If angle 1 and angle 7 are vertical angles and angle 1 and angle 2 are supplementary adjacent and the measure of angle 2 is 123 degrees. what is the measure of angle 7?

Answers

Answer 1

Answer: Answer: m∡7 = 57° .
_________________________________

Explanation:
____________________
m∡7 = m∡1 ; SInce these angles are vertical; and vertical angles are congruent.

m∡1 + m∡2 = 180 ; since these angles are supplementary; and by definition; supplementary angles "add up" to 180.

Given: m∡2 = 123 ;

m∡1 + 123 = 180 ;

Since m∡1 = m∡7 ; and we wish to find: "m∡7" ; we can rewrite as:
_______________________________
m∡7 + 123 = 180 ; solve for "m∡7" ;
_______________________________
Subtract "123" from EACH SIDE of the equation:
_________________________________________
m∡7 + 123 - 123 = 180 - 123 ;
_________________________________________
m∡7 = 57° .
_________________________________________

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The value of a car depreciates by 18% per year. Work out the current value of a car bought 4 years ago for £20000

Answers

Given:
depreciation rate: 18%
Value of the car : 20,000
Age of the car : 4 years.

The depreciation is based on the current value of the car. Therefore, the amount of depreciation varies.

yr Beginning Value Dep. Rate Depreciation Ending Value
1   20,000.00   18% 3,600.00 16,400.00
2   16,400.00   18%      2,952.00    13,448.00
3   13,448.00   18% 2,420.64 11,027.36
4   11,027.36   18% 1,984.92 9,042.44

The current value of a car bought 4 years ago is 9,042.44

Beginning value : purchased amount on 1st year. then, ending balance of the previous year from 2nd year onwards.
Depreciation : Beginning value * depreciation rate
Ending value : Beginning value - depreciation

20000 = 100%18 x 4 = 72%20000 / 100 = 200200 = 1%200 x 72 = 14,40020000 - 14,400 = 5600The value of it now should be £5600

It’s geometry I need help

Answers

Answer: Parallel

Y=x will be on the point of the graph
Y= x+2 will be two units up but still positive so they will never interest

Step-by-step explanation:

Hey there!!

Let's check!

The equation are:

y=x

x - y = 0......(i).

y = x+2

x - y +2 =0......(i).

From equation (i).

$slope(m1) = ( - coeff. \: of \: x)/( coeff. \: of \: y)$

$m1 = ( - 1)/( - 1)$

Therefore the slopeof 1st equation is 1.

Now,

From 2nd equation.

$slope(m2) = ( - coeff. \: of \: x)/(coeff. \: of \: y)$

$m2 = ( - 1)/( - 1)$

Therefore the slope of equation 2 is 1.

As per the condition of parallel lines,

m1= m2

From both equation we got,

m1=m2=1

So, the lines are parallel.

For perpendicular,

m1×m2 = -1

1×1 is not equal to -1.

So, they are not perpendicular.

So,TheanswerisOptionA.

Hopeit helps....

Help me please again

Answers

The answer is C.
x=2
y=-30
(2;-30)

On august 1st, a plant was 79 centimeters tall. in june of that year it grew 12 centimeters, then 9 more centimeters in july. how many centimeters tall was it on june 1st?a.67
b.70
c.100
d.5

Answers

Answer: d. 58

The height of the plant in June 1st is 58 centimeters.

Step-by-step explanation:

Given : On August 1st, a plant was 79 centimeters tall.

In June of that year it grew 12 centimeters, then 9 more centimeters in July.

Order of Month = June → July → August

Then , the height of the plant on June 1st would be

Height in August 1st - Height grew in June - height grew in July

= 79-12-9 centimeters

= 67-9 centimeters

= 58 centimeters

Therefore , the height of the plant in June 1st = 58 centimeters

Hence, the correct answer is d. 58

Evaluate 4d + 9e – 14 for d =7 and e = 3.
The value of the expression is
Plzzz help

Answers

Answer:

$\huge{ \boxed{ \bold{ \tt{41}}}}$

Step-by-step explanation:

$\text{Given} :$ $\text{d \: = 7 \:, e = 3}$

$\text{To \: find : The \: value \: of \: given \: expression}$

$\text{Solution : }$

$\text{4d + 9e - 14}$

Plug the value of d and e

$\text{⇢ \: 4 ∗ 7 + 9 ∗ 3 - 14}$

Multiply the numbers

⇢ $\text{ \: 28 + 27 - 14}$

Add the numbers : 28 and 27

$\text{⇢ \: 55 - 14}$

Subtract 14 from 55

$\text{⇢ \boxed{ 41}}$

Hope I helped!

Best regards! :D

~ $\text{TheAnimeGirl}$

We are interested in the dimensions of a certain square. A rectangle has length twice the side of this square and width three units less than the side of this square. If the two areas are equal, what are the square's dimensions (w x h)?

Answers

We don't need the length AND width of the square. One number
will be enough for an answer, because all sides of a square have
the same length. Let's call that number ' M ' (for 'mystery number').

-- The area of the square is M² .

The question says that ...
-- The length of the rectangle is 2M .
-- The width of the rectangle is (M - 3) .

Therefore ...
-- The area of the rectangle is (2M)(M - 3) = 2M² - 6M .

The question also says that ...
-- The areas of the square and the rectangle are equal:

So 2M² - 6M = M²

Subtract M² from each side: M² - 6M = 0

Divide each side by M : M - 6 = 0

Add 6 to each side : M = 6 .

Check:

Assume ... Side of the square = 6

Then ...
Area of the square = 6² = 36 .
Length of the rectangle = (6 x 2) = 12
Width of the rectangle = (6 - 3) = 3
Area of the rectangle = (12 x 3) = 36

36 = 36 yay!

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