A - price of the senior citizen ticket
b - price of the student ticket
{4a+5b=102
{7a+5b=126
3a=24 → a=8
5b=102-32
5b=70
b=14
price of the senior citizen ticket is $8
price of the student ticket is $14
we know that
dynamic pressure formula is
that is density
P is pressure
v is velocity
ACD by AAS.
We're given m1 = m2, ADC = ADB, and both triangles share AD, so it must be AAS.
ABD by SAS.
We're given AB = AE and AC = AD, but the middle part is a mystery. We're not given BD and CE/ADB and ACE so it's pretty hard to know. Could be SAS or SSS. If you have either BD and CE, it's SSS. If you have ADB and ACE, it's SAS.
Took Geometry 4 years ago so I'm a bit iffy on the second. Forgive me D:
Answer:
Area of the new triangle = 0.28125ab square units.
Step-by-step explanation:
Take an example of a right-angled triangle with sides a, b and c.
Where a is the height and b is the base and c is the hypotenuse.
Area of the original triangle is given by: 
× base × height
In our case, area = × a × b
After the dimensions of our triangle have been decreased to 75%, new area becomes:
× 0.75a × 0.75b = 0.28125ab square units.
Using proportions, it is found that:
a) A raise of $500 would be equivalent to a percentage of 80%.
b) From the above percentage, it would fall into the Gold Award range.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using arithmetic operations such as multiplication and division.
One example of application of proportions is for percentage problems, as a percentage is given by the amount a divided by the total amount b, and multiplied by 100%.
The goal of the raise is of $625, hence b = 625, and considering a raise of $500, a = 500, hence the percentage of the raise is given as follows:
500/625 x 100% = 80%.
To find the range of the raise, we look at the table. For a percentage of 80%, the amount is a Gold Award contribution.
More can be learned about proportions at brainly.com/question/24372153
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