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3 years ago

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Can someone help me please In the diagram, VWX and XYZ are congruent equilateral triangles, and ∠VXY is 80o. What is the measure

ment of ∠VWY?
vwx = xyz

xwy and xyz are equilateral triangles

m, vxw = 80

2 answers:

Lelu [443]3 years ago

5 0

Answer:

Step-by-step explanation:

its vwx = xyz

Ray Of Light [21]3 years ago

4 0

Vwx = xyz is the answer unless I typed it wrong

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3) x2+ y2 - x + 3y - 42 = 0<br> X+y=4

REY [17]

The solution is $(-1,5)$ and $(7,-3)$

Step-by-step explanation:

The expression is $x^{2} +y^{2} -x+3y-42=0$ and $x+y=4$

Using substitution method we can solve the expression.

Let us substitute $x=4-y$ in $x^{2} +y^{2} -x+3y-42=0$

$(4-y)^{2} +y^{2} -(4-y)+3y-42=0$

Expanding and simplifying the expression, we get,

$\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}$

Let us use the quadratic equation formula to solve this equation,

$\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}$

Thus, $y=5$ and $y=-3$

Substituting y-values in the equation $x+y=4$ , we get the value of x.

For $y=5$ ⇒ $x=4-5=-1$

For $y=-3$ ⇒ $x=4+3=7$

Thus, the solution set is $(-1,5)$ and $(7,-3)$

7 0

3 years ago

Question 4Multiple Choice Worth 3 points)

dedylja [7]

LENGTH=2/5

WIDTH=1/5

perimeter is 2l+2w

L=So 2/5 + 2/5 is 4/5

W=So 1/5 + 1/5 is 2/5

Answer is 4/5 + 2/5

Answer= 6/5 = 1 1/5

5 0

3 years ago

Ava is making punch for the entire class. She mixed 3 gallons of lemonade with every 7 gallons of Hawaiian Fruit Punch to make t

irina [24]

Answer:

3:7

Step-by-step explanation:

3 parts of lemonade to 7 parts punch

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2 years ago

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You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep o

Drupady [299]

Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

$distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$(10, 0) = (x_1, y_1)$

$(16, 8) = (x_2, y_2)$

$d = \sqrt{(16 - 10)^2 + (8 - 0)^2}$

$d = \sqrt{(6)^2 + (8)^2}$

$d = \sqrt{36 + 64} = \sqrt{100}$

$d = 10$

Length of fencing = 6 + 8 + 10 = 24 m

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19 is the median of the numbers

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3 years ago