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pickupchik [31]
3 years ago
15

Tom had 50 baseball cards . he kept 10 for himself and shared the rest equally among his 8 friends . how many baseball cards did

each friend get ?
Mathematics
1 answer:
Irina18 [472]3 years ago
5 0
(50 - 10) / 8 = .......
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Please find the exact length of the midsegment of trapezoid JKLM with vertices J(6, 10), K(10, 6), L(8, 2), and M(2, 2). Thank y
I am Lyosha [343]

Answer:

the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

Step-by-step explanation:

From the diagram attached below; we can see a graphical representation showing the mid-segment of the trapezoid JKLM. The mid-segment is located at the line parallel to the sides of the trapezoid. However; these mid-segments are X and Y found on the line JK and LM respectively from the graph.

Using the expression for midpoints between two points to determine the exact length of the mid-segment ; we have:

\mathbf{ YX = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }

\mathbf{ YX = \sqrt{(8-5)^2+(8-2)^2} }

\mathbf{ YX = \sqrt{(3)^2+(6)^2} }

\mathbf{ YX = \sqrt{9+36} }

\mathbf{ YX = \sqrt{45} }

\mathbf{ YX = \sqrt{9*5} }

\mathbf{ YX = 3 \sqrt{5} }

Thus; the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

8 0
3 years ago
Quando existe, dizemos que a solução de um sistema de equações lineares é o conjunto ordenado de números que satisfaz todas as e
QveST [7]
X representa o numero das suas respostas certas.
y represnta o numero das suas respostas erradas.
O total de perguntas <span>é 25, portanto
x + y = 25

Agora tratamos do dinheiro.
Come</span>ça com <span>R$ 500,00
Pelas x respostas certas, recebe 200x.
Pelas y respostas errads perde 150y.
O total de dineheiro inicial mais os ganhos menos as perdas s</span>ão iguais a
R$ 600,00, portanto
500 + 200x - 150y = 600
200x - 150y = 100
20x - 15y = 10

Temos um sistema de duas equações com duas variaveis.

<span>x + y = 25</span>
20x - 15y = 10

      15x + 15y = 375
+    20x - 15y = 10
---------------------------
       35x         = 385
           x         = 11

x + y = 25

11 + y = 25

y = 14

Resposta: Errou 14 perguntas.


5 0
3 years ago
How do you find the f(x) inverse using fractions?
fenix001 [56]
For example.. 1) switch places of x and y. x=3y+1 x=3 y +1
2) try to solve for y. so multiply the denominator by x to get rid of it
3) after multiplying, ur left with xy+x=3 x y + x=3
4) that converts to 2xy= x y =3
5) get rid of 2x on left by placing it on the right
6) convert y to inverse function
4 0
3 years ago
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.
never [62]

Answer:

Triangles ABC and MNO are similar by SSS

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

In this problem

If this problem the corresponding sides are

AB and MN

BC and NO

AC and MO

Verify if the corresponding sides are proportional

\frac{AB}{MN}=\frac{BC}{NO}=\frac{AC}{MO}

substitute the given values

\frac{5}{7.5}=\frac{5}{7.5}=\frac{8}{12}

0.67=0.67=0.67 ----- is true

so

When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity

therefore

Triangles ABC and MNO are similar by SSS

8 0
3 years ago
Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
STatiana [176]

<em>Note:</em><em> You missed to add some of the details of the question. </em>

<em>Hence, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.</em>

<em></em>

Answer:

Please check the explanation.

Step-by-step explanation:

Given the right angled-triangle ABC as shown in the attached diagram

From the triangle:

Ф= ∠C = 30°

AB = 6 units

BC = y

tan Ф = opp ÷ adjacent

The opposite of ∠C = 30°  is the length '6'.

The adjacent of ∠C = 30°  is the length 'y'.

As Ф= ∠C = 30°

so

tan Ф = opp ÷ adjacent

tan 30 = 5  ÷ y

1 ÷ √3 = 5  ÷ y

y = 8.7 units

Therefore, the length of the unknown side length 'y' is 8.7 units.

7 0
2 years ago
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