Johnny and Mark's combined age is 26 years old. Johnny is two years older than twice Mark's age. Write a system of equations and solve for each of their ages

Answer:

again i can not see the given point

Step-by-step explanation:

9514 1404 393

Answer:

  ∠E = ∠A = 34°; ∠AFB = ∠DFE = 107°-34° = 73°

Step-by-step explanation:

Here's where I'd go next.

73° (∠EDA) is exterior to ΔDAC, so is the sum of remote interior angles A and C. That is, ...

  ∠C + ∠A = 73°

  ∠C = 73° -∠A = 73° -39° = 34°

Triangle CBE is given as isosceles, so its base angles C and E are congruent, both 34°.

Exterior angle CDF is the sum of remote interior angles DEF and DFE, so we have ...

  107° = 34° +∠DFE

  ∠DFE = 107° -34° = 73°

The angle we just found (∠DFE) is a vertical angle with ∠AFB, so has the same measure.

  ∠AFB = 73° . . . . vertical angle with ∠DFE

_____

In summary, it looks like we have added some steps to the derivation:

  4. ∠A = 34° . . . . exterior angle theorem (∠A +39° = 73°)

  5. ∠E = ∠A = 34° . . . . definition of isosceles triangle

  6. ∠DFE = 73° . . . . exterior angle theorem (∠E +34° = 107°)

  7. ∠AFB = 73° . . . . vertical angles

_____

Additional comment

Any sort of math problem solving has you work from what you know to what you need to know by making use of previously learned relationships between the bits of information you have. Here, you really only need to know (a) angles of a linear pair total 180°; (b) angles in a triangle total 180°; (c) angles opposite congruent sides in a triangle are congruent. Everything we claim above can be concluded using these facts. The various theorems we used are simply shortcuts that allow you to bypass intermediate steps in the problem-solving process.

Answer:

Multiple answers would work

Step-by-step explanation:

From the subtraction sign before the 18x, we can infer that one of the equations has a negative number. So, know we have this:

(x-?) (x+?)

There are multiple answers this could be,

(x-18) (x)

(x-20) (x+2)

You get where I am going...

If you went with the first on (x-18) (x), then you wouldn't have to add anything.

(x-20) (x+2) = x^2 - 18X - 40.

To be honest this one stumped me. Some just have multiple answers. My guess is that you have to fill out the boxes so maybe the first answer wouldn't work.

Sorry I couldn't give a concise answer. Though their probably is one obivious answer that I am missing.

Answer:

I think its 16, 32, or 36.

Step-by-step explanation:

Because I set it up like 2/100 = x/18 and then do the math

Answer:

C. 7*7*7*7*7

Step-by-step explanation:

7^5 is multiplying 7 5 times

Step-by-step explanation:

We need to write the sum of 2x - 7 and the opposite of 2x

Opposite of 2x is (-2x)

Sum means to add the number :

2x-7 + (-2x)

Remove parentheses,

2x-7 - 2x

Taking like terms together,

2x-2x-7= 0-7

= -7

Hence, the answer is -7.

Answer:

one solution:  x = -3,  y = 26

Step-by-step explanation:

3x + y = 17

x + 2y = 49

If you multiply the first equation by -2 and then add you will eliminate the 'y' term

-2(3x + y) = -2(17)

  -6x - 2y = -34

+    x + 2y = 49

   -5x = 15

     x = -3

-3 + 2y = 49

2y = 52

y = 26

Answer:

y=4/5x

Step-by-step explanation:

Answer: y= 4x + 6 Not sure but hope this help

Step-by-step explanation:

Answer: (-3, 0)

Step-by-step explanation:

I am including a picture that explains. Hope this helps!

Answer:

42

Step-by-step explanation:

Answer:

481.5

Step-by-step explanation:

The music art museum is divided into 6 sections

Each section contains the same timert of tiles

There are 2889 tails total

Therefore the number of tiles in each section can be calculated as follows

= 2889/6

= 481.5

Hence there are 481.5 tiles in each section

Answer:

C. x < –1

Step-by-step explanation:

What is the solution of x + 6 < 5?

A. x < 11

B. x > 11

C. x < –1

D. x > –1

-1+6<5

but you need less than 5 so

x<-1

Answer: D is located at point (-3, -4)

Answer:

9.34

Step-by-step explanation:

add 6 then mulitiply 11-1 xC=9.34

Answer:

m∠b = 92 ; m∠c = 92

Step-by-step explanation:

∠b and ∠c both form supplementary angles with the 88° angle. I'll just choose b in this instance.

b + 88 = 180

b = 92

Now we know that ∠b is 92°.

Moreover, ∠c and ∠b are known as vertical angles meaning they are equivalent to each other. Therefore, ∠c is also 92°

Answer:

63.75

Step-by-step explanation:

12.75 times 5

Answer:

x=6 is not a solution

Step-by-step explanation:

We can substitute 6 as x to find out:

5(6-3)=6+13

first, because of PEMDAS we'll do 6-3

5(3)=6+13

multiply 5 by 3 and add 6 and 13

15=19

Since the statement is not true, that means that x=6 is not a solution

Hope this helps!

Answer:

heyy

the answers "20"

Step-by-step explanation:

Okay using the x that we have we find 40 and plug that into the graph and we have 20 :p

Answer:

71/100

Explanation:

As you can see, the decimal ends at the hundredths place, so the fraction is 71/100. Its simple! If the number end at the tenths, hundredths, or thousandths, just take that number and do it like this! 38/1,000

Hope this helped! ;)

Answer:

140 shells. So, C

Step-by-step explanation:

Let x equal the total number of shells in Stanley's collection. Then,

.35 x = 49

x = 49 / .35

x = 140

Answer:

[tex]m(\widehat{WXZ})[/tex] = 160°

Step-by-step explanation:

By angle sum postulate,

m∠WYX + m∠XYZ = m∠WYZ

m∠WYZ = 50° + 30°

              = 80°

Since, inscribes angle (∠WYZ) = [tex]\frac{1}{2}\times (\text{Intercepted arc WXZ})[/tex]

80° = [tex]\frac{1}{2}(\widehat{WXZ})[/tex]

[tex]m(\widehat{WXZ})[/tex] = 160°

Answer:

l × b is the correct answer for this question

Answer:

2/3

Step-by-step explanation:

Answer:

311

Step-by-step explanation:

Please give me brainliest and thank me

Answer:

311

Step-by-step explanation:

31+37+41+43+47+53+59=311

please mark me as brainliest, i'd really appreciate it!<3

Answer:

-4x - 2y

Step-by-step explanation:

Hope it works

Answer:

Step-by-step explanation:

−1(4x+2y)

=(−1)(4x+2y)

=(−1)(4x)+(−1)(2y)

=−4x−2y            

Hope this helps u out

Answer:

15 cm

Step-by-step explanation:

6x5 divide by 2

Answer:

15 cm^2

Step-by-step explanation:

Answer:

l

Step-by-step explanation:

Answer:

1) a2 = h2 + x2

✔ Pythagorean theorem

2) h2 = a2 - x2

✔ Rearrange the previous statement

3) c2 = h2 + (b-x)2

✔ Pythagorean theorem

4) c2 = h2 + b2 -2bx + x2

✔ Expand (b – x)2

Step-by-step explanation:

The Pythagorean Theorem could be represented mathematically as follows, Here, c represents the length of the hypotenuse (the longest side), or b or a are the lengths of the other 2 sides. From the equation, you can easily find the value of the 1 side if you have the values of the other 2

1) a2 = h2 + x2

Pythagorean theorem

2) h2 = a2 - x2

Rearrange the previous statement

3) c2 = h2 + (b-x)2

Pythagorean theorem

4) c2 = h2 + b2 -2bx + x2

Expand (b – x)2

Learn more about Pythagorean theorem here https://brainly.com/question/14504604

#SPJ2

Answer:

-7

Step-by-step explanation:

You could take out a factor of -7.

-7t²/-7 = t²

-42t/-7 = 6t

-49/-7 = 7

So the GCF is -7.