the legs of an isosceles triangle have lengths 3x-1 and 2x+4. The base has length 3x+5. Whatis the length of the base?

The two triangles have a pair of corresponding sides as well as the

included angles between them that are equal.

Justin could prove that ΔDEH ≅ ΔFGH by A. SAS

Reason:

The known information are;

DF bisects GE, therefore; GH = EH

GE bisects DF, therefore; DH = FH

∠DHE = ∠FHG by vertical opposite angle theorem

Therefore;

DH and EH in triangle ΔDEH = FH and GH in triangle ΔFGH

∠DHE in triangle ΔDEH = ∠FHG in triangle ΔFGH

Therefore, two sides and an included angle triangle in ΔDEH are equal to (congruent) to the corresponding two sides and an included angle in ΔFGH.

Therefore;

ΔDEH ≅ ΔFGH by SAS, Side-Angle-Side congruency theorem

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The answer would be SAS

Step-by-step explanation: SAS

Answer:

u = 3

Step-by-step explanation:

-4 = 3 - 7

Answer:

3/2 or 1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

y = mx + c

m = the slope

2y = 3x + 4

y = 3x + 4 / 2

y = 1.5x + 2

slope = 1.5

Answer:

the Day falls one day after every year which means that this one will fall on a

Step-by-step explanation:

wedsnday

Answer:

(B/h)(1/2) - k = s

2 CUPS OF WATER FOR 3 CUPS OF FLOUR

SO 1 CUP = 1.5 water

SO MULTIPLY AND FIND THE ANSWER

Answer:

Excact Form

Decimal Form

Mixed Number

Step-by-step explanation:

To add fractions, find the least common denominator and then combine

Answer: Horizontal Line

Step-by-step explanation:

Joy is correct. This is a horizontal line. It has the same y coordinates so it will be a horizontal line.

Joy is saying correct by saying it is a horizontal line.

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.

Given:

coordinates (-9, 4) and (6,4)

If we plot these point on the graph it will have the y- coordinates same for both coordinates.

Also, if the graph have same y- coordinates then the line joining these points are horizontal in nature.

Hence, Joy is saying correct by saying it is a horizontal line.

Learn more about coordinates here:

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#SPJ5

Answer:

How do you find a quadratic regression from points?

Image result for using quadratic regression what parabola uses the points (4,80), (-3,-11), (-1,-15)?

Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax2 + bx + c, where a can never equal zero

Step-by-step explanation:

Answer:

=-2(5/11)-7(1/11)

=-10/11-7/11

=(-10-7)/11

=-3/11

Answer:

(36.4+18.7)x22.3/2 = 614.365

Step-by-step explanation:

up+downxheight/2

Answer:

-34

Step-by-step explanation:

you would first solve it like a normal equation and ignore the negative;

0.5 * 4 is 2

8 * 4 is 32

32 + 2 = 34

and then you would add the negative sign- because there is only one side with a negative sign, it is negative

if the equation had both sides had a negative, it would be positive

Answer:

c lines

Step-by-step explanation:

The correct answer is B/the second option.

The reason is that you can find slope by doing y2-y1/x2-x1, however x1 was put before x2 and therefore the slope was wrong. Good luck !! :)

Answer:

5/12

Step-by-step explanation:

It goes up 5 and over 12.

Answer:

If you are asking for its improper fraction form then it is 100/3

Step-by-step explanation:

33*3 (3 is the denominator) = 99

1/3 + 99/3 = 100/3

You can not divide 100 by 3 (and get a whole number), and therefore it can not be simplified  anymore and is the lowest possible term for fractions.

Ex. 2/4 can be simplified to 1/2 but 3/4 can not be simplified anymore.

Another example:

12 1/4

12*4 = 48

1/4 + 48/4 = 49/44

Answer:

(0,-1); (0,-2); (2,0); (2,-2)

Step-by-step explanation:

when rotating 180 degrees all the points have their coordinate sign's flipped.

so the points go from:

(0,1) --> (0,-1)

(0,2) --> (0,-2)

(-2,0) --> (2,0)

(-2,2) --> (2,-2)

so your new shape will have the points (0,-1); (0,-2); (2,0); (2,-2)

Step-by-step explanation:

Think of it this way what if an exponent had 1 so like 10^1

that still equals 10, and does not change anything, so you need to add one more to the exponent as the first number does not change how many types the number is multiplied. Hope this helps

Answer:

5/9t-27-(1/9t+21)=0

Answer:

Mr. Jones would have 21 total pencils.

Answer:

42

Step-by-step explanation:

multiply 14 times 3

9514 1404 393

Answer:

  Definition of midpoint

Step-by-step explanation:

The statement you're trying to justify is one that relates two line segments. (It says they're congruent.) This does not involve angles or triangles, and no addition of length is involved. The only reasonable choice on the list (and the correct one) is ...

  Definition of midpoint

__

A midpoint is a point that divides a line segment into two congruent parts. Since W is said to be the midpoint (given), it must divide UV such that UW ≅ VW, the statement we're trying to justify.

Answer:

The distributive property.

Answer:

No

Step-by-step explanation:

1/2 times 1/2 = 1/4

Answer: y= -3x + 16

Step-by-step explanation:

I'm assuming that you mean a linear equation

So the first thing that you want to do is find the slope for the line.

1-(-2) / -3 - 6= -9/3= -3

Now that you have the slope you can pick one of the points to plug in.

-2 = -3(6) + b

We don't know what the y intercept is so we'll need to solve for that.

-2= -18 + b

add -18 to -2

16=b

so your equation will be

y= -3x + 16

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Work Shown:

[tex]a^2 + b^2 = c^2\ \text{ ... pythagorean theorem}\\\\4^2 + x^2 = \left(\sqrt{65}\right)^2\\\\16 + x^2 = 65\\\\x^2 = 65-16\\\\x^2 = 49\\\\x = \sqrt{49} \ \text{ ... only consider the positive root}\\\\x = 7\\\\[/tex]