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Rzqust [24]
3 years ago
7

Did I do it right??? Please respond.

Mathematics
1 answer:
Sedaia [141]3 years ago
8 0

Fraid not.  This time, you did it left.

The tool to use is "Vertical" angles are equal. (They don't add up to 180 degrees.)

3y + 120 = 5y + 100

(you should fill in the missing steps)

y = 10°

The upper/lower pair of vertical angles are both 150°.

.

2x = 6x - 60

(you should fill in the missing steps)

x = 15°

The left/right pair of vertical angles are both 30°.

It's any two angles NEXT TO each other that add up to 180°.

Notice here that (150° + 30°) = 180° .

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A two-digit number becomes 5/6 of the reversed number obtained when the digits are interchanged. The difference between the digi
stealth61 [152]
<h3>Answer:   54</h3>

==============================================

Work Shown:

T = tens digit

U = units digit (aka ones digit)

A number like 27 is really 20+7 = 2*10 + 7*1 = 10*2 + 1*7. We have 2 in the tens digit and 7 in the units digit. So 27 can be written in the form 10T + U where T = 2 and U = 7. Reversing the digits gives 72, so T = 7 and U = 2 now. Clearly the difference between the digits 7 and 2 is not 1, so 27 or 72 is not the answer (as it's just an example).

-----------------------

Let T be larger than U. This doesn't work if T = U.

Because T is larger, saying "The difference between the digits is 1" means T - U = 1. We can isolate T to get T = U+1. We'll use this later.

-----------------------

If T > U, then the original number 10T+U reverses to the new number 10U+T and it becomes smaller. We are told that it becomes 5/6 of what it used to be.

So,

new number = (5/6)*(old number)

10U + T = (5/6)(10T + U)

6(10U + T) = 5(10T + U)

60U + 6T = 50T + 5U

60U + 6(U+1) = 50(U+1) + 5U ... plug in T = U+1

60U + 6U + 6 = 50U + 50 + 5U

66U + 6 = 55U + 50

66U - 55U = 50-6

11U = 44

U = 44/11

U = 4 is the units digit of the original number

T = U+1

T = 4+1

T = 5 is the tens digit of the original number

The original number is therefore 10T + U = 10*5+4 = 54.

We see the difference in their digits is T-U = 5-4 = 1

The reverse of 54 is 45. The number 45 is 5/6 of 54

45 = (5/6)*54

7 0
3 years ago
Given that f(x) = 2x2 − 96, find x.
NISA [10]
F(x)=2x(2)−96

Step 1: Add -4x to both sides.

xf+ −4x = 4x−96+ −4x

xf −4x= −96

Step 2: Factor out variable x.

x(f−4)= −96

Step 3: Divide both sides by f-4.

x(f−4)/ f−4 = −96/ f−4

x= −96/f−4

Answer:

x= −96/ f−4

3 0
3 years ago
Read 2 more answers
Difference between x+5 and 2x+3
solniwko [45]
-x+8
I wrote out the problem above to my best knowledge

7 0
3 years ago
Simplify each expression.<br> 1) - 4x – 5(8 +4+)
Pepsi [2]
The answer is -4x-60
7 0
3 years ago
What is the value of 1 over 2 x+3.4y when x=3 and y = 4?​
gavmur [86]

Answer:

The value of the given expression is 27.1

Step-by-step explanation:

We are given an expression of two variable x and y.

We need to find the value of expression at x = 3 and y = 4

So first put x = 3 and y = 4 into expression and simplify

1/2 x 3 (3) + 3.4 x 4

➡️ 1/2 x 27 + 13.6

➡️ 27/2 + 13.6

➡️ 13.5 + 13.6

Now, add both of the numbers together. ( as an addition problem)

Therefore, when you ad the 2 together, you get the total of 27.1

8 0
3 years ago
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