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miv72 [106K]
3 years ago
11

Which statements are true? Select three options. Line A B and Line C G are parallel. Line A B and Line R S are parallel. Line C

G and Line R S are perpendicular. Line A B and Line R S must intersect. Line segment C G lies in plane X. Line segment R S lies in plane X.

Mathematics
1 answer:
defon3 years ago
5 0

Answer:

Line A B and Line C G are parallel.

Line C G and Line R S are perpendicular

Line A B and Line R S must intersect

Line segment C G lies in plane X

Step-by-step explanation:

Given that Planes X and Y intersect at a right angle.

From the image attached, line AB and CG are on the same plane X while line RS is on plane Y. Hence, line CG lies on plane X.

Since both line AB and CG line on the same plane, this means that both lines are parallel to each other.

Since plane X and plane Y are perpendicular to each other and line CG is on plane X and line RS is on plane Y, this means that both Line C G and Line R S are perpendicular.

Also Since plane X and plane Y intersect and line AB is on plane X and line RS is on plane Y, this means that both Line C G and Line R S intersect with each other at right angle.

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8 0
3 years ago
the end of the road is 15/16 of a mile away. Luke walked 7/8 of a mile down the road. How much further did he need to walk
AURORKA [14]

Answer:

1/16 of a mile left to walk to reach the end of the road

Step-by-step explanation:

The total distance to be walked = 15/16 miles

already walked= 7/8 miles = 14/16 miles

15/16 - 14/16 = 1/16 miles

4 0
2 years ago
one teacher want to give each student 4/5 of a slice of pizza, if the teacher has 4 slices of pizza, then how many students will
GuDViN [60]

Answer:

The answer is 5 students.

Step-by-step explanation:

This problem is a division problem.

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Keep the dividend like it is, which is 4 or 4/1.

Change the division to multiplication.

And flip the divisor- 4/5 to 5/4.

When you multiply, you should get 20/4.

Simplify by dividing 20 by 4.

20 divided by 4 is 5.

So the answer is 5 students

6 0
3 years ago
Every prime number greater than 10 has a digit in the ones place that is include in wich set of numbers A- 1,3,7,9 B-1,3,5,9 D-1
marta [7]

That's very interesting.  I had never thought about it before.
Let's look through all of the ten possible digits in that place,
and see what we can tell:

-- 0:
   A number greater than 10 with a 0 in the units place is a multiple of
   either 5 or 10, so it's not a prime number.

-- 1:
    A number greater than 10 with a 1 in the units place could be
    a prime (11, 31 etc.) but it doesn't have to be (21, 51).

-- 2:
   A number greater than 10 with a 2 in the units place has 2 as a factor
   (it's an even number), so it's not a prime number.

-- 3:
   A number greater than 10 with a 3 in the units place could be
   a prime (13, 23 etc.) but it doesn't have to be (33, 63) .

-- 4: 
   A number greater than 10 with a 4 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 5:
   A number greater than 10 with a 5 in the units place is a multiple
   of either 5 or 10, so it's not a prime number.

-- 6:
   A number greater than 10 with a 6 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 7:
   A number greater than 10 with a 7 in the units place could be
   a prime (17, 37 etc.) but it doesn't have to be (27, 57) .

-- 8:
   A number greater than 10 with a 8 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 9:
   A number greater than 10 with a 9 in the units place could be
   a prime (19, 29 etc.) but it doesn't have to be (39, 69) .

So a number greater than 10 that IS a prime number COULD have
any of the digits  1,  3,  7,  or  9  in its units place.

It CAN't have a  0,  2,  4,  5,  6,  or  8 .

The only choice that includes all of the possibilities is  'A' .

4 0
3 years ago
Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?
stepladder [879]

Answer:

\displaystyle 64

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]:                                                             \displaystyle \lim_{x \to c} x = c

Limit Rule [Variable Direct Substitution Exponential]:                                         \displaystyle \lim_{x \to c} x^n = c^n

Limit Property [Multiplied Constant]:                                                                     \displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle  \lim_{x \to 0} f(x) = 4

<u>Step 2: Solve</u>

  1. Rewrite [Limit Property - Multiplied Constant]:                                           \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4
  2. Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]:       \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)
  3. Simplify:                                                                                                         \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

3 0
3 years ago
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