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4vir4ik [10]
2 years ago
13

Can someone help me out on these geometry questions? Its urgent, gotta have answers fast

Mathematics
1 answer:
almond37 [142]2 years ago
6 0

5) Transitive property of equality

6) Addition property of equality

7) Subtraction property of equality

8) Division property of equality

9) Multiplication property of equality

10) Transitive property of congruence

11) Substitution property of equality

12) Addition property of equality [add XY to both sides then use segment addition postulate]

13) Subtraction property of equality [subtract XY from both sides then use segment subtraction postulate]

14) Angle addition postulate

15) Addition property of equality [add angle 2 to both sides then use angle addition postulate]

16) Transitive property of equality

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Factorise x squared + 4x + 3 ​
olganol [36]
<h3>Answer:  (x+1)(x+3)</h3>

===================================================

Explanation:

Let's assume it factors into (x+a)(x+b)

The goal is to find the two numbers a and b.

FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab

Note how a+b is the middle term and ab is the last term.

In the original expression, 4 is the middle term and 3 is the last term.

So we need to find two numbers that

  • add to 4
  • multiply to 3

There are two ways to multiply to 3 and they are

  • 1 times 3 = 3
  • -1 times -3 = -3

But only the first way has the factors add to 4. So that means a = 1 and b = 3.

Therefore (x+a)(x+b) = (x+1)(x+3)

And x^2+4x+3 = (x+1)(x+3)

8 0
3 years ago
Jeff uses 3 fifth-size strips to model 3/5. He wants to use tenth-size strips to model an equivalent fraction. How many tenth-si
sergiy2304 [10]
Sixteen. For the fraction 6/10 which is equivalent to 3/5
4 0
3 years ago
Read 2 more answers
Use long division or synthetic division to find the quotient of 2x^3+x^2+1 / x+1
gogolik [260]

Answer:

The quotient is 2x^2 - x + 1.

Step-by-step explanation:

If x + 1 is the divisor in long division, then -1 is the divisor in synthetic division:

-1   /   2    1    0    1

              -2    1    -1

    ----------------------

       2      -1     1    0

The quotient is 2x^2 - x + 1.  The coefficients were obtained through synthetic division.

7 0
2 years ago
Which algebraic expression represents “the difference of fifty-four and seven times a number”? 54 minus 7 n StartFraction 54 Ove
VMariaS [17]

Answer: 54-7n

Step-by-step explanation:

When we talk about mathematical language, the <u>difference </u>between two numbers, quantities or terms is the <u>substraction operation.</u>

For example, the <u>difference</u> between a and b is:

a-b

On the other hand, if we read a numer c <u>times</u> a number n, this means both numbers are multiplied.

For example:

c <u>times</u> n is:

(c)(n)

So, according to the explained above, “the difference of fifty-four and seven times a number n” is:

54-7n

8 0
3 years ago
Read 2 more answers
An automobile travels 140 miles in 4 hours. Find the average rate of speed
katen-ka-za [31]

Answer:

35mph

Step-by-step explanation:

divide 140/4=35

7 0
2 years ago
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