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Ronch [10]
2 years ago
8

What is the nth term rule of the linear sequence below? -9, -5, -1,3,7,...

Mathematics
1 answer:
xenn [34]2 years ago
7 0

Answer:

Step-by-step explanation:

Given sequence

-9, -5, -1,3,7,...

Is A.P(,airthmetic progression)

So

nth term of an A.P =a+(n-1)d

Where a=first term (-9)

D=difference=(-5)-(-9)=4

So nth term=-9+(n-1)4

=4n-13

Answer is 4n-13

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What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.
Maksim231197 [3]

Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE  are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS.

Step-by-step explanation:

Given: ΔXYZ and ΔEFG such that ∠X=∠F

To prove they are congruent by using ASA or AAS conruency criteria

we need only one angle and side.

1. ∠Z ≅ ∠G(angle) and XZ ≅ FG(side)

so we can apply ASA  such that ΔXYZ ≅ ΔFEG.

2. ∠Z ≅ ∠G (angle)and ∠Y ≅ ∠E (angle), we need one side which is not present here.∴we can not apply ASA  such that ΔXYZ ≅ ΔFEG.

3. XZ ≅ FG (side) and ZY ≅ GE (side), we need one angle which is not present here.∴we can not apply ASA  such that ΔXYZ ≅ ΔFEG.

4. XY ≅ EF(side) and ZY ≅ FG(side), not possible.

5. ∠Z ≅ ∠G(angle) and XY ≅ FE(side),so we can apply ASA  such that

ΔXYZ ≅ ΔFEG.

4 0
2 years ago
Read 2 more answers
A worker drives a 0.500 kg spike into a rail tie with a 2.50 kg sledgeham-
Marianna [84]

Total internal energy increases by 1760 J

Step-by-step explanation:

The kinetic energy of an object is the energy possessed by the object due to its motion.

It is calculated as

KE=\frac{1}{2}mv^2

where

m is the mass of the object

v is its speed

For the hammer in this problem:

m = 2.50 kg

v = 65.0 m/s

So its kinetic energy is

KE=\frac{1}{2}(2.50)(65)^2=5281 J

Then the problem says that 1/3 of the hammer's kinetic energy is converted into internal energy: therefore, the total internal energy increases by

\frac{1}{3}KE=\frac{1}{3}(5281)=1760 J

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

8 0
2 years ago
What is the value of the algebraic expression x=1/2, y=1, and z=2? 6x(y2z)
alexandr1967 [171]
Is 12 I think so !! try it
5 0
2 years ago
A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?
Pie

Answer:

(D) is the right answer

Step-by-step explanation:

The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.

A triangular pyramid has four faces.  So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.

A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.

B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.

C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.

D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.

So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.


8 0
2 years ago
A local Latin restaurant specializes in Peruvian, Cuban, and Tex-Mex cuisines in their recipes. Lomo Saltado, “Beef Stir-fry,” i
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Answer:

The cost per meal not including the $5

Step-by-step explanation:

or whatever is says something like that

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2 years ago
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