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lyudmila [28]
2 years ago
10

John writes the proof below to show that the sum of the angles in a triangle is equal to 180º.

Mathematics
1 answer:
GREYUIT [131]2 years ago
4 0

Answer:

When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

Step-by-step explanation:

i did it

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17) x =<br> (6x-7)<br> (103-x)
Firlakuza [10]

Answer:

6B = F8

Step-by-step explanation:

5 0
3 years ago
The temperature changes from 9°F to -5°F. Which of the following expressions model the distance on thermometer between 9°F and -
scoray [572]

Answer:

d = |- 5- 9|

Step-by-step explanation:

Given

Initial = 9^\circ F

Final = -5^\circ F

Required

Determine the difference

Represent this with d.

d is calculated using

d = |Final - Initial|

The equation becomes

d = |- 5- 9|

3 0
3 years ago
A math class has 7 girls and 3 boys in the seventh grade and 3 girls and 9 boys in the eighth grade. The teacher randomly select
Bumek [7]

7th grade has 3 boy out of 10 students

 probability of picking a boy is 3/10

8th grade has 9 boys out of 12 students are boys

 probability of picking a boy is 9/12 reduced to 3/4

3/10 x 3/4 = 9/40 probability of picking 2 boys

4 0
3 years ago
-3s + 5 = s + 13 <br>In a linear equation​
Artist 52 [7]
S= -2
-3s + 5 = s + 13
4 0
3 years ago
Give an example of each of the following or explain why no such example exists. (a) Two polynomials of degree 1 in Z4x whose pro
andre [41]

Answer:

Step-by-step explanation:

(a)

let, f(x) = 2x+1 & g(x) = 2x+2

So, f(x).g(x) = (2x+1).(2x+2) = 4x² + 6x + 2 = 2x+2 in Z_4[x]

So, product of two 1 degree polynomials is a 1-degree polynomial in Z_4[x]

(b)

let, f(x) = 2x³ - 3x² + 5x + 7 & g(x) = -2x³ + 3x² + x + 3 be two polynomials in R[x]

So, f(x) + g(x) = 6x + 10, which is a polynomial of degree 1 in R[x]

(c)

this is not possible, since, if f & g are 2 polynomials in any polynomial ring S, then, we always have,

deg(f.g) <= deg(f) + deg(g)

So, deg(f.g) = 5 (as desired) but, deg(f) + deg(g) = 2+2 = 4 but, 4 < 5

So, this is not possible.

So, no such example exists.

3 0
3 years ago
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