Use Figure 1 to answer the question.
What is another name for plane Z?
(1 point)
Responses
plane ZXL
plane ZXL
plane XTV
plane XTV
plane SLT
plane SLT
plane XSL
plane XSL
Use Figure 1 to answer the question.
Plane STL and plane Z would intersect at _____.
(1 point)
Responses
line TV
Image with alt text: line TV
line XL
Image with alt text: line XL
plane STV
Image with alt text: plane STV
plane SLV
Image with alt text: plane SLV
Which of the following angles, when placed in standard position, does not land in quadrant III?
(1 point)
Responses
181°
181°
–179°
–179°
145°
145°
–97°
The correct answer is 145°.
Find the area of the shaded region.
A square is shown with circle upper O inscribed inside of the square. A side is labeled 8. The area of the square outside of the circle is shaded.
(1 point)
Responses
64 – 16symbol pi square units
64 – 16 Image with alt text: symbol pi square units
64 – 64symbol pi square units
64 – 64 Image with alt text: symbol pi square units
64 – 18symbol pi square units
64 – 18 Image with alt text: symbol pi square units
64 square units
64 square units
The correct answer is 64 – 16π square units.
f the measures of two complementary angles are 7x and 11x, then find x.
(1 point)
Responses
x = 5
x = 5
x = 10
x = 10
x = 22.5
x = 22.5
x = 12
To find x, we need to set up an equation based on the fact that two angles are complementary:
7x + 11x = 90
Combining like terms:
18x = 90
Dividing both sides by 18:
x = 5
The correct answer is x = 5.
Find a point E on ModifyingAbove C D with bar such that the ratio of ModifyingAbove C E with bar to ModifyingAbove C D with bar is one-fourth.
A number line measures from negative 10 to 10. C is located at negative 9. D is located at 7.
(1 point)
Responses
negative 7
Image with alt text: negative 7
negative 5
Image with alt text: negative 5
negative 3
Image with alt text: negative 3
negative 1
Image with alt text: negative 1
To find point E, we can use the given information that the ratio of line segment CE to line segment CD is one-fourth. CD measures from -9 to 7, which is a distance of 16 units.
Since the ratio of CE to CD is 1/4, we divide 16 by 4 to find the length of CE:
16/4 = 4
Starting from point C at -9, we move 4 units to the right to locate point E.
Therefore, point E is located at -5.
The correct answer is negative 5.