Answer:
The value of DC is 66.34.
Step-by-step explanation:
The triangles ABC and DCA are right angled triangles.
The straight line AC is a bisector for angles C and A.
The measure of ∠C is 30°.
Then the measure of angles BCA and ACD will be 15° each.
The measure of angle DAB is 150°.
Then the measure of angles DAC and BAC will be 75° each.
Now consider the right angled triangle ABC.
The measure of side AC is:
Consider the right angled triangle DCA.
The angle DAC measure 75°.
Using the trigonometric identities compute the value of Perpendicular DC as follows:
Thus, the value of DC is 66.34.
Answer:
$2.10
Step-by-step explanation:
Given: Regular price of vest is $15.99
Sales price of vest is $13.99
Sales tax= 5%
As given, there is difference in regular price and price on sales
∴ saving before tax=
saving before tax= $2
Now, applying tax on both price to look at the saving on vest.
Tax on regular price=
⇒ Tax on regular price=
∴ Price of vest after applied on regular price= .
Next Tax applied on discounted price of vest.
Tax applied on discounted price=
⇒ Tax applied on discounted price=
Finding difference of price of vest to know the saving on sale.
Saving on vest=
Hence, Saving on buying vest on sale is $2.10
Answer:
x=6
Step-by-step explanation:
all u have to do is 5+1 =6
and 6 is the awser
Answer:
30
Step-by-step explanation:
A player answers x correct questions and y incorrect questions for a total of 40 questions.
x + y = 40
The score is obtained by subtracting y incorrect answers from two times the x of correct answers. The player's score is 50.
2x - y = 50
Use substitution to solve. Rearrange the first equation so that it is equal to y. Then, substitute the y-value into the second equation.
x + y = 40
y = 40 - x
2x - y = 50
2x - (40 - x) = 50
2x - 40 + x = 50
3x - 40 = 50
3x = 90
x = 30
Since x was made to represent correct answers, the player had 30 correct answers.