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2 years ago

Which of the following could be true if x < 45 A. x = 44 B. x = 45 C. x = 46 D. x > 45

Mathematics

1 answer:

pychu [463]2 years ago

6 0

Answer:

Step-by-step explanation:

< means "less than". The number must be smaller than 45 to be true.

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14 POINTS 14 Points 14 points

viva [34]

Answer:

r = 10 cm

Step-by-step explanation:

r² = 8² + 6²

r² = 64 + 36 = 100

r = 10 cm

8 0

3 years ago

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

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

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

2 years ago

The system of equations 2y = 14 - 2x and y=-x+ 7 is

Ratling [72]

Answer:

Infinitely many solutions

Step-by-step explanation:

2y=14-2x

y=-x+7

------------

2(-x+7)=14-2x

-2x+14=14-2x

-2x-(-2x)=14-14

-2x+2x=0

0=0

infinitely many solutions

6 0

3 years ago

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Ruby is visiting a wildlife center to gather information for her term paper. The center has a circular pond with a diameter of 2

Anton [14]

Well , the diameter means a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. The area means what the extent or measurement of a surface or piece of land. So area means inside so all you need to do is just to divide each side by knowing what 20/4 is and that = 5 meters

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2 years ago

Hey say it back.....

LekaFEV [45]

Answer
Hey :)

Explanation

3 0

3 years ago

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Which of the following could be true if x < 45 A. x = 44 B. x = 45 C. x = 46 D. x > 45​

Which of the following could be true if x < 45 A. x = 44 B. x = 45 C. x = 46 D. x > 45