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Ulleksa [173]
3 years ago
7

Solve the problem.

Mathematics
1 answer:
kondaur [170]3 years ago
8 0

Answer:

417

Step-by-step explanation:

bc i said so

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Triangle ABC is translated to create triangle DFG, as shown below.
Anton [14]

Answer:

x=3

y = 9

Step-by-step explanation:

Given

The translated triangles

Required

Find x and y

We have:

AB = DF

BC = FG

AB = DF means:

3(2x + 10) = 12x + 12

Open bracket

6x + 30 = 12x + 12

Collect like terms

12x - 6x = 30 -12

6x = 18

Divide by 6

x=3

BC = FG means

2y + 12 = 2(2y - 3)

Open bracket

2y + 12 = 4y - 6

Collect like terms

4y - 2y = 12+6

2y = 18

Divide by 2

y = 9

5 0
3 years ago
What is 5/7 minus 1/2 equal to in like units
WARRIOR [948]

Answer:

3/14

Step-by-step explanation:

5/7 minus 1/2 is 5/7 - 1/2

5/7 and 1/2 are both called proper fractions. 5 and 1 in each fraction are called the numerator while 7 and 2 are called denominators

5/7 - 1/2

Step one

Find the lowest common multiple (LCM) of the denominators of each fractions

Multiples of 7

7 x 1 = 7

7 x 2 = 14

7 x 3 = 21

Multiples of 2

2 x 1 = 2

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

2 x 5 = 10

2 x 6 = 12

2 x 7 = 14

The lowest common multiple of 2 and 7 is 14

Step 2

The LCM of 2 and 7 becomes the common denominator for both fractions.

14/7 = 2

14/2 = 7

5/7 - 1/2 = [2(5) - 7(1)]/14 = (10 - 7)/14

= 3/14

8 0
3 years ago
5a - 2b -3 + 2b - 6a simplify the expression and then write an equivalent expression. Please anyone help me it's my first questi
svet-max [94.6K]

Step-by-step explanation:

simplify the expression into like terms

so 5a-2b-3+2b-6a (add all a and b together)

this will make

-a-3

I know how to do the equivalent sorry :(

3 0
3 years ago
Read 2 more answers
If n lines are drawn in a plane, how many regions do they separate the plane into? induction
grandymaker [24]
Hello,

Let's assume i the number of lines,
 u(i) the number of regions:

u_0=1\\\\
u_1=2=1+1=1+u_0\\\\
u_2=4=2+u_1\\\\
u_3=7=3+u_2\\\\
u_4=11=4+u_3\\\\
u_5=16=5+u_4\\\\
...\\\\
\boxed{u_{n+1}=(n+1)+u_{n}}\\\\

u_{n+1}=(n+1)+n+(n-1)+...+1+u_0\\\\

\boxed{u_{n+1}= \dfrac{(n+1)*(n+2)}{2}+1 }
6 0
3 years ago
What the fraction of 0.13
elixir [45]

Answer:

13/100

Step-by-step explanation:

3 0
2 years ago
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