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3 years ago

PLEASEEE HELPPP MEEE WITH NUMBERSSSS 9 AND 10 QUESTION: Find the measure of each numbered angle

Mathematics

2 answers:

ryzh [129]3 years ago

6 0

9:::: 1=180-123=57degree
2= 180-57-62=61 degree

Ymorist [56]3 years ago

5 0

Answer:

9) 1: 57°

2: 61°

10) 1: 43°

2: 32°

Step-by-step explanation:

9) 1: The angle is a part of a straight line and a line =180° so if you do 180-123 you get the answer (57)

2: If every angle in a triangle is added it =180° as well, so if you do 180-118 you get the second angle measurement (62) then you add both angles that you already have in the triangle (57+62=119) then you do 180-119 to get the last angle measurement, or the answer to 2 (61)

10) 1: You get the measurement of the second angle by doing 180-83 which=97 then add 40+97 which will give you 137 then subtract 180-137 which will give you the answer to #1 (43)

2: You get the measurement of the second angle by doing 180-115 which=65 then add 83+65 which will give you 146 then subtract 180-146 which will give you the answer to #2 (32)

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The equations and inequality expresses the relationship between the variables.

The correct responses are;

First part; The rule that represent the function is; y = 0.5·x - 1

Second part; the correct option is the inequality; 2·n - 6 ≥ 35

Third part; $\displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}$

Fourth part; Table 4

Fifth part; $\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}$

Sixth part; 75·w + 55 ≤ 400

Reasons:

First part;

The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;

The rate of change of the function, m, is therefore;

$\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5$

The slope and intercept form of the equation of the function is therefore;

y - 3 = 0.5·(x - 8) = 0.5·x - 4

y = 0.5·x - 4 + 3 = 0.5·x - 1

The rule that represent the function is; y = 0.5·x - 1

Second part;

2·n represent twice the number

The difference between twice the number and 6 = 2·n - 6

At least 35 = ≥ 35

Therefore, the inequality is; 2·n - 6 ≥ 35

Third part;

The given quadratic equation is; a·x² + b·x + c = 0

Therefore;

$\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}$

Fourth part;

The best correct option is table 4, given that the table is as follows;

$\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right]$

Fifth part;

The y-intercept of the graph is -0.5

The slope is -4 ÷ 8 = -0.5

Therefore, the equation is; y = -0.5·x - 4

The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;

$\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}$

Sixth part;

The amount Jordan part-time job pays = $75

The amount he has already saved = $55

The cost of the iPhone = $400

Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;

75·w + 55 ≤ 400

Learn more about writing equations and inequalities here:

brainly.com/question/14321394

3 0

2 years ago

8. find the unknown angle