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ad-work [718]
3 years ago
7

the sales tax on the purchase of a futon is 33.53.if the tax rate is 7%,find the purchase price of the futon.

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0
2.3471 or 2 dollars and 35 cents
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Given the following diagram, find the missing measure.<br>*​
BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, m\angle2=\frac{4}{3}x^\circ, m∠3 = 20°

Exterior angle theorem:

<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>

By this theorem,

m∠4 = m∠2 + m∠3

$2x^\circ=\frac{4}{3}x^\circ+20^\circ

Subtract \frac{4}{3}x^\circ on both sides of the equation.

$2x^\circ-\frac{4}{3}x^\circ=20^\circ

To make the denominator same and then subtract.

$\frac{6}{3}x^\circ -\frac{4}{3}x^\circ=20^\circ

$\frac{2}{3}x^\circ =20^\circ

Multiply by \frac{3}{2} on both sides of the equation.

x° = 30°

x = 30

Hence option C is the correct answer.

6 0
3 years ago
Name the expression based on its degree and number terms 7a³+4a-12​
Eddi Din [679]
3terms = trinomial (7a^2, 4a, -12)
Degree of each term 2nd, 1st, constant
Largest degree: 2nd

Answer: 2nd degree trinomial
6 0
3 years ago
If p=5 and q=6, evaluate the following expression:2p+3q/4​
suter [353]

Answer:

7

Step-by-step explanation:

Substitute in numbers : 2(5)+3(6) /4

Combine Like Terms : 10+18/4 = 28/4

Answer : 7

8 0
2 years ago
What is the measure of &lt;1?
QveST [7]

Answer:

79°

Step-by-step explanation:

Angle one is an alternate exterior angle to the angle that has 79° in it so angle one will equal 79°.

3 0
3 years ago
Read 2 more answers
Homework Question Help
harkovskaia [24]

Answer:

A=49 degrees

a= 41 degrees

b=90 degrees

Step-by-step explanation:

its asking for the degrees?

5 0
2 years ago
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