please help me asap!!

Given :

Since all sides are equal triangle ABC is congruent to triangle DEF under the SSS congruence criterion.

m∠B = (92+y)°

m∠E = (6y-28)°

We know that :

Which means :

[tex] = \tt92 + y = 6y - 28[/tex]

[tex] =\tt 92 = 6y - 28 - y[/tex]

[tex] =\tt 92 = 5y - 28[/tex]

[tex] = \tt92 + 28 = 5y[/tex]

[tex] = \tt120 = 5y[/tex]

[tex] =\tt y = \frac{120}{5} [/tex]

[tex] =\tt y = 24[/tex]

Thus, the value of y = 24

Then :

angle B :

[tex] =\tt 92 + y[/tex]

[tex] =\tt 92 + 24[/tex]

[tex] = \tt116[/tex]

Thus, the measure of angle B = 116

angle E :

[tex] = \tt6y - 28[/tex]

[tex] =\tt 6 \times 24 - 28[/tex]

[tex] =\tt 144 - 28[/tex]

[tex] =\tt 116[/tex]

Thus, the measure of angle E = 116

Since the measure of both these angles is equal we can conclude that we have found out their correct measures.

measure of segment AC = 2x + 47

Measure of segment DF = 6x + 3

Which means :

[tex] = \tt6x + 3 = 2x + 47[/tex]

[tex] = \tt6x + 3 - 2x = 47[/tex]

[tex] = \tt4x + 3 = 47[/tex]

[tex] \tt4x = 47 - 3 \\ 4x = 44[/tex]

[tex] =\tt x = \frac{44}{4} [/tex]

[tex] =\tt x = 11[/tex]

Thus, the value of x = 11

Let us check whether or not we have found out the correct value of x by placing 11 in the place of x :

[tex] = \tt6 \times 11 + 3 = 11 \times 2 + 47[/tex]

[tex] =\tt 66 + 3 = 22 + 47[/tex]

[tex] =\tt 69 = 69[/tex]

Answer:

i dont really know the question

Step-by-step explanation:

Answer: 9

[tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{4} }{2a^{5} }[/tex]

but [tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{m} }{2a^{n} }[/tex]

=> m = 4

    n = 5

=> m + n = 4 + 5 = 9

Step-by-step explanation:

Answers:

x = 18

y = 6

==========================================================

Explanation:

Focus on triangle TRS. This triangle has congruent base angles as shown by the double arcs. This means that the sides opposite these angles (TR and RS) are congruent. So TR = RS.

Because RS = 11, this makes TR = 11 too.

Now move onto triangle UTR. This triangle is equilateral because each angle is the same measure (each angle being 60 degrees).

So UT and TR are the same length, and,

UT = TR

x-7 = 11

x-7+7 = 11+7

x = 18

--------------

Since every angle of triangle UTR is 60 degrees, this makes angle URT 60 degrees and angle TRS to be 180-60 = 120 degrees.

Move back to triangle TRS. We have these interior angles:

For any triangle, the interior angles always add to 180

R+T+S = 180

120+5y+5y = 180

10y+120 = 180

10y = 180-120

10y = 60

y = 60/10

y = 6

Answer:

Hey! 18 x + 28y is your answer

Step-by-step explanation:

Have a nice day! :)

Answer:

4. Given

6. Definition of verticle angles

7. Algebra/part-whole-postulate/sum of interior angles in a triangle/CPTCTC (Corresponding parts of congruent triangles are congruent)

Step-by-step explanation:

number 4 is just...given because it shows that they're both right angles

6, it's literally the definition of verticle angles

7, since we know that angle TQU and angle RSU are congruent and angle QUT and SUR are congruent, if we subtract those from 180, that means those two angles also have to be congruent

Also, the two triangles are congruent by LA or ASA, so CPCTC would also work

Part-whole-postulate, same reasoning as algebra.

Sum of interior angles in a triangle, same as algebra.

Hope this helped, let me know if you have any questions.

Answer:

10.95x + 12.57 = 89.22

Step-by-step explanation:

Answer:

1) 3 shirts for $8.

2)0.6 miles per minute

3) $13.75

Answer:

hello

Step-by-step explanation:

i think 10.4 shirts for 15$

11. 50/30=1.6

12. 5×2.75$=13.75$

hope it helps

have a nice day

bye

Answer:

C

Step-by-step explanation:

the anderton is between 9 and 13

Answer:

B

Step-by-step explanation

Answer:

Ángulo de 125 grados Cómo se llama

Este ángulo es obtuso porque 120 es un número mayor que 90 y menor que 180. Es decir, la amplitud de este ángulo mide entre los 90º y los 180º: 90º < 120º < 180º.

Step-by-step explanation:

The initial value of a function is the value of the function, when x = 0

The initial value of the function is -2.

The function is given as:

[tex]\mathbf{f(x) = 0.5^x - 3}[/tex]

To calculate the initial value, we simply substitute 0 for x.

So, we have:

[tex]\mathbf{f(0) = 0.5^0 - 3}[/tex]

Evaluate the exponents

[tex]\mathbf{f(0) = 1 - 3}[/tex]

Subtract 3 from 1

[tex]\mathbf{f(0) = - 2}[/tex]

Hence, the initial value of the function is -2.

Read more about functions at:

https://brainly.com/question/16863582

Answer:

See picture

Step-by-step explanation:

Answer:

1935

Step-by-step explanation:

Trust me

There are 1,935 peoples attending were supporters of the home team.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The total number of people attending the game = 4500

At a football game, 43% of people attending were supporting the home team.

And, 57% were supporting the visiting team.

Now,

Since, The total number of people attending the game = 4500

Hence, Number of supporters of the home team = 43% of 4500

                                                                           = 43/100 x 4500

                                                                           = 1,935

Thus, There are 1,935 peoples attending were supporters of the home team.

Learn more about the percentage visit:

https://brainly.com/question/843074

#SPJ2

Answer:

6 pages

Step-by-step explanation:

3/4 = 8 = 2 = 1/2 = 3/4 / 8 = 6

This is confusing to understand but that's how I solved it.

Answer:

Dwight David Eisenhower

Answer:

Dwight D. Eisenhower is the 34th president of America. He served as president for 2 terms, from 1953 to 1961.

Answer:

using the 1/2 ^x will let u make -3 into -1.5 and using that to multiply 3 would equal -4.5 now u have to minus the 1/2^x which is 0.5 and therefore it is four and next to the x u have 2 which means ur point is (2,-4)

Step-by-step explanation:

explained it up there

Answer:

x + 5+x+7+Х=42units

3x=42-12

x=30/3

x=10

Answer:

[tex]2 \frac{2}{5} [/tex]

[tex] \frac{12}{5} [/tex]

Step-by-step explanation:

As a mixed fraction, There are 3 circles with 5 pieces in each so our denominator will be 5

The number that is shaded is 2 whole circles so that is 10 and 2 out of 5 of last one.

The whole number is 2 and the fraction for the last circle is 2/5 so our mixed number is

[tex]2 \frac{2}{5} [/tex]

Now to find the improper fraction turn 2 into a fraction with 5 as a denominator.

[tex] \frac{2}{1} \times \frac{5}{5} [/tex]

Which equal

[tex] \frac{10}{5} [/tex]

Then add 2/5 to 10/5

[tex] \frac{10}{5} + \frac{2}{5} = \frac{12}{5} [/tex]

Answer:

D is a translation

Step-by-step explanation:

It moves down vertically instead of rotating

Answer:

62.83 inches

Step-by-step explanation:

The circumference of a circle with a radius of 10 is 62.83.

Answer:

50.2cm

Step-by-step explanation:

16/sin(65)=17.65 (2 of those)

16/tan(65)=7.46 (base)

17.65+17.65+7.46=50.23

Answer:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Step-by-step explanation:

Step(i)

Given that the system of equations

                 x-y = 6 ..(i)

                y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

        x -(2x-5) =6

       x -2x+5 =6

           -x = 6-5

           -x =1

            x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

       y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

Answer:

Step-by-step explanation:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Step-by-step explanation:

Step(i)

Given that the system of equations

                x-y = 6 ..(i)

               y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

       x -(2x-5) =6

      x -2x+5 =6

          -x = 6-5

          -x =1

           x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

      y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

Answer:

The eight test

Step-by-step explanation:

The sequence is

65, 69, 73, 77, 81, 85, 89, 93

Answer:

-1

Step-by-step explanation:

equation:

3(5-4)-4(5-4)

3*5-3*4 -4*5-4*-4

15-12-20+16

3-4

-1

Answer:

z = -3/2 , z = -1/2

Step-by-step explanation:

Given:

7z² + 8z + 3 = 3z²

Find:

Values of z

Computation:

7z² + 8z + 3 = 3z²

7z² + 8z + 3 - 3z² = 0

4z²+ 8z + 3 = 0

4z²+ (6+2)z + 3 = 0

4z²+ 6z + 2z + 3 = 0

2z(2z + 3) + 1(2z + 3) = 0

(2z + 3)(2z + 1) = 0

So,

z = -3/2 , z = -1/2

Answer:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 3x - 5[/tex]

Required

Find f(x + h) - f(x)

In functions:

[tex]f(x + h) = f(x) + f(h)[/tex]

So:

[tex]f(x + h) - f(x) = f(x) + f(h) - f(x)[/tex]

Collect Like Terms

[tex]f(x + h) - f(x) = f(x) - f(x)+ f(h)[/tex]

[tex]f(x + h) - f(x) = f(h)[/tex]

Solving for f(h)

[tex]f(h) = h^2 + 3h - 5[/tex]

So:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

1. √2 ≈ 1.414, √3 ≈ 1.732. The only rational numbers listed are 1.5 and 1.8. Of those, only 1.5 falls in the required range.

__

2. The remainder theorem tells you the remainder from the division will be the value of the dividend when x is -1/2. (x = -1/2 makes the divisor zero.) That value is ...

  8x²(x² -1) +7 = 8(1/4)(1/4 -1) +7 = 2(-3/4) +7 = 14/2 -3/2 = 11/2

__

3. The x-coordinate of 0 means the point lies on the y-axis.

__

4. Filling in the values of x and y, you find k to be ...

  2(2) +3(-1) = k = 1