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Sladkaya [172]
3 years ago
8

State of the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statemen

t
​

Mathematics
1 answer:
Flura [38]3 years ago
8 0

Answer:

D. Similar, AA similarity, ΔSCD

Step-by-step explanation:

CD and RQ are parallel.  Therefore, ∠Q and ∠D are corresponding angles, and ∠R and ∠C are also corresponding angles.  Corresponding angles are congruent.

Therefore, by AA similarity, ΔSRQ ~ ΔSCD.

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Find the roots. 2x ^2 + 4x - 5 =0
Vinvika [58]
Literally the roots equal 0. Is that “X” or the multiplication sign? Because I did it with “X” and it gave me “0”
5 0
3 years ago
Show that 4x - x? – 7 is always<br> negative.<br><br><br><br><br> Help
Verizon [17]

                                          <em>Question No 7</em>

Answer:

Please check the explanation.

Step-by-step explanation:

Show that 4x - x² - 7 is always negative.

Given

4x - x² - 7

4x - x² - 7 is always negative because:

  • -x²-7 will alwas be negative for all the values of x,
  • The value of  - x² - 7 will always be less than 4x for all the values of x

Hence, 4x - x² - 7 is always negative

For example,

let suppose we enter x = 1

4(1)-1^{2} -7\\=4-1-7\\=4-8\\=-4

let suppose we enter x = -1

4(-1)-(-1)^{2} - 7\\= -4 - 1 - 7\\= -12

6 0
3 years ago
The product of two consecutive odd intergers is 1 less than four times thier sum. Find the two integers.
seraphim [82]
Consecutive odd integers are 2 apart
they are x and x+2
the product (x times (x+2)) is 1 less than  4 times their sum

x(x+2)=-1+4(x+x+2)
x^2+2x=-1+4(2x+2)
x^2+2x=-1+8x+8
x^2+2x=8x+7 minus (8x+7) from both sides [tex]x^2-6x-7=0
factor
what  numbers multliply to get -7 and add to get -6?
-7 and 1
(x-7)(x+1)=0
set equal to 0
x-7=0
x=7

x+1=0
x=-1

so the x can be 7 or -1
the other number (x+2) can be 7 or 1

test each

7 and 9
7(9)=-1+4(7+9)
63=-1+4(16)
63=-1+64
63=63
true


-1 and 1
-1(1)=-1+4(-1+1)
-1=-1+4(0)
-1=-1+0
-1=-1
true



the 2 integers can be 7 and 9 or -1 and 1 (both pairs of numbers work)
3 0
2 years ago
-. A businessman plans to retire in 30 years. As part of his retirement plan, he has
stepladder [879]

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

A = P(1 + \frac{r}{100})^{t}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 8000(1 + \frac{6}{100})^{30}

A = 8000(1 + 0.06)^{30}

A = 8000(1.06)^{30}

A = 8000(5.7435)

A = $45948

7 0
2 years ago
What if we say that x's value is 2. Do 2x and x to the second power have the same value?
Basile [38]
Yes. Substitute 2 for x.

We have
2x=2(2)=2^2=4
x^2=2^2=2(2)=4
8 0
3 years ago
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