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butalik [34]
3 years ago
15

Point P is located at (-3,5)

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:

P' (- 7, - 5 )

Step-by-step explanation:

A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus

P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(- 7, 5 ) → P'(- 7, - 5 )

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What is the value of b?
tresset_1 [31]

Answer:

17

Step-by-step explanation:

Using the law of cosines in ΔABC

b² = a² + c² - (2ac cosB) ← substitute in values

   = 25² + 28² - (2 × 25 × 28 × cos36.9°)

   = 625 + 784 - 1400 cos36.9°

   = 1409 - 1400 cos36.9° ( Take the square root of both sides )

b = \sqrt{1409-1400cos36.9} ≈ 17 ( nearest whole number )

   

8 0
3 years ago
A study is conducted to investigate whether customer satisfaction is greater among computer companies that offer tech support ve
TiliK225 [7]

Answer:

The correct answer is (E).

This is not an experiment because no treatment is being imposed upon the customers. Additionally, this study used a stratified sample because independent random samples were selected from two distinct populations of customers.

Step-by-step explanation:

7 0
2 years ago
Ben sells homemade cards at a craft fair. He wants to earn more than $50 at the fair. He sells his cards for $2 and he has alrea
Kryger [21]

Answer:

He must sell 8 cards to reach the minimum goal.

Step-by-step explanation:

Giving the following information:

He wants to earn more than $50 at the fair.

He sells his cards for $2 and he has already earned $36.

<u>First, we need to calculate the money required to reach the minimum goal:</u>

51 - 36= $15

<u>Now, we write the inequality:</u>

2*x >15

x= number of cards sold.

x>15/2

x> 7.5

He must sell 8 cards to reach the minimum goal.

7 0
3 years ago
Complete the proof by providing the missing statement and reasons
Lisa [10]

Answer:

In triangle SHD and triangle STD.

\overline{SD} \perp \overline{HT}          [Side]

Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.

⇒ \angle SDH = \angle SDT = 90^{\circ}

\overline{SH} \cong \overline{ST}       [leg]               [Given]

Reflexive property states that the value is equal to itself.

\overline{SD} \cong \overline{SD}       [Leg]       [Reflexive property]

HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.


then, by HL theorem;

\triangle SHD \cong \triangle STD                       Proved!



6 0
3 years ago
Mikhael is a technical writer. He is paid $2.95 a page. A normal job has 600 pages and requires about 225 words per page. Mikhae
Sedaia [141]

Answer:

$1770 for 25 hours

Step-by-step explanation:

600 × 225 = 135000

135000 ÷ 90 = 1500 min

1500min=25 hours

$2.95×600= $1770

7 0
2 years ago
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