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adell [148]
3 years ago
9

Anyone know? A. 99 B. 100 C. 121 D. Cannot be determined

Mathematics
1 answer:
Verizon [17]3 years ago
6 0

Since, it is given that the pentagon ABCDE is congruent to pentagon FGHIJ.

By being congruent, the corresponding angles and sides are equal.

Therefore, \angle A = \angle F, \angle B = \angle G, \angle C = \angle H, \angle D= \angle I, \angle E = \angle J.

By using \angle A = \angle F

So, 100^\circ = \angle 1

Therefore, the measure of angle 1 is 100 degrees.

So, Option B is the correct answer.

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What is the image of ( − 5 , 4 ) (−5,4) after a reflection over the line y = x y=x?
balandron [24]

Answer:

(4,−5)

Step-by-step explanation:

7 0
2 years ago
Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 a
maxonik [38]

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

18.75= 1.25x +3.75y

Multiply the whole equation by 4 to remove the decimals:

75= 5x +15y

Simplify by dividing the whole equation by 5:

15 = x + 3y

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

\begin{tabular}{|c|c|c|c|} \cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}

x +3y= 15 -----(2)

x= -3y +15

\begin{tabular}{|c|c|c|c|} \cline{1-4}x &  -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

8 0
3 years ago
Read 2 more answers
complete the steps to find the quotient of 492 ÷ 6. enter your answer in the space.step 1( ___÷6) +(180÷ 6)+( ____÷ 6) step 2 __
uranmaximum [27]
I'll go thru the problem and then you fill in the blanks yourself.
          
            8   2
    ________
6 /   4   9   2
     - 4   8
   -----------------
             1  2
              1 2
       --------------
                 0

8 0
3 years ago
Read 2 more answers
Can some help with this problem
lys-0071 [83]

Answer:

x+115=180 x=65

90+65+y=180 y=25

Step-by-step explanation:

5 0
3 years ago
What is the answer to this? Please help!
Alja [10]

Answer:

3-(X) +2 -(Y)

Step-by-step explanation:

5 0
3 years ago
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