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Rama09 [41]
2 years ago
6

Answer the questions about congruent triangles.

Mathematics
1 answer:
Brrunno [24]2 years ago
3 0

Answer:

<B = <G

Step-by-step explanation:

ABC ≅FGH

<A = <F

<B = <G

<C = <H

because corresponding parts of congruent triangles are congruent

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The first two terms of an arithmetic sequence are 7 and 4. Find the 7th term.
kobusy [5.1K]

EXPLANATION

If the first two terms of an arithmetic sequence are 7 and 4, then we know that an arithmetic sequence has a constant difference d and is defined by

a_n=a_1+(n+1)d

Check wheter the difference is constant:

Compute the differences of all the adjacent terms:

d=a_{n+1}-a_n

Replacing terms:

4-7 = -3

The difference between all of the adjacent terms is the same and equal to

d = -3

The first element of the sequence is

a_1=7a_n=a_1+(n+1)d

Therefore, the nth term is computed by

d= -3

a_n=7+\text{ (n-1)}\cdot(-3)

Refine

d= -3 ,

a_n=-3n+10

Now, replacing n=7

a_7=-3\cdot7+10\text{ = -11}

So, the answer is -11.

8 0
1 year ago
3 digit largest number
leonid [27]

Answer:

999 is the largest three-digit number

Step-by-step explanation:

6 0
3 years ago
12. In PQR if mP is 14 less than five times x, mQ is five less than x, and mR is nine less
mash [69]

Answer:

Step-by-step explanation:

mP=5x-14

mQ=x-5

mR=2x-9

we know that all the angles in a triangle= 180

that means (5x-14)+(x-5)+(2x-9)=180

5x-14+x-5+2x-9=180  we add the variables and the numbers

8x=180+28

8x=108

x=26

mP=130-14=116

mQ=26-5=21

mR=43

6 0
2 years ago
What is the slope of this line?
Anvisha [2.4K]
(-4,5),(0,6)

slope = rise/run
tip... you have to crawl (run) before you run (rise) .

you can use the slope formula
\frac{5 - 6}{ - 4 - 0}  =   \frac{ - 1}{ - 4}  =  \frac{1}{4}
1/4
5 0
2 years ago
Look at The Picture Please Help!
BabaBlast [244]

Answer:

40%

Step-by-step explanation:

3/5x2=6/10

6/10x10=60/100

100-60=40

40%

5 0
3 years ago
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