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vfiekz [6]
3 years ago
14

What is the value of X?

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

The two given angles are vertical angles and equal each other:

3x + 50 = 6x -10

Now solve for x:

Subtract 3x from both sides:

50 = 3x -10

Add 10 to both sides:

60 = 3x

Divide both sides by 3

X = 20

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The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr
malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

A = \frac {b * h} {2}

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

b = 6 + 2h

Substituting we have:

88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0

We divide between 2 on both sides:

h ^ 2 + 3h-88 = 0

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

(h + 11) (h-8) = 0

We have two roots:

h = -11\\h = 8

We choose the positive value.

Thus, the base of the triangle is:b = 6 + 2 (8) = 22

Answer:

The base of the triangle is 22 units.

5 0
4 years ago
Read 2 more answers
PLSSSS HELPPP ITS DUE TODAYYY!!!!!
Allushta [10]

Step-by-step explanation:

In my opinion I would say about 40% Because you can see 7 red balls on the top and 6 on the bottom. Hope This Helps.

8 0
3 years ago
Shawna and amanda are selling pies for a school fundraiser. customers can buy cherry pies and pumpkin pies. shawna sold 1 cherry
Komok [63]
Let the cherry pies be c and the pumpkin pies be p:
Shawna: c + 3p = 55
Amanda: 3c + 3p = 69
We want to find the cost of c + p. To do this, the easiest way is to divide the second equation by 3:
(3c + 3p)/3 = 69/3
c + p = 23
Therefore, 1 cherry pie & 1 pumpkin pie cost $23.
8 0
4 years ago
How much would $500 invested at 3% interest compounded continuously be
77julia77 [94]

Answer:

d

Step-by-step explanation:

598.60

You are given the equation 

A(t) = P*e^(rt) 

Where P = Principal 

r = interest rate 

t = time 

e is a mathematical constant equivalent to approx 2.71828 

You're told the initial Principal is $500, the interest rate is 3%, over 6 years. So you have everything that you need to solve the problem, just plug in the values and solve for A(6) 

A(t) = P*e^(rt) 

A(6) = 500 * e^(0.03 * 6) 

A(6) = 500 * e^(0.18) 

A(6) = 500 * 2.71828^(0.18) 

A(6) = 500 * 1.19721 

A(6) = 598.60861 

So $500 invested 6 years ago at 3% would be worth $598.61 today.

5 0
4 years ago
A jet flies at a rate of 1.3x10 to the 6 feet per hour. Written in scientific notation, which is the best estimate of how many f
Semenov [28]
This is scientific notation

6 0
4 years ago
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