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Bumek [7]
3 years ago
13

Apply the properties of angles to solve for the missing angles. Angle y is what degrees. Angle x is what degrees.

Mathematics
2 answers:
Rudik [331]3 years ago
8 0

Answer: y = 52°. x = 64°

Step-by-step explanation:

y = 26 + 26 = 52 degrees ( exterior angle of a triangle is the sum of the two opposite interior angle of the triangle)

x = 180-(52+64)(sum of angles in a triangle is 180°)

x = 180-116

x = 64degrees ( base angles of an isosceles triangle are equal)

irina1246 [14]3 years ago
6 0

Answer:

y= 65 degrees. and x=30 degrees

Step-by-step explanation:

i haven't done this for a while so i may or may not be correct i tried to help though :)

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(3x²+3x+5)+(7x²-9x=8)=10x²-12x=13
Brilliant_brown [7]

The value of x is equal to -5/6

To solve this question, we have to add two polynomials together. The polynomials are;

  • 3x^2+3x+5
  • 7x^2-9x=8
<h3>Addition of Polynomials</h3>

This involves adding of two or more different polynomials together. The polynomials adding together are or must be of the same degree. i.e x^2 must add to another coefficient of x^2 and x^3 adds to another coefficient of x^3 and so on.

In this given question, let's add the polynomials together.

(3x^2+3x+5) + (7x^2-9x = 8\)\\3x^2 + 7x^2 + 3x-9x+5-8 =10x^2-6x-3

Now, let's equate this with the last polynomial given

10x^2-6x-3=10x^2-12x-13\\10x^2-10x^2-6x+12x-3+13\\0+12x+10\\12x=-10

Let's solve for x

12x=-10\\x=-\frac{10}{12}\\x = -\frac{5}{6}

The value of x is equal to -5/6

Learn more on addition of polynomials here;

brainly.com/question/4142886

8 0
2 years ago
I need help. Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (5 points)
Dahasolnce [82]

Five number summary and IQR of both the data sets are different.

For school A: Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17, IQR=9.5

For school B: Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19, IQR=7.5

No, the box plots are not symmetric.

Part A:

The given data sets are

School A : 9,14,15,17,17,7,15,6,6

School B : 12,8,13,11,19,15,16,5,8

Arrange the data in ascending order.

School A : 6,6,7,9,14,15,15,17,17

School B : 5,8,8,11,12,13,15,16,19

Divide each data set into four equal parts.

School A : (6,6),(7,9),14,(15,15),(17,17)

School B : (5,8),(8,11),12,(13,15),(16,19)

For school A:

Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17

The interquartile range of the data is

For school B:

Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19

IQR=Q_3-Q_1\\     =Q_3-Q_1\\     =16-6.2\\     =9.5

The interquartile range of the data is

IQR=Q_3-Q_1\\     =Q_3-Q_1\\     =15.5-8\\     =7.5

Part B:

The box plots are not symmetric because the data values are different. Five number summary and IQR of both the data sets are different.

To learn more about the symmetric visit:

brainly.com/question/1002723

#SPJ1

6 0
2 years ago
If m∠ABD= 48 and m m∠DBC= 78 find m∠ABC
Verdich [7]

Answer:

126 all you have to do is take the two measurements and add them together

6 0
3 years ago
Solve the equation. -11=1+3r+3
luda_lava [24]

Answer:

r = -5

Step-by-step explanation:

-11 = 1+3r+3

-11 = 3r + 4

3r = -15

r = -5

7 0
3 years ago
8 cars (3 red, 3 blue, 2 yellow) are parked in a line, how many arrangements can be formed if all the cars of each colour are id
Ronch [10]

Answer:

the answer is 18. There are 18 ways to arrange the cars.

4 0
3 years ago
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