Answer:
q = 14
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
- Complementary Angles: Angles that add up to 90°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
<em>The 2 angles must add up to 90°.</em>
(4q - 5)° + 39° = 90°
<u>Step 2: Solve for </u><u><em>q</em></u>
- Combine like terms: 4q + 34 = 90
- Subtract 34 on both sides: 4q = 56
- Divide both sides by 4: q = 14
It is fine that you did not include the measure of angle XYZ in your posting.
This question is testing your knowledge of the four types of transformations.
1) Translations - an item is "slid" to a new location.
2) Reflections - an item is "flipped" (usually over the x-axis or y-axis)
3) Rotations - an item is rotated, usually around the origin (the point (0,0) is the center of most rotations, especially in high school math).
4) Dilations - an item is enlarged or reduced by a certain ratio.
It the first three, the image after the transformation is congruent to the pre-image. It has the same size and shape. It is simply flipped, rotated, slid...
But... in the fourth, dilation, the image now has a different size. It is still, however the same shape.
In geometry terms, after the first three transformations, the image is still "congruent" to the pre-image. After dilation, the image is "similar" but not "congruent."
So... all that to say that when you rotate an angle around the origin, the measure of the angle doesn't change.
So the first choice is correct. The measure of the image of the angle is the same as the measure of the angle.
<span>m∠X’Y’Z’ = m∠XYZ
</span>
Answer:
D. 251.2 feet
Step-by-step explanation:
On carefully observing the diagram,it can be seen that 80 feet is the diameter of the circular ride, i.e.,the circle,in this case.
The radius of the circle will be half the diameter,r=(80/2) feet=40 feet
The distance of one complete loop of this circular path will be the circumference of the circle.
So, Circumference
=2*π*r
=2*3.14*40 feet
=251.2 feet [ANS]
D 64 if this is right please give me brainlist
9514 1404 393
Answer:
C) 14 cm
Step-by-step explanation:
A triangle solver can quickly show you the third side is 14 cm.
__
The law of cosines can be used for this purpose. If the given sides are 'a' and 'b', and the third side is 'c', then that law tells you ...
c² = a² +b² -2ab·cos(C)
c² = 7² +11² -2·7·11·cos(100°) ≈ 196.74
c ≈ √196.74 ≈ 14.03
The length of the third side is about 14 cm.
