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2 years ago

10

Can someone help me with this please?

1 answer:

AVprozaik [17]2 years ago

8 0

Answer:

y=70°

z= 60°

w= 70°

Step-by-step explanation:

Since the two triangles are similar, we know that all of the corresponding angles must be the same. On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°. This means that the same angle is formed at Z, which is in the same location on the triangle to the right. From there, we can find the missing angle, W, from the difference of 180°.

180°-50°-60°=70°.

The same way we found Z, we can also find Y, since it has to be the same as W.

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The length of a rectangle is the width minus 3 units. The area of the rectangle is 40 units. What is the width, in units, of the

Eva8 [605]

The width of rectangle is 8 units.

Step-by-step explanation:

Given,

Area of rectangle = 40 units

Width = w

Length = w-3

Area = Length * Width

$40=(w-3)*w\\40=w^2-3w\\w^2-3w=40\\w^2-3w-40=0$

Factorizing the equation

$w^2-8w+5w-40=0\\w(w-8)+5(w-8)=0\\(w-8)(w+5)=0$

Either,

w-8=0 => w=8

Or,

w+5=0 =>w= -5

As width cannot be negative, therefore

Width of rectangle = 8 units

The width of rectangle is 8 units.

Keywords: area, rectangle

Learn more about rectangles at:

#LearnwithBrainly

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2 years ago

In the given polygon, AC= 5x - 24, AO= 3. Find x. NO LINKS!!!

egoroff_w [7]

Answer:

$x=6$

Step-by-step explanation:

5x - 24 = 3 * 2

5x - 24 = 6

5x = 30

x = 6

5 0

2 years ago

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The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Savatey [412]

Answer:

$a\cdot b\cdot c=\frac{15}{4}$

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

$y-k=a(x-h)^2$

Substitute the values

$y-(-2)=a(x-(-3))^2=a(x+3)^2$

$y+2=a(x+3)^2$

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

$0+2=a(-1+3)^2=4a$

$a=2/4=1/2$

Now, using the value of a

$y+2=1/2(x+3)^2=1/2(x^2+6x+9)$

$y+2=\frac{1}{2}x^2+3x+\frac{9}{2}$

$y=\frac{1}{2}x^2+3x+\frac{9}{2}-2$

$y=\frac{1}{2}x^2+3x+\frac{9-4}{2}$

$y=\frac{1}{2}x^2+3x+\frac{5}{2}$

By comparing with

$y=ax^2+bx+c$

We get

$a=\frac{1}{2}, b=3, c=5/2$

$a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}$

$a\cdot b\cdot c=\frac{15}{4}$

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2 years ago

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slega [8]

Use photo math is very useful for things

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3 years ago

Answer this please, actually only delany, have a heart she needs the points

MariettaO [177]

the answer is a B:9

Step-by-step explanation:

THE ANSWERS FOR u question is a B:9

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2 years ago

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