0.0075Gm converted to km

Answers

Answer 1

Answer: 1Gigameter(Gm)= 1000000 km
0.0075Gm=0.0075 divide by 1000000
=0.0000000075km

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Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right.Match Term Definition x2 – 8x – 20 A) (x – 5)(x + 4) x2 + 8x – 20 B) (x – 10)(x + 2) x2 – x – 20 C) Prime x2 – 9x – 20 D) (x – 2)(x + 10)
Can someone help me with this please
What does 1/5 plus two thirds equal

Given: ∠LKM ≅ ∠JKM∠LMK ≅ ∠JMK

Prove: ∆LKM ≅ ∆JKM

Which method can you use to prove these triangles congruent?

the ASA Postulate

the SAS Postulate

the HL Theorem

the AAS Theorem

Answers

Answer: the ASA Postulate

Step-by-step explanation:

In the given picture , we have two triangles ∆LKM and ∆JKM , in which we have

$\angle{LKM}\cong\angle{JKM}\n\n\angle{LMK}\cong\angle{JMK}$

$\overline{KM}\cong\overline{KM}$ [common]

By using ASA congruence postulate , we have

∆LKM and ∆JKM

ASA congruence postulate tells that if two angles and the included side of a triangle are congruent to two angles and the included side of other triangle then the triangles are congruent.

Answer:

ASA

Step-by-step explanation:

An animal shelter spends $1.50 per day to care for each bird and $8.50 per day to care for each cat. Alexander noticed that the shelter spent $108.00 caring for birds and cats on Tuesday. Alexander found a record showing that there were a total of 30 birds and cats on Tuesday. How many birds were at the shelter on Tuesday?

Answers

Answer:

21 birds.

Step-by-step explanation:

Let B represent the number of birds and C represent the number of cats.

We have been given that an animal shelter spends $1.50 per day to care for each bird, so the amount spent on B birds will be 1.50B.

The animal shelter spends $8.50 per day to care for each cat, so the amount spent on C cats will be 8.50C.

Alexander noticed that the shelter spent $108.00 caring for birds and cats on Tuesday. We can represent this information in an equation as:

$1.50B+8.50C=108...(1)$

Alexander found a record showing that there were a total of 30 birds and cats on Tuesday. We can represent this information in an equation as:

$B+C=30...(2)$

We will use substitution method to solve system of linear equations.

From equation (2) we will get,

$C=30-B$

Substituting this value in equation (1) we will get,

$1.50B+8.50(30-B)=108$

$1.50B+255-8.50B=108$

$255-7B=108$

Let us subtract 255 from both sides of our equation.

$255-255+7C=108-255$

$-7B=-147$

Let us divide both sides of our equation by -7.

$(-7B)/(-7)=(-147)/(-7)$

$B=21$

Therefore, there were 21 birds at the shelter on Tuesday.

Josie bought a new mirror. The mirror has 5 sides. What is the shape of the mirror? Hexagon B. C. D. Square Pentagon Heptagon 18. The perimeter of a church window is 80 inches. If the window is in the shape of a square, what is the length of each side of the window? A. B. C. D. 20 inches 40 inches 15 inches 60 inches

Answers

The mirror has 5 sides. Its shape is a pentagon. Penta means 5.

Perimeter of a church window is 80 inches. If the window is square shaped, its length of each side is 20 inches.

80 inches / 4 sides = 20 inches.

The shape of the mirror is Pentagon.

18. the length of each side of the church window is 20 inches, option A is correct.

Josie's mirror has 5 sides, which means it is a polygon with five edges.

The specific term used to describe a polygon with five sides is a pentagon.

A pentagon is a geometric shape with five sides and five angles. Each side of a regular pentagon is of equal length, and each interior angle measures 108 degrees.

In the case of Josie's mirror, since it has 5 sides, it is referred to as a pentagon.

18. Given that the church window has a perimeter of 80 inches and it is in the shape of a square.

We can find the length of each side by dividing the perimeter by 4 (since a square has four equal sides).

Perimeter = 4 × Length of each side

80 inches = 4 × Length of each side

Dividing both sides by 4:

Length of each side = 80 inches / 4

= 20 inches

Therefore, the length of each side of the church window is 20 inches.

To learn more on Perimeter click:

brainly.com/question/7486523

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Factor completely 9ab + 12ax − 6b − 8x.Prime

(3b − 4x)(3a − 2)

(3b + 4x)(3a − 2)

(3b + 4x)(3a + 2)

Answers

Okay so you split 9ab + 12ax - 6b - 8x
             into two 2-term polynomials
              + 12ax + 9ab   and     - 6b - 8x
             doesn't look that good to me so lest try other one :
             9ab + 12ax   and     - 6b - 8x
             looks good for now

            Pull out from each binomial separately
             9ab + 12ax   =   3a • (3b + 4x)
              - 6b - 8x   =    - 2 • (3b + 4x)

           Add up to arrive at the desired factorization so now you have
             (3a - 2) • (3b + 4x)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope that Helped!

Answer:

C: (3b + 4x)(3a − 2) is the correct answer.

Step-by-step explanation:

Evaluate log (base 9) 27. Can someone explain this one for me so i could do some tasks on my own?

Answers

$log_927=log_93^3=3log_93=3log_9\sqrt9=3log_99^(1)/(2)\n\n=(1)/(2)\cdot3log_99=(3)/(2)$

You would use some properties of the logarithm. First, $log_927=log_(3^2)27=(1)/(2)log_327$ . So, now you have $log_327$ to calculate. It's $log_33^3=3$ , so the final result is $(1)/(2)*3=(3)/(2)$
Hope it helps.

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Answers

f(x) = 4 - x² g(x) = 6x

(g - f)(x) = g(x) - f(x)

(g - f)(3) = g(3) - f(3)

g(x) = 6x

g(3) = 6*3 = 18

f(x) = 4 - x²

f(3) = 4 - 3² = 4 - 9 = -5

(g - f)(3) = g(3) - f(3) = 18 - (-5) = 18 + 5 = 23

(g - f)(3) = 23

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Choose a scenario that could be represented by 2/5