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kow [346]
3 years ago
9

Three interior angles of a quardilateral have measures of 100 degress, 120 degress, and 80 degress. Find the foourth angle measu

re.
Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

60 degrees

Step-by-step explanation:

100+120+80+x=360

300+x=360

x=60

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Write an equation of a line parallel to line EF in slope-intercept form that passes through the point (2, 6).
irakobra [83]

its y= -2/3x + 22/3

if you look below at the graph you can see the black line which is C goes right through the point (2,6)

i wanted to clear any confusion because the other answer isnt correct :)!

7 0
3 years ago
Solve for x in the equation X2-8x+41 = 0 -
djverab [1.8K]

Answer:

The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D  

Step-by-step explanation:

Given equation as :

x² - 8 x + 41 = 0

For quadratic equation  ax² + b x + c = 0

The value of x = \frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}

∴ For equation x² - 8 x + 41 = 0

Or,                x = \frac{8\pm \sqrt{-8^{2}-4\times 1\times 41}}{2\times 1}

Or,                x = \frac{8\pm \sqrt{-100}}{2}

Or,                x = \frac{8\pm 10i}{2}

∴                  x = ( 4 + 2 i ) , ( 4 - 2 i )

Hence The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D     Answer

7 0
4 years ago
What is the circumference of a circle with diameter of 10.4 cm?
bekas [8.4K]

The circumference of a circle:

2丌r

In this case, the radius:

10.4÷2

=5.2cm

The circumference

=2兀(5.2)

=2(5.2)兀

=10.4兀

Therefore the answer is 10.4兀.

Hope it helps!

5 0
3 years ago
An account with an initial balance of $4,000.00 and a 3% interest rate has a balance of $4,121.66 at the end of one year. What i
Gekata [30.6K]

The effective annual yield is 3.04%

What is effective annual yield?

Effective annual yield is the rate of return that considers the frequency of compounding, in other words, the number of times in a year that interest on the balance is compounded.

The easiest way to determine the effective annual yield in this case is to compare the end of the year balance with the initial balance at the start of the year

effective annual yield=(ending balance/initial balance)-1

ending balance=$4,121.66

initial balance=$4000

effective annual yield=($4,121.66/$4000)-1

effective annual yield=3.04%

Another way to determine the effective annual yield is use the below formula which considers that interest rate is 3% compounded monthly, in other words, n, the frequency of compounding is 12

EAR=(1+r/n)^n-1

r=3%

n=12

EAR=(1+3%/12)^12-1

EAR=3.04%

Find out more on effective annual yield on :brainly.com/question/3125221

#SPJ1

6 0
2 years ago
What is the midpoint of EF If E has the coordinates of (2,4) and F has coordinates of (6,8)
allsm [11]

Answer:

\boxed {\boxed {\sf (4,6) }}

Step-by-step explanation:

The midpoint formula is:

(\frac{{x}_{1}+{x}_{2}}{2},\frac{{y}_{1}+{y}_{2}}{2} )

where (x₁, y₁) and (x₂, y₂) are the points are the endpoints.

We are given the points: (2,4) and (6,8). Therefore,

x_1=2\\y_1=4 \\x_2=6 \\y_2=8

Substitute the values into the formula.

(\frac{2+6}{2},\frac{4+8}{2})

Find the x coordinate first.

  • Add 2 and 6: 2+6=8
  • Divide by 2: 8/2=4

(4, \frac{4+8}{2})

Find the y-coordinate next.

  • Add 4 and 8: 4+8= 12
  • Divide by 2: 12/2=6

(4,6)

The midpoint of EF is (4,6)

4 0
3 years ago
Read 2 more answers
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