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Sedbober [7]
3 years ago
10

Graph the solution of the inequality. -4 < 2t < 2 PLZ HELP NOW

Mathematics
2 answers:
Ludmilka [50]3 years ago
4 0

Answer:

Firstly you have to divide by 2 to get 't' so -4/2=-2

2/2=1

so the simplified inequality= -2<t<1

< and > are both illustrated as hollow circles so on a number line put a hollow circle on -2 and 1 and attach with a line

oee [108]3 years ago
3 0

Answer:

B

Step-by-step explanation:

-4<= 2t <2

-4/2<= t <2/2

-2<= t <1

(Its touches -2 but doesnt touch 1)

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In the diagram, VZ/YZ=WZ/XZ. To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used
Vitek1552 [10]

Answer:

The angles \angle VZW\cong \angle YZX are used to prove the similarity of triangles VWZ and YXZ.

Step-by-step explanation:

Given information: \frac{VZ}{YZ}=\frac{WZ}{XZ}

Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.

If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.

From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.

\angle VZW=\angle YZX                   (Vertically opposite angles)

\frac{VZ}{YZ}=\frac{WZ}{XZ}                (Given)

By SAS rule of similarity

VWZ\sim YXZ

Therefore the angles \angle VZW\cong \angle YZX are used to prove the similarity of triangles VWZ and YXZ.

4 0
3 years ago
Read 2 more answers
Are these correct? If not please help me write the correct answer.​
Keith_Richards [23]

Answer:

Mostly correct

For Q3, you are doing great, you remembered that negative numbers can happen if the exponent is an odd number.

For Q4, I think you were confused with the fractions,

4(i)

(\frac{2}{3} )^{4} = (\frac{2^{4}}{3^{4}}) = (\frac{16}{81}) =0.198

4(ii) is also wrong but I'll let you try to fix it yourself following what I given you for 4(i). You should get 1/64

Hope this helps!

4 0
3 years ago
Read 2 more answers
How to factor completely 2x^2+19x+24
Gnom [1K]
2=2*1,1*2
24=1*24,2*12,6*4,3*8
19=2*8+3

2x²+19x+24
(2x+3)(x+8)

or
2x(x+8)+3(x+8)
2x²+16x+3x+24
2x²+19x+24
6 0
3 years ago
Find the degree measure of each angle in the triangle. Giving brainly
Lena [83]

Answer:

∠ I = 39°, ∠ J = 51°, ∠ K = 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the3 angles and equate to 180

3x + 21 + 5x + 21 + 90 = 180, that is

8x + 132 = 180 ( subtract 132 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Then

∠ I = 3x + 21 = 3(6) + 21 = 18 + 21 = 39°

∠ J = 5x + 21 = 5(6) + 21 = 30 + 21 = 51°

∠ K = 90°

5 0
2 years ago
the Wall Street Journal reported that automobile crashes cost United States $162 billion annually. The average cost per person f
Tanya [424]

Answer:

a) Margin of error = 166.311

b) sample size ≥ 62

Step-by-step explanation:

Given:

Average cost = $1599

Sample size = 50 persons

Standard deviation = $600

Confidence level is 95%

a) Margin of error = z\frac{\sigma}{\sqrt{n}}

Now for confidence level of 95% z-value = 1.96

Thus,

Margin of error = 1.96\frac{600}{\sqrt{50}}

or

Margin of error = 166.311

b) For Margin of error ≤ 150

z\frac{\sigma}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{150} ≤ √n

or

√n ≥ 7.84

or

n ≥ 61.4656

Therefore,

sample size ≥ 62

6 0
3 years ago
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