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3 years ago

Given the figure below, what is the missing step in Pam's proof that the sum of the measures of the

Mathematics

1 answer:

Papessa [141]3 years ago

8 0

Answer:

Option (3) from the top.

Step-by-step explanation:

Statements Reasons

1). m∠1 + m∠2 + m∠3 = 180° 1). The angles form a line

2). m∠A = m∠2 2). Alternate interior angles are equal.

3). m∠3 = m∠B 3).Because corresponding angles are equal.

4). m∠1 + m∠A + m∠B = 180° 4). Substitution

Hence, sum of the interior angles of a triangle is 180°.

Therefore, option (3) from the top will be the correct option.

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PLEASE HELP NEED TO GET MY GRADE UP!!!!! ILL GIVE BRAINLST!!!!!!!

Gre4nikov [31]

Answer:

A gardener harvested 20 tomatoes from 5 plants

Step-by-step explanation:

20 ÷ 5=4

3 0

3 years ago

Read 2 more answers

Factor a number, variable, or expression out of the polynomial shown below. 20x3 + 15x

vekshin1

20x^3 + 15x....factoring out 5x
5x(4x^2 + 3)

4 0

3 years ago

Derrick's Doggie Day Care charges a $12 registration fee plus $5 per hour for pet sitting. Pauline's Pooch Park charges $3 per h

sweet-ann [11.9K]

Answer:

$12 + 5h \leq 18 + 3h$

Step-by-step explanation:

Given

Represent Derrick's with D and Pauline's with P

For D

Registration Fee = $12

Hourly Charges = $5

For P

Registration Fee = $18

Hourly Charges = $3

Required

Represent as an inequality such that D is at most of P

First, we need to represent both as an expression:

For D

$D: 12 + 5h$

For P:

$P:18 + 3h$

Since D is at most of P;

This implies that:

$D \leq P$

So, we have:

$12 + 5h \leq 18 + 3h$

6 0

3 years ago

Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2% – 5, what key features do f(x) and g(x) ha

prohojiy [21]

A. Both $f(x)$ and $g(x)$ have the same domain of $(9, +\infty)$ .

<h3>How to analyze similarities in two functions</h3>

In this question we must analyze the domain, range, x-intercepts and increase intervals:

<h3>Domain</h3>

$Dom \{f(x)\} = \mathbb{R}$

$Dom \{g(x)\} = \mathbb{R}$

Both functions are continuous.

<h3>Range</h3>

$Ran \left\{f(x)\right\} = (3.875, +\infty)$

$Ran \{g(x)\} = (-5, +\infty)$

<h3>x-Intercepts</h3>

$f(x):$ $(x,y) = \emptyset$

$g(x):$ $(x,y) = (2.322, 0)$

<h3>Increase intervals</h3>

$f(x):$ According to the graph, $f(x)$ increase over the interval of $(3.875, + \infty)$ .

$g(x) :$ According to the graph, $g(x)$ increase over the interval of $\mathbb{R}$

After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. $\blacksquare$

<h3>Remark</h3>

The statement presents mistakes and is poorly formatted. Correct form is:

Given a polynomial function $f(x) = 2\cdot x^{2}-3\cdot x + 5$ and an exponential function $g(x) = 2^{x}-5$ . What key features do $f(x)$ and $g(x)$ have in common?

A. Both $f(x)$ and $g(x)$ have the same domain of $(9, +\infty)$ .

B. Both $f(x)$ and $g(x)$ have the same range of $(-\infty, 0]$ .

C. Both $f(x)$ and $g(x)$ have the same x-intercept of $(2,0)$ .

D. Both $f(x)$ and $g(x)$ increase over the interval of $(-4, +\infty)$ .

To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372

4 0

2 years ago

Help with one homework question for all

NeX [460]

Answer:

21 m

Step-by-step explanation:

P= a+b+c

so it be 9+7.5+4.5 = 21

9-1.5 = 7.5

9/2 = 4.5

5 0

4 years ago