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taurus [48]
3 years ago
6

If ∠BAC ≅ ∠DCA, is ABE ≅ CDE? Explain.

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Answer:

The answer is A.

Step-by-step explanation:

It is A because both sides match up except for the last pair, where they are the same. Hope this helped!

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X + 7y = 21<br> x + 4y = 15<br> Solve the simultaneous equations
Mariulka [41]

<u>Answer</u>:

x = 7, y = 2

<u>Explanation</u>:

equations given:

x + 7y = 21

x + 4y = 15

make "x" the subject:

x + 7y = 21

x = 21 - 7y .........equation 1

x + 4y = 15

x = 15 - 4y .......equation 2

Solving both the equations simultaneously:

15 - 4y = 21 - 7y

-4y + 7y = 21 - 15

3y = 6

y = 6 ÷ 3

y = 2

If y is 2

Then x = 21 -7y;

x = 21 - 7(2)

x = 21 - 14

x = 7

8 0
2 years ago
Read 2 more answers
Find the equation of the line through (6,4) and (-3,-8)
alexdok [17]

Answer:

y = 4/3x - 4

Step-by-step explanation:

to find the equation of a line with 2 points, we use the slope formula which is:

\frac{y_2-y_1}{x_2-x_1}

we will use (6,4) as x_1[tex] and [tex]y_1 and we will use (-3,-8) as x_2[tex] and [tex]y_2. we plug this into the slope formula:

\frac{-8-4}{-3-6}

-8 - 4 = -12

-3 - 6 = -9

the slope is \frac{-12}{-9}

but we can simplify this further by dividing the fraction by -3

-12 / -3 = 4

-9 / -3 = 3

the simplified version of the slope is \frac{4}{3}

we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope

y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)

4 = 4/3(6) + b < multiply 4/3 x 6

4 = 8 + b < subtract 8 from both sides

-4 = b

our y intercept would be (0,-4)

the equation looks like the following:

y = 4/3x - 4, which is our answer

3 0
3 years ago
Name the Solid.
Soloha48 [4]

Answer:

Pyramid

V= 240 m^3

Step-by-step explanation:

The volume of a pyramid is 1/3 the Base times the height.

1/3x(10x8)x9

7 0
2 years ago
What is the solution to the system of equations?
sukhopar [10]

Answer:

(x, y) = (-3, -6)

Step-by-step explanation:

The second equation can be used to write an expression for y:

... -5x -21 = y . . . . . . . add y-21 to both sides

This expression can be substituted for y in the first equation:

... 6 = -4x +(-5x -21)

... 27 = -9x . . . . . add 21, collect terms

... -3 = x . . . . . . . divide by -9

Using this value of x in the expression for y, we find ...

... -5(-3) -21 = y = -6

The solution is x = -3, y = -6.

8 0
3 years ago
Describe the next figure in each pattern. Then draw the figure
madreJ [45]
The first figure has 3 angles, the second one has 4 angles, the third one has 5 angles so the next one will have 6 angles.

The violet figures inside stick with each side of the outer figures in the middle, so the last figure will look more less like in the attachment.

6 0
3 years ago
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