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3 years ago

What do you know to be true about the values of p and q?

Mathematics

1 answer:

Harrizon [31]3 years ago

7 0

The thing that's true about the values p and q is that p = q.

The total <em>sum of the angles</em> in a triangle is 180°.

From the first triangle, the value of p will be:

80° + 20° + p = 180°

100° + p = 180°

p = 180° - 100°

p = 80°

From the second triangle, the value of q will be:

55° + 45° + q = 180°

100° + q = 180°

q = 180° - 100°

q = 80°

Therefore, p = q.

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A stem and leaf plot shows the number of kilometers walked for charity. The plot is titled 'Kilometers Walked for Charity.' The

vladimir1956 [14]

Answer:

For part A: Range is difference between the highest value and lowest value of the data set.

For part B: Range is 5.2

Step-by-step explanation:

For part A:

Range of a data set is difference between the highest value and lowest value of the data set.

For part B:

From stem and leaf and it's key ,we can write our data set as

12.3,12.3,12.612.7,12.9,12.9,13.1,13.1,13.4,13.5,13.5,14.0,14.0,14.2,14.3,14.3,14.8,14.8,14.9,15.2,15.2,15.2,15.2,15.2,15.3,15.5,15.5,15.7,16.4,16.5,16.5,16.9, 16.9, 17.3,17.5.

Lowest value of data set = 12.3

Highest value of the data set =17.5

So, range = highest value- lowest value= 17.5-12.3 =5.2

4 0

3 years ago

What is true about 3 times 9 ? 1) it’ is 3times smaller than 9 2) it is 3 less than 9 3) it is 3times as much as 9 4) it is 3 mo

Eva8 [605]

Answer:

3 is the correct answer (see explanations for each possible choice)

Step-by-step explanation:

1 cannot be right because 3 times smaller than 9 would be 3 as 1/3*9=3

2 cannot be right because 3 less than 9 is 9-3=6

3 is right because 3 times as much as 9 is 9*3=27

4 cannot be right because 3 more than 9 is 3+9=12

8 0

3 years ago

Read 2 more answers

A stainless steel patio heater is a square pyramid. The length of one side of the base is 19.6 m. The slant height of the pyrami

aivan3 [116]

Answer:

90.8 m

Step-by-step explanation:

Pythagorean Theorem

A²+B²=C²

slant height = C

A = 19.6/2=9.8m

90.9 in to m = 2.3m

9.8²+B²=2.3²

B²=90.9²-2.3² = 8257.52

B= $\sqrt{8257.52}$ = 90.8

6 0

3 years ago

Writing an Equation in Slope-Intercept Form

STALIN [3.7K]

Answer:y=Mx+b

Step-by-step explanation:

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3 years ago

What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)

polet [3.4K]

Answer:

(-5,-28)

Step-by-step explanation:

Given

$f(x)=x^2+10x - 3$

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

$f(x)= ax^2+bx +c$

By comparison;

$a = 1\ b = 10\ and\ c = -10$

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

$x = \frac{-b}{2a}$

Substitute 10 for b and 1 for a

$x = \frac{-10}{2*1}$

$x = \frac{-10}{2}$

$x = -5$

Substitute $x = -5$ in the given function;

$y=x^2+10x - 3$

$y=(-5)^2+10*-5 - 3$

$y=25-50 - 3$

$y=-28$

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

6 0

3 years ago