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denis23 [38]
2 years ago
12

What is the common difference between the elements of the arithmetic sequence below?

Mathematics
2 answers:
Grace [21]2 years ago
8 0
In mathematics, an arithmetic<span> progression (AP) or </span>arithmetic sequence<span> is a </span>sequence<span> of numbers such that the difference between the consecutive terms is constant. The common difference would be calculated as follows:
</span>

–36 - –31.5  = - 4.5 
–27 - –22.5  = -4.5

Therefore, the common difference is -4.5. 
fredd [130]2 years ago
3 0
All numbers in each number add up to 9, i dont know if you understand me, 
for example:
1+8=9
2+2+5=9
2+7=9
.....

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If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not?
Paul [167]

Answer: The ΔVZX and ΔWXZ are not congruent by SAS.

Explanation:

It is given that the VX = WZ = 40 cm and ∠ZVX = ∠XWZ = 22°.

Draw a figure as shown below,

According to the SAS rule of congruence, two triangles are congruent if two sides and their inclined angle is equal.

From the given figure it is easily noticed that in ΔVZX and ΔWXZ,

VX=WZ=40cm       (given)

\angle ZVX=\angle XWZ=22^{\circ}     (given)

XZ=XZ      (common side)

Since we have two sides and one angle is same. but we can not conclude that the ΔVZX and ΔWXZ are congruent by SAS, because the given angle is not the inclined angle of both equal sides.

Therefore, the  ΔVZX and ΔWXZ are not congruent by SAS.

4 0
2 years ago
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The measure of the vertex angle in an isosceles triangle is six less than four time the measure of the base angle. find the meas
blagie [28]
An isosceles triangle is a special type of triangle that has two equal sides. Consequently, the two base angles are also equal. Since the interior angles of a triangle should sum up to 180°, the general equation should be

180° = 2*Base angle + Vertex angle

Let the base angle be x. Thus, the vertex angle is equal to
Vertex angle = 4x - 6
Substituting,
180 = 2x + 4x - 6
x = 31°

Vertex angle = 4(31°) - 6 
Vertex angle = 118°
5 0
2 years ago
1.Design a number line containing five (5) points 2.Benin, one of the smallest count pinstripes in Africa, has a total area of 4
gtnhenbr [62]
1.Design a number line containing five (5) points
 For this case what you should do is place a line with five points.
 You can think of one of the axes of the Cartesian plane, for example, the x-axis. We place five separate points in that line the same distance.
 line: 0 1 2 3 4 5

 a. Round off the total population to the nearest hundred thousand people
 nearest hundred thousand means
 100,000
 Then rounding off we have:
 10,160,555
 hundred thousand: 10,161,000 
 b. Round off Benin's area in square miles to the nearest thousand.

 nearest thousand means
 1,000
 Then rounding off we have:
 43,475
 thousand: 44,000

 Round off the number of miles of surfaced roads to the nearest ten. nearest ten means
 10
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 870
 ten: 870

d. Round off the number of people who live in rural areas to the nearest million
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5 0
2 years ago
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Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.
bazaltina [42]
<span>45% -------------------------------chance that the land has oil

then
55</span>%--------------------------------chance that the land not have oil

<span>80% -------------------accuracy rate of indicating oil in the soil. (if land does have oil)
20</span>% -------------------accuracy rate of indicating not oil in the soil. (if land does have oil)

20% ---------------------accuracy rate of indicating oil in the soil. (if land has not oil)
80% ---------------------accuracy rate of indicating not oil in the soil. (if land has not oil)

 that the land has no oil----------------55%
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then 0.55*0.20=0.11=11%
the probability that the land has no oil and the test shows that it has oil is 11%
3 0
2 years ago
An airplane travels at 950 km/h. how long does it take to travel 1.00km? in hours
Kay [80]
<span>An airplane travels at 950 km/h. how long does it take to travel 1.00km? in hours, 0.0010526 hrs.</span>
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