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3 years ago

For the arithmetic sequence below, find the common difference and the next 3 terms. 12, 16, 20, 24, 28,

Mathematics

2 answers:

earnstyle [38]3 years ago

6 0

Answer:

Step-by-step explanation:

6th term.

7th term.

WARRIOR [948]3 years ago

5 0

The common difference is 4. Arithmetic sequences are adding one number on every number and geometry is multiplying by one number.

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graph the number that represents the situation on a number line. please help with this question i will mark you brainliest!

Alja [10]

Answer:

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2 years ago

Use two 2-Column proofs to show that either diagonal of a rectangle will create two congruent triangles?

tangare [24]

Given: Rectangle ABCD
Prove: ∆ABD≅∆CBD
Solution:

 Statement Reason

ABCD is a parallelogram Rectangles are parallelograms since the definition of a parallelogram is a quadrilateral with two pairs of parallel sides.

Segment AD = Segment BC The opposite sides of a parallelogram are Segment AB = Segment CD congruent. This is a theorem about the parallelograms.

∆ABD≅∆CBD SSS postulate: three sides of ΔABD is equal to the three sides of ∆CBD

Given: Rectangle ABCD
Prove: ∆ABC≅∆ADC
Solution:

 Statement Reason

Angle A and Angle C Definition of a rectangle: A quadrilateral
are right angles with four right angles.

Angle A = Angle C Since both are right angles, they are congruent

Segment AB = Segment DC The opposite sides of a parallelogram are Segment AD = Segment BC congruent. This is a theorem about the parallelograms.

∆ABC≅∆ADC SAS postulate: two sides and included angle of ΔABC is congruent to the two sides and included angle of ∆CBD

6 0

3 years ago

Suppose a camping tent has a center pole that is 6 feet high. If the sides of the tent make 40° angles with the ground, how wide

puteri [66]

X = half width of tent
Tan(40) = 6/x
x = 6/Tan(40) = 7.15
2x = 14.30 feet the width of the tent

8 0

3 years ago

Scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extreme anxiety). The scores are normally distributed with a

solniwko [45]

Answer:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Step-by-step explanation:

The following information is missing in the question:

We have to find z-score for the given score on this dental anxiety scale: 12, 6

We are given the following information in the question:

Mean, μ = 11

Standard Deviation, σ = 4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

where x is the given score on this dental anxiety scale.

For x = 12

$z_{score} = \displaystyle\frac{12-11}{4} = 0.25$

For x = 6

$z_{score} = \displaystyle\frac{6-11}{4} = -1.25$

6 0

3 years ago

The circumference of a circle is 138.16 centimeters. What is the area of the circle?

vodomira [7]

Circumference formula tells you $C=2 \pi r$

 $C=2 \pi r$
 $138.16=2 \pi r$
 $21.99= r$
 $r=21.99cm$ 
The formula to find the area of a circle is $A= \pi r^2$

 $A= \pi r^2$
 $A= \pi (21.99)^2$
 $A= \pi (483.56)$
 $A= 1519cm^2$

6 0

3 years ago