

Since the Miller's didn't order any drinks, let's start by using substitution to find the cost of d between James and Steven.

Let's isolate d with James:
d + h + 2f = 6.33
d = 6.33 - h - 2f

Now let's plug that into Steven's equation:
2h + f + d = 7.04
2h + f + (6.33 - h - 2f) = 7.04
h - f + 6.33 = 7.04
h - f = 0.71
h = 0.71 + f

Let's plug that new h into the Miller Family's equation:
4h + 3f = 13.27
4(0.71 + f) + 3f = 13.27
2.84 + 4f + 3f = 13.27
2.84 + 7f = 13.27
7f = 10.43
f = 1.49

So medium fries cost $1.49

Let's plug f back into the Miller Family's equation to get h:
4h + 3f = 13.27
4h + 3(1.49) = 13.27
4h + 4.47 = 13.27 
4h = 8.8
h = 2.2

So a hamburger costs $2.20

Let's plug h and f into Steven's equation to calculate d

2h + f + d = 7.04
2(2.2) + (1.49) + d = 7.04
4.4 + 1.49 + d = 7.04
5.89 + d = 7.04
d = 1.15

So a medium drink costs $1.15

The answer is B. Drink = $1.15, Fries = $1.49, Hamburger = $2.20
5 0
3 years ago
Would the inequality symbol flip around or stay the same 2x-3&gt;5
meriva

Answer:

It would stay the same.

Step-by-step explanation:

You only switch it if you are dividing by a negative.

4 0
3 years ago
Read 2 more answers
What is (10+x)^2 ?????????????????
Lapatulllka [165]
(10+×)^2
expand
(10+x)(10+x)
multiply
100+10x+10x+x^2
add
100+20x+x^2
rearrange

x^2+20x+100
if this is what you mean this is the answer if you want to know what x is just set ()=0 and solve
x+10=0
x=-10
but I believe you are asking for the equation hope that helps let me know :)
4 0
3 years ago
I need help!!! please help me out as quick as possible
kvv77 [185]

Answer:

D

Step-by-step explanation:

Given

a_{n} = 4^{n-1}, then

a_{10} = 4^{(10-1)} = 4^{9} = 262144 → D

8 0
3 years ago
What is 9-4x=-23 what's the answer
svetlana [45]
Download Math-way it gives answer for those Type of questions hope this helps
6 0
3 years ago
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