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3 years ago

A triangle with angle measures of 45 45 and 90 is

Mathematics

2 answers:

kiruha [24]3 years ago

6 0

Answer:

A right triangle

Step-by-step explanation:

The answer is a right triangle because it has a right angle. A right angle is 90 degrees

Damm [24]3 years ago

4 0

The triangle with angle measures 45,45 and 90 Isosceles triangle

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Is quadrilateral jklm the result of a dilation of quadrilateral abcd by a scale factor of 2? why or why not?

4vir4ik [10]

No. Because sides JM and KL have different slopes from sides AD and BC .

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

For AD:

We have the points A(2, -2) and D(1, -4). Substitute:

$m=\dfrac{-4-(-2)}{1-2}=\dfrac{-2}{-1}=2$

For JM:

We have the points J(4, -4) and M(2, -9). Substitute:

$m=\dfrac{-9-(-4)}{2-4}=\dfrac{-5}{-2}=2.5$

$2\neq2.5$

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Another argument.

No. Because the MJ is not twice as long as AD.

The formula of the length of a segment:

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

The length of AD:

$|AD|=\sqrt{(1-2)^2+(-4-(-2))^2}=\sqrt{(-1)^2+(-2)^2}=\sqrt{1+4}=\sqrt5$

The length of MJ:

$|MJ|=\sqrt{(2-4)^2+(-9-(-4))^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}$

$\sqrt{29}\neq2\sqrt5$

4 0

4 years ago

(z-24) divided by 8+2

hjlf

Answer:

z=-24

Step-by-step explanation:

(z-24)/8+2

(z-24)/10

((z-24)/10)10 Multiply both sides by 10

10(z-24) Distribute

10z-240 Divide both sides by 10

z=-24

7 0

3 years ago

The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 mº. Find the dimensions of the r

zhenek [66]

Answer:

The dimensions of rectangle are 12 m and 4.5 m

Step-by-step explanation:

Given that, The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 m²

Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle

$\\ { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length × width}}}}}} \\ \\$

Substituting values in above formula:

$\\ \dashrightarrow \sf \: \: (3 + 2x)(x) = 54 \\$

$\dashrightarrow \sf \: \: 3x + 2x^2 = 54 \\$

$\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\$

$\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\$

$\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\:$

$\dashrightarrow \sf \: \: 2x(x + 6) -9(x + 6) = 0\\$

$\dashrightarrow \sf \: \: (2x -9)(x+6) = 0 \\$

$\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}}$

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}$

Hence,

Length of rectangle = 3 + 2x = 3 + 2(4.5) = 12 m
Width of the rectangle = x = 4.5m

$\\ { \underline{ \pmb{ \frak{ \therefore Length \: and \: width \: of \: the \: rectangle \: is \:12 \: m \: and \: 4.5 \: m}}}} \\$

5 0

2 years ago

Read 2 more answers

Sam makes $400 per week plus $20 commission on each new cell phone plan she sells. Write an equation and solve it to determine h

Sergio [31]

The equation would be 400+20c per week so if you do that equation, to figure it out 680-400=280 and then you would divide it by 20 and whatever that answer is, in this case it would be 14.

3 0

3 years ago

Y= x^2 + 2 Find the slope of tangent line to graph when x= -1

ANTONII [103]

dy%2Fdx+=+6x%5E2 So the slope at x = 2 is 6*(2^2) = 24

4 0

3 years ago