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2 years ago

6

Asap please!!!!!!! if jkl=rst, which congruences are true by cpctc? check all that apply.

1 answer:

Alik [6]2 years ago

7 0

Answer:

b, c e

Step-by-step explanation:

A congruence statement lists corresponding parts in the same order. CPCTC says corresponding parts are congruent.

__

To see if any particular statement is consistent with CPCTC, identify the locations of the referenced parts in the congruence statement. If they match, the congruence is true

a. l = r ... jkl = rst . . . . not in the same place

b. jk = rs ... jkl = rst . . . . a match; true

c. k = s ... jkl = rst . . . . a match; true

d. j = s ... inconsistent with (c)

e. kl = st ... jkl = rst . . . . a match; true

f. jl = rs ... inconsistent with (b)

Statements b, c, e are consistent with the congruence statement, and are true by CPCTC.

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Show work and Factor 4x^2+xy-18y^2

grigory [225]

Answer:

$4x^2+xy-18y^2=(4x+9y)\,(x-2y)$

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

$(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2$

so we want the following to happen:

$a\,c = 4\\ad+bc=1\\bd--18$

Notice as well that $ad+bc =1$ means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product $bd=-18$ , then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that $a\,\,and \,\,c$ are positive.

We can then try combinations for $a\,\,and \,\,c$ such as:

$a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4$

Just by selecting the first one $(a=4;\,\,c=1)$

we get that $4d_b=1\\b=-4d-1$

and since

$bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0$

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

$d=-18/(-2)\\d=9$

Now we have a good combination of parameters to render the factoring form of the original trinomial:

$a=4; \,\,b=9;\,\,c=1;\,\,d=-2$

which makes our factorization:

$(4x+9y)\,(x-2y)=4x^2+xy-18y^2$

6 0

3 years ago

A factory robot found flaws in 2 out of 12 bulbs. Considering this data, how many flawed bulbs would the robot be expected to fi

klio [65]

So if it’s 2/12 it would be 1 flaw in every 6 light bulbs. so if there were 18 light bulbs there would be 3 flaws (6 * 3 is 18)

6 0

3 years ago

Find an ordered pair that is solution for linear equation 4x-5y=20

Eduardwww [97]

Answer:

(5,0) is the solution of the given equation.

(0,-4) is the solution of the given equation.

Step-by-step explanation:

Here, the given equation is: 4 x- 5y = 20

Now, we need to find a value for (x,y) such that the above equation is satisfied.

The ONLY POSSIBLE way to do this is Hit and Trial.

Let us substitute x = 0

Then the equation becomes : 4 (0) - 5y = 20

or, -5 y = 20 ⇒ y = -20/5 = - 4

So, for x = 0, y = - 4

So, (0,-4) will be the solution of the given equation.

Let us substitute y = 0

Then the equation becomes : 4 (x) - 5(0) = 20

or, 4 x = 20 ⇒ x = 20/4 = 5

So, for x = 5, y = 0

So, (5,0) will be the solution of the given equation.

We can try another substitution as well.

For any value of x, we will get a corresponding value of y. So, (x,y) will be the solution of the given equation.

8 0

3 years ago

Jordana is putting a fence around a garden that is shaped like a half circle and a rectangle.

Lesechka [4]

Answer:

https://demo.tds.cambiumast.com/DesmosForAssessments/TDSCalculator.html?mode=fl_scirestricted

Step-by-step explanation:

5 0

3 years ago

Which answer choice shows 3.002 written in expanded form?A) 3 + 0.2B) 3 + 0.02C) 3 + 0.002D) 3+ 0.0002

Elanso [62]

SOLUTION

We want to know which answer choice shows 3.002 written in expanded form

To do this let us subtract 3.002 from 3, we have

We got 0.002

So the expanded form is

$3+0.002$

Hence the correct answer is option C

8 0

1 year ago