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3 years ago

15

If angle ABC=2x and angle CBD=4x and they are a linear pair, solve for x

1 answer:

Pie3 years ago

4 0

2x+4x=180(linear pair)
->x=30

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Lyme disease is an inflammatory disease that results in a skin rash and flulike symptoms. It is transmitted through the bite of

neonofarm [45]

Answer:

Step-by-step explanation:

Let cases of Lyme disease = x

x = 2, 1, 3, 4, 5, 1, 2, 1, 6, 5, 4, 1

$\sum x = 35$

$\sum x^2 = 139$

y = 0, 1, 2, 1, 3, 5, 2, 3, 3, 3, 1, 0

$\sum y = 24$

$\sum y^2 = 72$

$\sum xy = 55$

$S_{xx} = \sum x^2 - (\sum x)^2/n\\S_{xx} = 139 - 35^2/12\\S_{xx} = 36.92\\S_{yy} = \sum y^2 - (\sum y)^2/n\\S_{yy} = 72 - 24^2/12\\S_{yy} = 24$

$S_{xy} = \sum xy - ( \sum x \sum y)/n\\S_{xy} = 55 - (35*24)/12\\S_{xy} = -15$

b) Linear correlation between Lyme disease and drowning deaths.

$r = \frac{S_{xy}}{\sqrt{S_{xx}S_{yy}} }$

r = -15/ √(24*36.92)

r = -0.504

3 0

3 years ago

1). Linear Combination (SHOW WORK)

Georgia [21]

Answer:

Part 1) The solution of the system of equations is (2,-5)

Part 2) The solution of the system of equations is (2,4)

Step-by-step explanation:

Part 1) Linear combination

we have

$3x+2y=-4$ -----> equation A

$4x-y=13$ -----> equation B

Multiply equation B by 2 both sides

$2(4x-y)=2*13$

$8x-2y=26$ -----> equation C

Adds equation A and equation C

$3x+2y=-4\\8x-2y=26\\-------\\3x+8x=-4+26\\11x=22\\x=2$

Find the value of y

$3(2)+2y=-4$

$2y=-4-6$

$2y=-10$

$y=-5$

The solution of the system of equations is (2,-5)

Part 2) By graph

$y=(1/2)x+3$ -----> equation A

$-3x+y=-2$ -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

Using a graphing tool

The intersection point is (2,4)

therefore

The solution of the system of equations is the point (2,4)

see the attached figure

8 0

3 years ago

Find the equation of the line that contains the point (1, 1) and is perpendicular to the line y = -1/4x + 4. Write the equation

RUDIKE [14]

Okay I seriously don’t see a picture or anything but use Math-papa-algebra - calculator it helps sooooo much this is seriously not an add it shows graphs and other stuff

8 0

3 years ago

PLEASE HURRYYYY ITS DUE SOON

denis-greek [22]

It’s the third one 9(5+1)

As 9 x 5 = 45
9x 1 = 9

7 0

3 years ago

Read 2 more answers

What is the expression 6k + 50.5 equal to? How do you write this equation?

vivado [14]

Answer:

$\huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}$

$6k + 50.5 = 0 \\ 6k = - 50.5 \\ k = \frac{ - 50.5}{6} \\ k = - 8.4166..$

$\huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}$

7 0

3 years ago