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3 years ago

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Rectangle JKLM is rotated 90° clockwise about the origin. On a coordinate plane, rectangle J K L M has points (negative 4, 1), (

negative 1, 1), (negative 1, negative 1), (negative 4, negative 1). What are the coordinates of J’? J’(–1, –4) J’(4, –1) J’(1, 4) J’(4, 1)

1 answer:

Alexus [3.1K]3 years ago

3 0

Answer:

(4,-1)

Step-by-step explanation:

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In her last basketball game, Casey scored 46 points. In the current game, she has scored 24 points so far. How many more two-poi

Nady [450]

Answer:

At least 11 two-point baskets

Step-by-step explanation:

In her last basketball game, Casey scored 46 points.

In the current game, she has scored 24 points so far.

Difference $=46-24=22$ points

If Casey wants her total score in her current game to be at least as great as her score in the last game, then she has to make at least

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two-point baskets.

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3 years ago

Given: AD = BC and AD || BC

bearhunter [10]

Answer:

ABCD is a parallelogram.

Step-by-step explanation:

A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.

From the given diagram,

Given: AD = BC and AD || BC, then:

i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)

ii. <ADC = < BCD and < DAB = < CBA

thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)

iii. < BAC = < DCA (alternate angle property)

iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.

v. <ADC + < BCD + < DAB + < CBA = $360^{0}$ (sum of angles in a quadrilateral equals 4 right angles)

Therefore, ABCD is a parallelogram.

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3 years ago

Hyperloop, a new mode of travel, aims to reach a speed of 170170 \dfrac{\text{m}}{\text{s}} s m . This is 50\%50% less than th

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Answer:

Speed of sound is 340 meter per second.

Step-by-step explanation:

Let the speed of sound = x meter per second.

It is given that,

The new mode of travel has the speed 170 meter per second, which is 50% less than the speed of sound.

So, we get,

x - 50%x = 170

i.e. x - 0.5x = 170

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3 years ago

ra1l [238]

<h2>Explanation:</h2>

Let's use a trial and improvement method to find this solution.

Step 1. Let's choose x = 8.5

Substituting into the equation:

$(8.5)^2+ 3(8.5) - 94=0? \\ \\ 72.25+25.5-94=0? \\ \\ 3.75\neq 0$

Step 2. Let's choose x = 8.4

Substituting into the equation:

$(8.4)^2+ 3(8.4) - 94=0? \\ \\ 70.56+25.2-94=0? \\ \\ 1.76\neq 0$

Step 3. Let's choose x = 8.3

Substituting into the equation:

$(8.3)^2+ 3(8.3) - 94=0? \\ \\ 68.89+24.9-94=0? \\ \\ -0.21\neq 0$

Since the sign of the equation changes from positive to negative when evaluating from 8.4 to 8.3, then x = 8.3 seems to be a reasonable value. Finally, the solution to 1 decimal place is:

$x=8.3$

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4 years ago