Ms. Velez will use x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red bricks cost $0.58 each. She can spend up to $200 on her project, and wants the number of red bricks to be less than half the number of gray bricks.Which inequalities model the situation?

Choose exactly three answers that are correct.

Answer:

3) 361/11

4) 51

Step-by-step explanation:

for both problems, they give you the length of the segment so you just add both of the segments equal to the length of the whole segment. then for whatever you find as x, plug it into the equation.

ex. 7x+1+4x-3=42

or

5x-8+7x-12=10x-2

Answer: U, W, Z and Y

Step-by-step explanation:

4 points are not coplanar if there does not exist any plane that contains the 4 points.

So, a plane is formed by a line and one point outside of it.

Then, we want to select the last point in such a way that it lies outside of the plane generated by the first 3 points selected.

For example:

If first we select Point U and Point W, we will have a line, as shown in the image.

Now we can select the Point  Z, that is outside the line, and now we have the plane M that you can see in the image.

Now we need to select a point that is not in the plane, the only two options are Point X and Point Y, we can select any of those two, let's take the Point Y.

So, here we have that:

Points U, W, Z and Y are not coplanar.

Answer:

Option 4 is correct that is both apply

Step-by-step explanation:

We have given  the triangle we have to tell which postulate SSS or SAS  to use to prove

ΔABC=ΔAED

We can use both of them

Case1: Since, three of the sides are equal that is

AB=AE

AC=AD

BC=ED

Which means SSS can be used

Since, SSS is side side side

Case2: Since one angle and two sides are equal

AB=AE

AC=AD

And ∠BAC=∠EAD

Which means SAS can be used

Since, SAS is side angle side

Therefore, Option 4 is correct that is both apply.

Answer:  both apply

Step-by-step explanation:

• SSS congruence postulate says that if three sides of one triangle are congruent to three sides of other triangle then the triangles are said tobe congruent.

SAS congruence postulate says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of other triangle then the two triangles are said to be congruent.

In the given triangles ΔABC and ΔAED , we have

∠BAC ≅ ∠EAD

AC ≅ AD

BE ≅ DE

If AB ≅ AE , then we have sufficient things to proof that ΔABC ≅ ΔAED by SSS congruence postulate .

i.e. for AC ≅ AD , BE ≅ DE and AB ≅ AE   [all three sides are congruent]

ΔABC ≅ ΔAED  by SSS congruence postulate.

Also, If AB ≅ AE , then we have sufficient things to proof that ΔABC ≅ ΔAED by SAS congruence postulate .

i.e. for AC ≅ AD   [Side]

∠BAC ≅ ∠EAD    [included angle]

AB ≅ AE             [Side]

⇒ ΔABC ≅ ΔAED  by SAS congruence postulate.

Hence, we can apply both postulates to prove triangles congruent .

Answer:

D)The range would include all real numbers.

Step-by-step explanation:

Range is all real number because function represent the balance on credit card each month. It may be cross over limit or lower limit.

If we purchase any goods using credit card balance will deduct from credit card and mark as negative number.

If we pay bill of credit card bill, this amount shows as positive number because any amount add to credit card.

In a month we purchased ,

 Month                                 Debit             Credit

12/9/2018                             $58.65

15//9/2018                            $42.23

23/9/2018                            $21.49

28/9/2018                                                    $180.23

Total                                     - $122.33       +$180.23

Net Balance in credit card = Debit + Credit = $57.90  

Thus, Balance on credit card would be any real number.