MATHEMATICS HIGH SCHOOL

In the quadrilateral ABCD, ABIDC. Complete the table below. 9.2.2 Statement (3 Reason corr. As and AB || DC alt. cs and AB | DC​

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

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Write an equation of the parabola in intercept form that passes through (−18, 72) with x-intercepts of −16 and −2.

Answers

y = a(x + 16)(x + 2)

72 = a(-18 + 16)(-18 + 2)

72 = a(-2)(-16)

72 = a(32)

(72)/(32) = a

(9)/(4) = a

Answer: y = (9)/(4)(x + 16)(x + 2)

Find the result when 90 is decreased by 35%.
58.5
75.6
60.5
78.5

Answers

In this question, it's asking you to find the number when 90 is subtracted by 35%. So, you find 35% of 90 which is 31.5 and you minus it from 90 = 58.5.

> 90 x 35% = 31.5
> 90 - 31.5 = 58.5

Divide £56 in a ratio of 4:3

Answers

÷you need to find how many parts there are ;    4 + 3 = 7

you then need to divide the number by the parts ; £56  ÷  7   =  £8

1 part = £8

4:3, 4 parts : 3 parts.   

   4  x  £8   =  £32

   3  x   £8  =  £24

                                            4:3     =     £32:£24

to check your answer ;

add both parts of your final answer , £32 + £24  =   £56
4+3=7
 56/7 = 8 
4 x 8 is 32 
3 x 8 is 24 
The answer is  £32 and £24.
Hope this helps you!! =')

What pairs of polygons are congruent

Answers

They are congruent because when they have the same number of sides, and all corresponding sides and Interior angles are congruent. They can have the same size and shape, but on image can be mirrored or rotated and it always remain congruent :) 

Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?

Answers

y=mx+b
x=number of newspapers
37.5 earned for 5 newspapers
37.5=5m+b

earned 75 and deliverd 20 newpapers
75=20m+b

we have

37.5=5m+b and
75=20m+b
multiply first equaiton by -1 and add to other equaiton

-37.5=-5m-b
75=20m+b  +
37.5=15m+0b

37.5=15m
divide both sides by 15
2.5=m

sub back to find b
75=2.5(20)+b
75=50+b
minsu 50 both sides
25=b

y=2.5x+25 is lnear funtion

The linearfunction is y=2.5x+25

What is linear function?

A linear function is a function whose graph is a straightline, that is, a polynomial function of degreezero or one.

As, we know equation of line

y=mx + b

x=number of newspapers

37.5=5m+b...............(1)

also,

75=20m+b....................(2)

Solving (1) and (2) , we get

37.5=15m

m=2.5

and, 75=2.5(20)+b

75=50+b

b= 25

Hence, y=2.5x+25 is linear function.

Learn more about this concept here:

brainly.com/question/21107621

#SPJ5

The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 less than the original. Find the original number.

Answers

I did another one just like this about an hour ago.  I did it the elegant, tedious way,
and it took about 2 feet of screen.  Then I realized there was a totally bourgeois but
easy way to do it.  For 5 points, I'll give you the method for the masses:

List all the possible pairs of digits that add up to 9, along with their flips:

18 . . . . . 81
27 . . . . . 72
36 . . . . . 63
45 . . . . . 54

Do you see any pair that are different by 27 ?
How about 36 and 63 ?

So the original number is 63, and when you flip it, it becomes 36, which is 27 less.
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