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4 years ago

What is -4 = s-6/-4 equaled to

Mathematics

1 answer:

zmey [24]4 years ago

7 0

Move the negative sign to the left

-4 = s - (-6/4)

Simplify 6/4 to 3/2

-4 = s - (-3/2)

Simplify brackets

-4 = s + 3/2

Subtract 3/2 from both sides

-4 - 3/2 = s

Simplify -4 - 3/2 to -11/2

-11/2 = s

Switch sides

s = -11/2

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In the figure, mZRPZ = 95 and TU ||RQ|| VW. Find the measure of angle YSV.

madreJ [45]

Answer:

$m\angle YSV=85^o$

Step-by-step explanation:

The complete question in the attached figure

step 1

Find the measure of angle QPZ

we kno that

$m\angle RPZ+m\angle QPZ=180^o$ ---> by supplementary angles (form a linear pair)

we have

$m\angle RPZ=95^o$ ---> given value

substitute

$95^o+m\angle QPZ=180^o$

$m\angle QPZ=180^o-95^o$

$m\angle QPZ=85^o$

step 2

Find the measure of angle YSV

we know that

When two lines are crossed by another line, Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. If the two lines are parallel then the alternate exterior angles are congruent.

In this problem

The transversal is the line XY

The two parallel lines are RQ and VW

therefore

$m\angle YSV=m\angle QPZ$ ---> by alternate exterior angle

we have

$m\angle QPZ=85^o$

therefore

$m\angle YSV=85^o$

5 0

4 years ago

For each pair of triangles,tell:(a) are they congruent(b)write the triangle congruency statement.(c) Give the postulate that mak

pychu [463]

All right...before we begin, let's lay some ground rules about the postulate your teacher asks for in every problem. If you already know what they are, skip this paragraph...

A postulate is a statement that claims how the triangles are congruent from looking at the paper. For example, on number 2 we have three sides of the triangle so we would use the postulate SSS (side, side, side). However, number one we would use SAS (side, angle, side) because we see the angle square showing it is a 90-degree angle.
Let's begin! (I haven't done triangles in a while so I apologize in advance if some of my answers might be incorrect on the congruent (yes or no) part of it.)

1.
A) From a visual perspective, we can see the triangles are congruent.
B) ABE = CDE because they are the corresponding points.
C) We can use SAS for the postulate.

2.
A) Yes, they are congruent.
B) OLE = OVE
C) We can use SSS for their postulate.

3.
A) Yes, they are congruent.
B) AWT = ERT
C) We can use SAS for the postulate.

4.
A) I believe the triangles are congruent. You might want to check me on that.
B) GFE = FGH
C) SSS

5.
A) They are congruent because if IH bisects it, it is directly in the middle. So, we know that WH = HS and IH = IH (duh.) and their angles match.
B) WHI = SHI
C) SAS

6.
A) This one is intriguing because it would state above the shape "LE bisects LGUE." I'm going to take that it isn't exactly in the middle, but I am still going to say it is congruent.
B) LGE = EUL
C) ASA

7.
A) Yes, they are definitely congruent.
B) RTU = TRS
C) SSS (We have nothing that indicates angles.)

8.
A) Yes, they are congruent.
B) YWV = VZY
C) We can use SAS. (Might want to check that one.)

9.
A) I would say this one is NOT congruent.
B) There are only two points. One way is HT = MA
C) They are not congruent, you can not use a postulate. However, if you teacher insists on putting one, I would use SAS.

Once again, I would be careful about my answers. I haven't worked with triangles in a few years. If my math is incorrect, or I didn't give the answer you were looking for, please let me know. However, if my math is on point, please consider marking as Brainliest.

Have a good one.
God Bless.

7 0

4 years ago

The standard formula for the volume of a cylinder is V = πr2h. If the cylinder is scaled proportionally by a factor of k, its vo

Lelechka [254]

So, r' (the new r) becomes kr, and h'=h*k,

so V' = pi * (r')^2*h' = pi * (r*k)^2*(h*k) = pi*r^2*h*k^3 = V * k^3

Convinced?

6 0

4 years ago

Read 2 more answers

If arctan(3/5)=K Tan(k)=?

hichkok12 [17]

$arctan(x)=y$

this function is the inverse function of tan...

$arctan(x)=tan^{-1}(x)$

then...

$x=tan(y)$

in this case

$arctan(\frac{3}{5})=K$

$\frac{3}{5}=tan(K)$

$\boxed{\boxed{tan(K)=\frac{3}{5}}}$

3 0

3 years ago

Read 2 more answers

How many inches are in 5 1/2

stealth61 [152]

There are 12 inches in every foot 5 x 12 is 60 half a foot would be 12÷2=6 so 60+ 6=66 inches

3 0

3 years ago