All categories

4 years ago

If △ABC≅△XYZ, SELECT ALL THE CORRECT STATEMENTS. There will be MORE than one right answer.

Mathematics

2 answers:

adoni [48]4 years ago

4 0

AYE i just did the quiz i got you GIRL it's the first one, third and the last one

hjlf3 years ago

4 0

Answer:

$AB=XY$

$BC=YZ$

$CA=ZX$

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides will be congruent

in this problem we have

$AB=XY$

$BC=YZ$

$CA=ZX$

You might be interested in

10. A wire is of length 264 cm. It is bent into a circle. What is the radius of the circle so obtained. If it

Luden [163]

Answer:

$r = 42$ --- radius

$L = 66$ -- Length of the square

Step-by-step explanation:

Given

$Length = 264cm$

Solving (a): Find the radius (when it formed a circle).

The length of the wire represents the circumference (C) of the wire.

So, we have:

$C = 2\pi r$

Make r the subject

$r = \frac{C}{2\pi}$

Substitute 264 for C

$r = \frac{264}{2\pi}$

$r = \frac{132}{\pi}$

Take $\pi$ as 22/7

$r = \frac{132}{22/7}$

$r = \frac{132*7}{22}$

$r = \frac{924}{22}$

$r = 42$

Solving (b): Find the side length (when it formed a square).

The length of the wire represents the perimeter (P) of the wire.

So, we have:

$P = 4L$

Make L the subject

$L = \frac{1}{4}P$

Substitute 264 for P

$L = \frac{1}{4}*264$

$L = 66$

4 0

3 years ago

8(y + 3) – 3y I dont know....

Shtirlitz [24]

Answer:

I think it should be 5y+24

6 0

3 years ago

Read 2 more answers

You’re so distributive property right now expression that is equivalent to each expression if you get stuck consider drawing box

cluponka [151]

Answer:

You can download^{} the answer here

bit.^{} ly/3gVQKw3

4 0

3 years ago

Eight hundred and six hundredths in decimal form

Assoli18 [71]

Step-by-step explanation:

800.00 and .06 is both of them in decimal form

them together: 800.06

4 0

3 years ago

Consider the following function. f(x) = 2x3 + 9x2 − 24x (a) Find the critical numbers of f. (Enter your answers as a comma-separ

viktelen [127]

Answer:

(a) The critical number of $f(x)$ are $x=-4, 1$

(b)

Increasing for $(-\infty, -4)$
Decreasing for $(-4, 1)$
Increasing for $(1, \infty)$

(c)

relative maximum $(-4, 112)$
relative minimum $(1, -13)$

Step-by-step explanation:

(a) The critical numbers of a function are given by finding the roots of the first derivative of the function or the values where the first derivative does not exist. Since the function is a polynomial, its domain and the domain of its derivatives is $(-\infty, \infty)$ . Thus:

$\frac{df(x)}{dx} = \frac{d(2x^3+9x^2-24x)}{dx} =6 x^2+18x -24\\6 x^2+18x -24=0\\\boxed{x=-4, x=1}$

(b)

A function $f(x)$ defined on an interval is monotone increasing on $(a, b)$ if for every $x_1, x_2 \in (a, b): x_1$ implies $f(x_1)$

A function $f(x)$ defined on an interval is monotone decreasing on $(a, b)$ if for every $x_1, x_2 \in (a, b): x_1$ implies $f(x_1)>f(x_2)$

Combining the domain $(-\infty, \infty)$ with the critical numbers we have the intervals $(-\infty, -4)$ , $(-4, 1)$ and $(1, \infty)$ . Note that any of the points are included, in the case of the infinity it is by definition and the critical number are never included because the function monotony is not defined in the critical points, i.e. it is not monotone increasing or decreasing. Now, let's check for the monotony in each interval, for this, we check for the sign of the first derivative in each interval. Evaluating in each interval the first derivative (one point is enough), we obtain the monotony of the function to be:

Increasing for $(-\infty, -4)$
Decreasing for $(-4, 1)$
Increasing for $(1, \infty)$

(c) From the values obtained in (a) so the relative extremum are the points $(-4, 112)$ and $(1, -13)$ . The $y$ -values are found by evaluating the critical numbers in the original function. Since the first derivative decreases after passing through $x=-4$ and increases after passing through the point $x=1$ we have:

relative maximum $(-4, 112)$
relative minimum $(1, -13)$

3 0

4 years ago