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mr Goodwill [35]
2 years ago
14

Suppose the letter H is drawn on a coordinate axis and is rotated about a fixed point. Which statement is NOT true regarding the

rotated letter?
A
Any parallel lines on the letter will remain parallel.

B
The letter will follow a circular arc about the center of rotation given a specific angle of rotation.

C
The rotated image may be larger than the original image.

D
Any perpendicular lines on the letter will remain perpendicular.



If ΔABC and ΔXYZ are congruent, which of the following statements below is not true?
A
Angle B and angle Y are congruent.

B
Angle CBA and angle ZXY are congruent.

C
AB and XY are congruent.

D
AC and XZ are congruent.
Mathematics
1 answer:
stiks02 [169]2 years ago
7 0

The answer for the first question: C The rotated image may be larger than the original image.

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A large ice chest holds 62 liters of water. A smaller chest holds 4/5 as much water
dedylja [7]

Answer:

Step-by-step explanation:

Since a large ice chest holds the water = 62 liters

And smaller chest holds the water = \frac{4}{5} of the larger ice chest

                                                         = \frac{4}{5}\times 62

                                                         = \frac{248}{5} liters

Therefore, fraction that represents the amount of ice water in the smaller ice chest will have 0 in the first box, 248 in the numerator and 5 in the denominator.

0\frac{248}{5}

6 0
2 years ago
Sixty percent of the students at a certain school wear neither a ring nor a necklace. Twenty percent wear a ring and 30 percent
Reptile [31]

Answer:

0.4

Step-by-step explanation:

Given

60 % wear neither ring nor a necklace

20 % wear a ring

30 % wear necklace

This question can be Solved by using Venn diagram

If one person is choosen randomly  among the given student the probability that this student is wearing a ring or necklace is

P\left ( wear \ ring\ or \ necklace )+P\left ( neither\ ring\ or\ necklace)=1

P\left ( wear \ ring\ or\ necklace )=1-0.6=0.4

The sum of probabilty is equal to 1 because it completes the set

Therefore the required probabilty is 0.4

7 0
2 years ago
The center of a hyperbola is located at (0, 0). One focus is located at (0, 5) and its associated directrix is represented by th
Lady bird [3.3K]
For a hyperbola   \dfrac{y^{2}}{a^{2}}-\dfrac{x^{2}}{b^{2}}=1
where   a^{2}+b^{2}=c^{2}
the directrix is the line   y=\dfrac{a^{2}}{c}
and the focus is at (0, c).

Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
  a = √9 = 3
  b = √16 = 4

Your hyperbola's constants are ...
  a = 3
  b = 4


______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.
8 0
2 years ago
Read 2 more answers
Identify the 17th term of a geometric sequence where a1 = 16 and a5 = 150.06. Round the common ratio and 17th term to the neares
Mashutka [201]
The geometric sequence formula is expressed as an =  a1 * r^(n-1) where n is an integer. In this case, upon substitution, 150.06 = 16 * r^(4). extracting r, r is equal to 1.75. Hence the 17th term from the formula is equal to 123802.32.


8 0
2 years ago
Read 2 more answers
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 46°, b
horrorfan [7]
We will use the law of cosines
<span>side a² = b² + c² -2bc • cos(A)
</span><span>side a² = 729 + 196 -2*27*14 * cos (46)
</span><span>side a² = 925 -(756 * 0.69466)
</span>side a² = <span><span>399.83704 </span>
side a = </span><span><span><span>19.995925585 </span> </span> </span>
We could round that to 20
a = 20 b = 27 c =14

We can calculate a triangle's area when we know all 3 sides by using Heron's Formula
<span>area = square root (s • (s - a) • (s - b) • (s - c))

where s is the semi-perimeter </span>
semi-perimeter<span> = (side a + side b + side c) ÷ 2</span>
s = (20 + 27 + 14) / 2
s = 30.5
Now we use Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))
area = square root (30.5 • (<span>30.5 - 20) • (</span><span>30.5 - 27) • (</span><span>30.5 - 14))</span>
area = square root (30.5 • (10.5) • (3.5) • (<span>16.5))</span>
<span>area = square root (18494.4375)
</span> <span><span><span>area = 135.9942553934  </span> </span> </span>which rounds to
136 square feet
Source:
http://www.1728.org/triang.htm

 




7 0
2 years ago
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