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4 years ago

Help a girly out plsss :(

1 answer:

3 0

After 28 months Keyna will have paid $8050 for the bike at either dealer

If you needed to show your work:
The first dealer equation would've been $2450+200(28)=$8050
The second dealer equation would've been $3150 +175(28)=$8050

Hope that helped (:

You might be interested in

At the doctor's office, there is a scale that measures people's weight. The needle is 20 cm long, and it rotated 100° when Frank

Mashutka [201]

Given:
length of the needle: 20 cm
angle 100°

We need to solve for the length of an arc to get the distance the needle has traveled.

Length of an Arc = n°/360° * 2πr
Length of an Arc = 100°/360° * 2 * 3.14 * 20cm
Length of an Arc = 0.28 * 125.6 cm
Length of an Arc = 35.17 cm

4 0

4 years ago

Read 2 more answers

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

<u><em>Verify each statement</em></u>

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

4 years ago

Question 3 please :) (exact values)

Travka [436]

Answer:

(a) h = 160 - 5·x

(b) V = 4·x² × h = 4·x² × (160 - 5·x) = 640·x² - 20·x³ = 20·x²·(32 - x)

∴ V = 20·x²·(32 - x)

Step-by-step explanation:

(a) The given dimensions of the cuboid (rectangular prism) are;

'4·x' meters by 'x' meters by 'h' meters

Let the 4·x meters represent the length, 'l', of the cuboid, let the x meters represent the width, 'w', of the cuboid, and let the h meters represent the height 'h' of the cuboid

Therefore, we are given that the cuboid is a wire cage, with the total length of the sides (edges) of the cuboid equal to 640 meters

Therefore, the sum of the edges are;

Top(4·x + x + 4·x + x) + Side(h + h + h + h) + Bottom(4·x + x + 4·x + x) = 640

20·x + 4·h = 640

∴ h = (640 - 20·x)/4 = 160 - 5·x

h = 160 - 5·x

(b) The volume of a cuboid, V, is given as follows;

V = The area of the base of the cuboid × The height of the cuboid

The area of the base of the cuboid = l × w = 4·x × x = 4·x²

The height of the cuboid = h = 160 - 5·x

∴ V = 4·x² × (160 - 5·x) = 640·x² - 20·x³

V = 640·x² - 20·x³ = 20·x²·(32 - x)

∴ V = 20·x²·(32 - x) QED.

8 0

3 years ago

You have a part-time job paying $8.95/hr and your deductions are FICA (7.65%), federal tax withholding (9.3%), and state tax wit

Masja [62]

15 hrs a week at 8.95 per hr = (15 * 8.95) = 134.25 gross pay

FICA (7.65%)....0.0765(134.25) = 10.27
fed.tax (9.3%)...0.093(134.25) = 12.49
state tax (5.8%)..0.058(134.25) = 7.79
total taxes : 10.27 + 12.49 + 7.79 = 30.55

savings account money = 30

134.25 - (30.55 + 30) =
134.25 - 60.55 = 73.70...its gonna be the last one because I did a little rounding up above

3 0

4 years ago

What is the value of A and B and if you can please show how you got that answer

son4ous [18]

Answer:

a = 4.5 units

b = 7.5 units

Step-by-step explanation:

By using mean proportional theorem in the ΔACB,

ΔACB ~ ΔADC ~ ΔCDB

$\frac{AD}{CD}=\frac{CD}{DB}$