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Naily [24]
3 years ago
6

I've been stuck on this for a little while now. Could anybody help?

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

Answer:

  7

Step-by-step explanation:

The arrows on the diagonal lines mean those lines are parallel. That means the triangles are similar, so corresponding sides have the same ratio.

There are many ways we can write the proportion expressing that fact. It is convenient to do so with the variable in the numerator:

  (3x -6)/12 = 10/8

Multiplying by 4, we have ...

  x -2 = 5

  x = 7 . . . . . . add 2

 

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Answer 5, 6 , and 7 by today please.
kherson [118]

Answer:

Step-by-step explanation:

5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2

   b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.

6. BD = DB  Reflexive property

    ∠3 = ∠5, ∠4 = ∠6  Alt. int. angles

    ΔADB = ΔCDB   ASA

7. AB = BC Def. of midpoint

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3 0
3 years ago
Jayden has $1.20 worth of nickels and dimes. He has twice as many nickels as dimes. Determine the number of nickels and the numb
melamori03 [73]

Answer:

Total number of dimes=6

Total number of nickels=12

Step-by-step explanation:

The expression for the total value of money Jayden has is;

Nickels have a value of= $0.05

Dimes have a value of= $0.10

Total value=(value of nickels×number of nickels)+(value of dimes×number of dimes)

where;

Total value=$1.20

Value of a nickel=$0.05

number of nickels=y, but y=2 x

Value of a dime=0.10

number of dimes=x

replacing;

1.20=(0.05×2 x)+(0.1×x)

0.1 x+0.1 x=1.2

0.2 x=1.2

x=1.2/0.2

x=6

y=2 x=2×6=12

Total number of dimes=6

Total number of nickels=12

7 0
3 years ago
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BaLLatris [955]

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Step-by-step explanation:

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Step-by-step explanation:

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8 0
3 years ago
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