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Zielflug [23.3K]
3 years ago
6

Two adjacent angles of a rhombus as in the ratio 2:3. Eind all the a angles of the rombus​

Mathematics
2 answers:
Tomtit [17]3 years ago
6 0

Answer:

Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.

Step-by-step explanation:

weeeeeb [17]3 years ago
4 0

Answer:

Let the adjacent angles of the rhombus be 2x and 3x.

we know that the sum of the measures of the adjacent angles is equal to 180°.

2x+3x=180

=5x=180

=x=180/5

=x=36°

Hence,AB =BC=2×36°=72°

AD=DC=3×36°=108°

Hence,The angles of the rhombus are 72°,108°, 72°and108°.

I hope it's helpful!

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Solve each equation for x. 1.3x + 9x = 6x + 42​
Vlad [161]

Answer:

Just use a calcultor...

Step-by-step explanation:

7 0
3 years ago
The value of a car is 18,500. It loses 10.3% of its value every year. Find the approximate monthly decrease in value. Round your
valentina_108 [34]

Answer:

$158.8

Step-by-step explanation:

There are 12 months in 1 year.

If in 1 year, it looses value of 10.3%, so in a month it will loose value of:

10.3%/12 = 0.8583% per month

So, to find the decreased value (in dollars) per month, we got to find 0.8583% of 18,500 dollars.

First, we need to convert percentage to decimal by dividing by 100. Then we multiply that to 18,500 to get our answer. So:

0.8583% = 0.8583/100 = 0.008583

Now,

0.008583 * $18,500 = $158.7855

Rounded to nearest tenth (1 decimal pae) = $158.8

6 0
4 years ago
A walking path across a park is represented by the equation y= -3x - 6 . A new path will be built perpendicular to this path. Th
Romashka [77]

Answer:

The equation that represents the new path is y=(1/3)x+4

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=-3x-6

so

the slope m is equal to

m=-3

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

so

we have

m=-3 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/3

step 3

With m=1/3 and the point (-3,3) find the equation of the line

y-y1=m(x-x1)

substitute

y-3=(1/3)(x+3)

y=(1/3)x+1+3

y=(1/3)x+4 -----> equation that represent the new path

8 0
3 years ago
Emma buys packets of coloured beads.
Nataliya [291]

Answer:

yes

Step-by-step explanation:

5p

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4b

3 0
4 years ago
Read 2 more answers
How to write (-2,-1) and (2,7) in y=mx+b form
nasty-shy [4]

y = 2x + 3

the equation of a line in slope-intercept form is

y = mx + b ( m is the slope and b the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁) = (- 2, - 1) and (x₂, y₂) = (2, 7)

m = \frac{7+1}{2+2} = \frac{8}{4} = 2

y = 2x + b ← is the partial equation

to find b substitute either of the 2 points into the partial equation

using (2, 7 ), then

7 = 4 + b ⇒ b = 7 - 4 = 3

y = 2x + 3 ← in slope-intercept form


5 0
4 years ago
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