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grigory [225]
4 years ago
14

James is two years younger than twice his sister Kate’s Age. Together their ages add up to 19.

Mathematics
1 answer:
MaRussiya [10]4 years ago
6 0

Answer: James is 12, while Kate is 7

Step-by-step explanation:

X + (2X-2) = 19

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Given ABCD is a parallelogram ABE equals 180° CBE is congruent to CEB prove DAE is congruent to CEA
katrin2010 [14]

Answer:

The proved is given below.

Step-by-step explanation:

Given ABCD is a parallelogram and also ∠ABE equals 180°, ∠CBE ≅ ∠CEB

We have to prove that ∠DAE ≅ ∠CEA

As ∠CEA=∠CBE  →  (1)

and given  ABCD is a parallelogram implies AD||CB

∴ ∠DAE=∠CBE  → (2)  as these are corresponding angles.

From equation (1) and (2), we get

∠DAE=∠CEA

Hence,  ∠DAE is congruent to ∠CEA

Hence Proved

6 0
3 years ago
Emma needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 5
USPshnik [31]

Answer:

115

Step-by-step explanation:

5\color{red}{x}+\color{blue}{168}=

5x+168=

\,\,\color{purple}{743}

743

-\color{blue}{168}\phantom{=}

−168=

\,\,-\color{blue}{168}

−168

Subtract 168 from both sides

5\color{red}{x}=

5x=

\,\,575

575

\frac{5\color{red}{x}}{5}=

5

5x

​

=

\,\,\frac{575}{5}

5

575

​

Divide both sides by 5

\color{red}{x}=

x=

\,\,\boxed{\color{red}{115}}

115

​

5 0
3 years ago
Write 5(1.25)^-x standard form with steps
gizmo_the_mogwai [7]

Answer:

Ste4

×

y

=

4

×

(

1

4

x

−

5

)

4

y

=

(

4

×

1

4

x

)

−

(

4

×

5

)

4

y

=

(

4

×

1

4

x

)

−

20

4

y

=

1

x

−

20

Next step is to move the  

x

term to the left side of the equation by subtracting  

1

x

from each side of the equation:

−

1

x

+

4

y

=

−

1

x

+

1

x

−

20

−

1

x

+

4

y

=

−

0

−

20

−

1

x

+

4

y

=

−

20

Now, to make the coefficient of  

x

positive we need to multiply both sides of the equation by  

−

1

−

1

×

(

−

1

x

+

4

y

)

=

−

1

×

−

20

(

−

1

×

−

1

x

)

+

(

(

−

1

×

4

y

)

=

20

1

x

−

4

y

=

20

or

1

x

−

4

y

=

20p-by-step explanation:

4 0
3 years ago
In this figure triangle BAE is congruent to triangle DEA. Which statement is true by CPCTC?
Vsevolod [243]
The correct answer is the last option
5 0
3 years ago
Read 2 more answers
Help with Geometric Functions please
aliina [53]
So
a. so 100-1/10 of 100 or 100-10=90
then second dose minus 10% or 90-9=81
third dose 81 minus 10%=81-8.1=72.9
fourth dose 72.9 minus 10% or 72.9-7.29=65.61

so after 4th dose only 65.61% are left

b. so to get it to 5% you do alot and find that it takes 27 tries to get the percent down to 5.2% and 28 doses to get it to 4.7%
5 0
3 years ago
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