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Natali5045456 [20]
3 years ago
10

Justify your reasoning

Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

You can conclude that ΔGHI is congruent to ΔKJI, because you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K).

We also know that we have two congruent sides, since it provides the information that line GK bisects line HJ, meaning that they have been split evenly (they have been split, with even/same lengths).

<u><em>So now we have three congruent angles, and two congruent sides. This is enough to prove that ΔGHI is congruent to ΔKJI,</em></u>

<u><em /></u>

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Jane wishes to have 20,000 available at the end of 10 years so she deposit money into an account that pays 1.14% compounded mont
max2010maxim [7]

Answer:

\$17,846.12  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ A=\$20,000\\ r=0.0114\\n=12  

substitute in the formula above  

\$20,000=P(1+\frac{0.0114}{12})^{12*10}  

P=\$20,000/[(1+\frac{0.0114}{12})^{120}]  

P=\$17,846.12  

5 0
3 years ago
Choose the equation that is equivalent to this statement. 9090 is 70% of x.
Zolol [24]
9090 is 70% of 12,985.7143
5 0
3 years ago
Use the table to work out the values of a , b , c , and d .​
scZoUnD [109]

Answer:

a = - 1, b = - 3, c = - 5, d = - 6

Step-by-step explanation:

Substitute the appropriate values of x into the equation and evaluate

x = - 3 : y = - (- 3) - 4 = 3 - 4 = - 1 → a

x = - 1 : y = - (- 1) - 4 = 1 - 4 = - 3 → b

x = 1 : y = - 1 - 4 = - 5 → c

x = 2 : y = - 2 - 4 = - 6 → d

3 0
2 years ago
Read 2 more answers
Will mark brainliest if correct :)
Finger [1]

Answer:

d = 12

c = 4

so I think d > c

Step-by-step explanation:

1 x 12 = 12

0.75 x 4 = 3

12 + 3 = 15

8 0
3 years ago
$150 for repair, $50 per week after repair to operate. X=#of weeks and y=total cost. Equate using slope-intercept form
Cloud [144]

Answer:

y=150+50x

Step-by-step explanation:

Given data

Repair= $150

weekly charge = $50

X=#of weeks and y=total cost.

Hence the expression in slope-intercept form is

y=150+50x

8 0
3 years ago
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