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Nana76 [90]
3 years ago
14

In Triangle ABC, AC is extended through C to D. If

Mathematics
1 answer:
DENIUS [597]3 years ago
8 0

Answer:

X  = 5 unit

Step-by-step explanation:

Given as , ABC is a Triangle ,

AC extended to through C to D

∠BAC = 6x + 10

∠ABC = 6x - 10

∠BCD = ∠ 8x + 20

When c extended to D then , ∠BCD is an external angle

∵ <u>External angle = Sum of opposite internal angles</u>

Or ,∠BCD = ∠BAC + ∠ABC

Or, ∠ 8x + 20 = 6x + 10 + 6x - 10

Or, ∠ 8x + 20 = 12x

Or, 12x - 8x = 20

∴ 4x = 20

So, x = \frac{20}{4} = 5

Hence the value of X = 5  unit  Answer

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At the end of year X, automobile installment credit accounted for 36 percent of all outstanding consumer installment credit. At
murzikaleks [220]

Answer:

option (c) 475

Step-by-step explanation:

let the automobile installment credit be 'C'

Given:.

Automobile installment credit accounted for 36 percent of all outstanding consumer installment credit

Now,

57 billion is \frac{1}{3} of automobile installment credit

or

57 billion = \frac{1}{3} × C

or

C = 57 × 3

or

C = 171 billion

now,

installment credit accounted = 36% of all outstanding consumer installment credit

or

171 billion = 0.36 × all outstanding consumer installment credit

or

All outstanding consumer installment credit = $475 billion

Hence, the correct answer is option (c) 475

4 0
3 years ago
Please solve this literal equation for the variable "f"
Tatiana [17]
\frac{df+10}{6}= g

Now, multiply both sides by 6 and you get.....

 df+10=6g

now, subtract 10 on both sides and you get.....

df=6g-10

now divide both sides by d to get f by itself and you get........

f= \frac{6g-10}{d}

8 0
3 years ago
Find the inequality represented by the graph. Thanks!<br><br> (plz no spam...)
nikitadnepr [17]

Answer:

y > (1/3)x - 3.

Step-by-step explanation:

The graph of a line can be written in y = mx + b form where b is the y-intercept and m is the slope.

In the image, the slope of the graph from the given points is 1/3.

In the image, the y-intercept is -3.

Therefore, the line is y = (1/3)x -3. However, we aren’t done yet! This is an inequality, not an equation!

We see the line isn’t dotted, so that means it must be > or <.

We substitute the point (0,0) into the line equation we got and find that 0 > (1/3)(0) - 3 = -3. Since (0,0) is part of the inequality, we have that y > (1/3)x - 3.

I hope this helps! :)

6 0
3 years ago
Read 2 more answers
Five friends Al, Bet, Cat, Don, and Ella live on the island where everyone is either a knight or a knave
nalin [4]

Answer:

?

Step-by-step explanation:

what am i tryign to solve here

8 0
3 years ago
Need help on this question
sergey [27]
Total Area: T.A.=2*Ab+Al

Area of the base: Ab=p*K

Semi-perimeter of the base: p
p=P/2
Perimeter of the base: P=20
p=P/2=20/2→p=10
Ab=p*k=10*K→Ab=10K

Lateral Area of the prism: Al
Al=P*h
Height of the prism: h=6
Al=P*h=20*6→
Al=120

T.A.=2*Ab+Al
T.A.=2*(10K)+120
T.A.=20K+120
T.A.=120+20K

Answer: (120+20K)



7 0
3 years ago
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