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STatiana [176]
3 years ago
5

How do you solve this

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:

See below:

Step-by-step explanation:

So, the first step to solving the problem is to find out what type of triangle it is

and what rule of goemetry we can use to solve it.

Finding What Theorem We Can Use

So, the first step is to figure out what theorem we can use to solve the problem and how they can help us. By looking at it, we can see that it is an Isosceles Triangle due to the two sides being equal and 1 side not being equal.

One Theorem used on the Isosceles Triangle is the Base Angles Theorem. This states that the bottom two angles of the sides on the Isosceles triangle are equal to each other. So in this case if we letter the triangle A on the top, B as the Left, and C as the right. It would say this:

Since we know this rule, we can solve for the equation.

Solving

We can solve for this by using two things that we know:

+ Sum of all angles in a triangle is 180 degrees.

+ Bottom two sides are congruent.

Since we know that, we can solve for the answer:

1)

After solving, we know that x is 50 degrees!

Cheers!

(Feel free to comment a question if you didn't understand something!)

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The amount of water in a bottle is reduced by 15% to 119 milliliters. How much water was originally in the bottle? ________ ml
lakkis [162]
Answer: 140 ml

Explanation:

let x be the original amount of water

x - 15% = 119
But x = 100% because it’s the original
=> 100% - 15% = 119ml
85% = 119ml

Find the amount of water in 15%:
85% = 119
15% = y

=> 85/15 = 119/y

Cross multiply:
85y = 15 x 119
85y = 1785
y = 1785/85
y = 21

But y = 15% therefore, 15% = 21ml

Back to our equation:
x - 15% = 119ml
x - 21ml = 119ml
x = (119 + 21)ml
x = 140ml

Therefore, the original amount of water is 140ml
7 0
3 years ago
What is the slope of the line that contains the points (8, 3) and (8, 7)?
Anika [276]
The slope can be obtained by (y2 - y1) / (x2 - x1).  In this example, using the two points, we have
(7 - 3) /  (8 - 8 ) = 4 / 0.
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8 0
3 years ago
Joan and her brother Justin left a hotel at the same time, driving in opposite directions at constant rates. After traveling for
inessss [21]

Answer:

Joan drive with a speed of 55 miles per hour.

Step-by-step explanation:

Given:- Travelling time (t) = 4 hours.

Travelled distance (d) = 480 miles.

Speed of Justin is 10 miles per hour faster than Joan.

To find:- Speed of Joan = ?

Solution:-

Let speed of Joan be x,

therefore speed of Justin = x+10          ---------------(from given)

Now, Total speed of Joan and Justin = x+x+10

Total speed of Joan and Justin = 2x+10 ------------(1)

Now formula for speed is,

Speed = \frac{distance}{time}

2x+10=\frac{480}{4}                        -------------(from 1 and given)

2x+10=120

2x=120-10

2x=110

\therefore x=\frac{110}{2}

\therefore x= 55

as x is the speed of Joan,

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6 0
3 years ago
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9,220,000,000 in scientific notation
Roman55 [17]

Answer:

9.22×10^9

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The number must be written with

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- multiplied by a power of 10

The power of 10 tells you how many times you moved the decimal.

8 0
4 years ago
The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household. Super Sitters charges a
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