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3 years ago

In the rhombus m<1=160. What are m<2 and <3? The diagram is not drawn to scale.

1 answer:

8 0

Since a rhomubs is a 4 sided quadrilateral when parallel lines intersect within we solve for the triangles that are the result of the intersecting lines m<2=10, m<3=10

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What is the equation in slope-intercept form of a line that is perpendicular to y=2x+2 and passes through the point (4, 3)?

andriy [413]

Answer:

$y = - \frac{1}{2} x + 5$

Step-by-step explanation:

<u>slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

Given line: y= 2x +2

slope= 2

The product of the slopes of perpendicular lines is -1. Let the slope of the unknown line be m.

m(2)= -1

m= -1 ÷2

m= -½

Substitute the value of m into the equation:

y= -½x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= 3,

3= -½(4) +c

3= -2 +c

c= 3 +2

c= 5

Thus, the equation of the line is y= -½x +5.

7 0

3 years ago

X=? Y=x+3 y=-2 pls help me

Vera_Pavlovna [14]

Answer:

-5

Step-by-step explanation:

x=? Y=x+3 ; y=-2

replace -2 with Y

-2 = x + 3

Then subtract 3 from both sides

-2 = x + 3

-3 -3

Then the positive and negative 3 cancels out leaving only

-5 = x

5 0

2 years ago

lines a and b are represented by the equations given below: line a: 6x 6y = 24 line b: x y = 4 which statement is true about the

KIM [24]

The equation of line a is obtained by multiplying the equation of line b by 4. i.e. there are linearly dependent and hence there are infinitely many solutions to the set of equations.

6 0

3 years ago

Calculate the amount and compound interest on Rs 5000 compounded annually or 2 years 6 months at the rate of 10% per annum.

cluponka [151]

Answer:

Amount

Rs 6345.30

Compound interest

Rs 1,345.30

Step-by-step explanation:

Here in this question, we are interested in calculating the amount and the compound interest on the value given.

To calculate the amount, we use the formula below;

A = P(1 + r/n)^nt

Where; A is the amount which we want to calculate

P is the principal which is Rs 5,000

r is the interest rate per annum = 10% = 10/100 = 0.1

n is the number of times per year in which it is compounded ( since it is annually, then it is 1)

t is the number of years which is 2.5 years( kindly know that 6 months is same 1/2 year , so 6 months is same as 0.5, and thus 2 years 6 months becomes 2.5 years)

now let’s substitute all these values;

A = 5000(1 + 0.1/1)^(1*2.5)

A = 5000(1 + 0.1)^2.5

A = 5000(1.1)^2.5

A = 6,345.2935314294

This is approximately Rs 6,345.30

The second part of the question asks to calculate compound interest

Mathematically ;compound interest = Amount - principal

= 6345.3 - 5000 = Rs 1,345.30

7 0

3 years ago

*100 POINTS*

Mice21 [21]

Answer:

y= -2/1x -4

Step-by-step explanation:

Hope it helped!

5 0

2 years ago

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