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Semenov [28]
2 years ago
7

Describe the location of the point having the following coordinates.

Mathematics
1 answer:
Maslowich2 years ago
6 0

Answer:

Step-by-step explanation:

Quadrant II or Quadrant IV

Quadrant I or Quadrant II

Quadrant I or Quadrant IV

Quadrant III or Quadrant IV

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6. What is the Greatest Common Factor of 45<br> and 60?<br> 14560
bazaltina [42]

Answer:

15  15 goes into 45 5 times and 60 5 times. highest number that goes into both numbers evenly

5 0
3 years ago
Read 2 more answers
Round 18.049 to the nearest tenth.
kirill115 [55]

Answer:

18.0

Step-by-step explanation:

Note the tenth place value (underlined and bolded): 18.<u>0</u>49

Look at the number to the direct right of the tenth place value (or the hundredth place value in this case). It is a 4.

Note the rules of rounding. If the number:

1) is 5 or greater, round up.

2) is 4 or less, round down.

In this case, it is 4, so you will round down.

18.049 rounded to the nearest tenth is 18.0

~

4 0
3 years ago
Read 2 more answers
Round 14 17/21 to the who number​
kaheart [24]

Answer: 15 !

Step-by-step explanation:

14 17/21 can be re-written as 14.8095

Which rounds to 15.

Hope this helped! :)

4 0
3 years ago
Read 2 more answers
Which of the following is true about a parallelogram? A. Opposite angles of a parallelogram are not congruent. B. Parallelograms
mafiozo [28]

Answer: The option is D.

Step-by-step explanation:

A line that intersects another line segment and separates it into two equal parts is called a bisector.

In a quadrangle, the line connecting two opposite corners is called a diagonal. We will show that in a parallelogram, each diagonal bisects the other diagonal.

Problem

ABCD is a parallelogram, and AC and BD are its two diagonals.  Show that AO = OC and that BO = OD

Strategy

Once again, since we are trying to show line segments are equal, we will use congruent triangles. And here, the triangles practically present themselves. Let’s start with showing that AO is equal in length to OC, by using the two triangles in which AO and OC are sides: ΔAOD and  ΔCOB.

There are all sorts of equal angles here that we can use. Several pairs of (equal) vertical angles, and several pairs of alternating angles created by a transversal line intersecting two parallel lines. So finding equal angles is not a problem. But we need at least one side, in addition to the angles, to show congruency.

As we have already proven, the opposite sides of a parallelogram are equal in size, giving us our needed side.

Once we show that ΔAOD and  ΔCOB are congruent, we will have the proof needed, not just for AO=OC, but for both diagonals, since BO and OD are alsocorresponding sides of these same congruent triangles.

ABCD is a parallelogram    

Given

AD || BC                                

From the definition of a parallelogram

AD = BC                                 Opposite sides of a parallelogram are equal in size

∠OBC ≅ ∠ODA                      Alternate Interior Angles Theorem, ∠OCB ≅ ∠OAD                      Alternate Interior Angles Theorem,

ΔOBC ≅ ΔODA                     

Angle-Side-Angle

BO=OD                                Corresponding sides in congruent triangles AO=OC                             Corresponding sides in congruent triangles.

5 0
3 years ago
Many companies "grade on a bell curve" to compare the performance of their managers and professional workers. This forces the us
GarryVolchara [31]

Answer:

option A

Step-by-step explanation:

given,

10% A grades     80% B grades      10% C grades

This year, managers with scores less than 35 received C's and those with scores above 425 received A's.

The mean has to be middle of two corresponding cutoff value

              \mu = \dfrac{35+425}{2}

                      μ = 230

Cutoff Off C grade corresponds with the area of 0.10 is table A.

corresponding z- score according to Table A

           Z = -1.28

now, standard deviation

    z = \dfrac{x-\mu}{\sigma}

    \sigma= \dfrac{x-\mu}{z}

    \sigma= \dfrac{35-230}{-1.28}

       σ = 152.3

Correct answer is option A

4 0
3 years ago
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