11. Solve for the value of x in the triangle shown below. Show your work! (1 point for equation, 1 point for answer)

Mathematics

1 answer:

Brut [27]2 years ago

7 0

3 inside angles need to = 180, since it is a right triangle, the bottom left angle = 80 so the other 2 angles need to equal 90 degrees

so you have:

(8x+2) + (9x+3) = 90

combine like terms to get:

17x+5 = 90

subtract 5 from both sides:

17x = 85

divide both sides by 17

x = 85/17 = 5

x = 5

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Which expression represent the product of x3 + 2x - 1 and x4 - x3 + 3

Alborosie

Answer:

x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.

Step-by-step explanation:

(x3 + 2x - 1) (x4 - x3 + 3)

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2 years ago

Which number sentence is true? O A) 2.3 x 102 > 2000 OB) 3.45 > 1-4.35| OC) 345 > 5:33 825 OD 13

OLEGan [10]

Answer:

D) -2.14< root10 <|-2.8|

Step-by-step explanation:

the value for -2.14 is as plain as you can see, the negative version of 2.14.

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The lines next to -2.8 is asking for the absolute value of -2.8, or the distance between that number and zero. The distance between -2.8 and 0 is positive 2.8, because distance can't be negative.

The 3 numbers taken from the explanations are -2.14, 3.16, and 2.8. Ranking them from least to greatest would give you -2.14, 2.8, 3.16, or -2.14< root10 <|-2.8|

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3 years ago

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y <

Mandarinka [93]

Part A:
The first thing you should do is to graph both lines. Notice that one is of positive slope and another of negative slope.
The solution of the inequation system is given by the shaded region. That is, all the points that are in the shaded region satisfy the system of inequations.
Part B:
the point (-2, -2) is NOT included in the solution area (it is not in the shaded region.
Mathematically it is demonstrated by substituting inequalities and seeing that they are not satisfied
inequality 1
-2 <4 (-2) - 2
-2 <-10 (false)
inequality two
-2> = - (5/2) (- 2) - 2
-2> = 3 (false).