Which function has the greater slope and what does it
indicate?
The tables show linear functions representing the
estimated time it takes for the math and language arts
portions of standardized tests with different numbers of
questions
Math
Number of Questions
Estimated Time (min)
25
87
30
102
45
147
50
162
65
207
The math function has the greater slope, which shows
that the estimated time per question for math is less than
the estimated time per question for language arts.
O The math function has the greater slope, which shows
that the estimated time per question for math is greater
than the estimated time per question for language arts.
O The language arts function has the greater slope, which
shows that the estimated time per question for language
arts is less than the estimated time per question for
math
Language Arts
Number of Questions
Estimated Time (min)
20
88
35
148
40
168
55
228
60
248
The language arts function has the greater slope, which
shows that the estimated time per question for language
arts is greater than the estimated time per question for
math

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)