Answer:
Option B is correct.
Angle DAC is congruent to angle DAB
Step-by-step explanation:
Given: Segment AC is congruent to segment AB.
In ΔABD and ΔACD
[Given]
[Congruent sides have the same length]
AB = AC [Side]
AD = AD [Common side]
[Angle]
Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Then by SAS,
By CPCT [Corresponding Parts of congruent Triangles are congruent]
then;
therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB
The new player's personal time is 4.5 seconds.
<h3>What is the new player's personal time?</h3>
The first step is to determine the total time the 5 persons complete the dash.
Total time = 5 x 5.7 = 28.5 seconds
The second step is to determine the total time for the 6 people to complete the dash.
Total time = 6 x 5.5 = 33 seconds
The third step is to find the difference of the time in the previous two steps: 33 - 28.5 = 4.5 seconds
To learn more about mean, please check: brainly.com/question/25842202
So first we need to find the total before tax. Let's add up the two prices:
So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:
Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):
This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:
So now we know that
Jon's total bill for these items is $405.77.
Answer:
y < 1
Step-by-step explanation:
graphing with inequality
<span>(3x-4)+(x+3)^2
= 3x - 4 + x^2 + 6x + 9 .........(expand using (a+b)^2 = a^2 + 2ab + b^2)
= x^2 + 9x + 5 ..........(combine like terms and simplify)
hope that helps</span>
