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3 years ago

Triangle BED is located at B(1,1),E(3,1), and D(2,5). If the triangle is dilated by 3, what is the new location of E?

Mathematics

1 answer:

Nadya [2.5K]3 years ago

6 0

I’ve attached my work...
Hope it helps!

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.Natalie has $680 to spend at a bicycle store for some new gear and biking outfits.Assume all prices listed include tax.She buys

Vitek1552 [10]

Answer:

Writing the inequality, we have;

$420.56+32.43x\leq680$

the solution to the inequality is;

$x\leq8$

Explanation:

Given that Natalie has $680 to spend at a bicycle store for some new gear and biking outfits.

Total spending must not exceed $680

$\text{total spending }\leq680$

She buys a new bicycle for $383.33.

• She buys 2 bicycle reflectors for $7.61 each and a pair of bike gloves for $22.01.

She plans to spend some or all of the money she has left to buy new biking outfits

for $32.43 each.

let x represent the number of biking outfits she can buy.

Total spending is;

$\begin{gathered} 383.33+2(7.61)+22.01+32.43(x) \\ 420.56+32.43x \end{gathered}$

Writing the inequality, we have;

$420.56+32.43x\leq680$

we can now solve the inequality;

$\begin{gathered} 420.56+32.43x\leq680 \\ \text{subtract 420.56 from both sides;} \\ 420.56-420.56+32.43x\leq680-420.56 \\ 32.43x\leq259.44 \\ \text{divide both sides by 32.43} \\ \frac{32.43x}{32.43}\leq\frac{259.44}{32.43} \\ x\leq8 \end{gathered}$

Therefore, the solution to the inequality is;

$x\leq8$

6 0

1 year ago

Find the value of x

den301095 [7]

x = 20 is the answer.

Step-by-step explanation:

When a parallel lines cut by a transversal, then the alternate exterior angles are congruent.

So the given 2 angles add up to 180 degrees.

5x+ 9 + 3x+ 11 = 180

8x + 20 = 180

8x = 180 - 20 = 160

x = 160/8 = 20

5 0

3 years ago

The two men measure the angle of elevation to the highest point on the rock to be 22.6°. They

IgorC [24]

Answer:

15 m

Step-by-step explanation:

Refer to attached picture

The height = h
Angles of elevation 22.6° and 38.3°
Closer distance = d

Use tangent to solve

tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
tan 38.3° = h/d ⇒ h = d tan 38.3° ⇒ h = 0.79d

Compare the equations above and find the value of d:

0.42(d + 17) = 0.79d
0.42d + 7.14 = 0.79d
0.79d - 0.42d = 7.14
0.37 d = 7.14
d = 7.14/0.37
d = 19.3 m

Now find the value of h:

h = 0.79d
h = 0.79*19.3
h = 15

Wave Rock is 15 m tall

3 0

3 years ago

Change the following subtraction expression to addition: 2 - 11

tester [92]

Answer:

I think it would be 2+ -11

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Amount Financed (m) = $1,860 Number of Payments per year (y) = 12 Number of Payments (n) = 36 Total Interest (c) = $350.00

Luda [366]

Hi there
The formula to find I (ARP)

I=(2yc)/(m×(1+n)
I=(2×12×350)÷(1,860×(1+36))
I=0.1221×100
I=12.21%

Good luck!

8 0

3 years ago