Answer:
Part 1) m∠1=45°
Part 2) m∠3=45°
Part 3) m∠2=135°
Part 4) m∠4=135°
Step-by-step explanation:
we know that
m∠1=m∠3 -----> by vertical angles Equation A
m∠2=m∠4 -----> by vertical angles Equation B
m∠1+m∠2=180° ----> by supplementary angles (linear pair) Equation C
3(m∠1+m∠3) = m∠2+m∠4 ----> Equation D
Substitute equation A and equation B in equation D
3(m∠1+m∠1) = m∠2+m∠2
6(m∠1) = 2m∠2
3(m∠1) =m∠2 -----> equation E
Substitute equation E in equation C and solve for m∠1
m∠1+3(m∠1)=180°
4(m∠1)=180°
m∠1=45°
<em>Find the measure of m∠3</em>
Remember that
m∠1=m∠3 (equation A)
therefore
m∠3=45°
<em>Find the measure of m∠2</em>
Remember that
m∠2=3(m∠1) (equation E)
substitute the value of m∠1
m∠2=3(45°)=135°
<em>Find the measure of m∠4</em>
Remember that
m∠2=m∠4 (equation B)
therefore
m∠4=135°
Answer:
{ Pythagorean Theorem}
{Division property of Equality}
sin 0=a/c{definition of sin0)
cos0=b/c{definition of cos0)
{Substitution}
Step-by-step explanation:
Answer:
2 pounds of coffee costing $4 should be mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.30 a pound.
Step-by-step explanation:
Given that coffee costing $4 a pound mixed with 3 pounds of coffee costing $4.50 a pound . we have to find the number of pounds of coffee mixed with 3 pounds of coffee costing $4.50 a pound to obtain a mixture costing $4.30 a pound.
Let x be the pounds of coffee mixed.
Cost of coffee of 3 pounds costing $4.50 a pound is 3(4.50)=$13.5
Total weight of mixture=x+3
The cost per pound of the mixture will be the total value of the coffee in the mixture divided by the total weight of the mixture which is 4x+13.5 divided by total weight 3 + x.
∴ A/Q the equation becomes

⇒ 4x+13.5=4.30(3)+4.3x
⇒ 0.6=0.3x
⇒ x=2
Hence, 2 pounds of coffee costing $4 should be mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.30 a pound.
you will have to do letter c witch was:
Step 1: Add the price of the tickets and the amount spent on food.
Step 2: Add the amount of the tax.
Step 3: Divide that total by 2.
Answer:
A. 11.4
Step-by-step explanation:

Data:
P = 7
r = 0.07
Calculation:
