If ∠BAE = 45° and ∠CED = 70° is ΔABE ~ ΔCDE? If so, by what criterion?A) yes, by AA criterion
B) yes, by SAS criterion
C) yes, by SSA criterion
D) no, not possible to tell.
Answers
Answer:
ΔABE ~ ΔCDE by AA criterion .
Option (A) is correct .
Step-by-step explanation:
As given
∠BAE = 45° and ∠CED = 70°
Now in the ΔABE .
By apply angle sum property of a triangles .
∠ABE + ∠BEA + ∠BAE = 180 °
(As ∠BAE = 45° , ∠ABE = 65°)
65 + ∠BEA + 45 = 180 °
∠BEA = 180° - (65+45)°
∠BEA = 180° - 110°
∠BEA = 70°
As in ΔCED .
∠CDE + ∠DEC + ∠ECD = 180°
(As ∠CED = 70° , ∠CDE = 65°)
65 + 70+ ∠ECD = 180°
∠ECD = 180° - (65+70)°
∠ECD = 180° - 135°
∠ECD = 45°
Now in the ΔABE and ΔCDE .
(1) ∠BAE =∠ECD = 45°
(2) ∠BEA=∠CED = 70°
(3) ∠ABE = ∠CDE = 65°
Thus ΔABE ~ ΔCDE by AA criterion .
Option (A) is correct .
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Answers
The required solution is $83,550 raised.
It is required to find the amount did they raise.
What is percentage?
A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
For a precision coffee press=$15000
Supporters=714
Raised= 557% of their goal.
According to given question we have,
They raise
15000 x 5.57
= $83,550 raised
Therefore, the required solution is $83,550 raised.
Learn more about percentage here:
#SPJ2
Their aim was 15000, so if they raised 100% of their goal, they wouldve raised exactly 15000.
They raised 557%, so how much did they make?
Proportion:
$15000 100%
$x 557%
Our expression would be x=$15000*557% divided by 100%, which would be $83550, so... a lot of money.
(we did an “x” formation with the proportion, ie “connected” x with 100, and “connected” 15k and 557. The number connecting to x is what we divide the equation by, and the other two are multiplied and then divided by the first number connecting to x. Otherwise we couldve calculated 557% of 15000 and gotten the same result. Whichever way is easier for you :) )
Answers
Answer:
90
Step-by-step explanation:
To solve this you must make a proportion of x/150 60/100. Then you need to find the relation between 100 and 150 which is x 1.5. Then apply the same thing to 60 which results in 90.
Answer: 250
You must set this up as a proportion
Remember the percent is always over 100
150/x=60/100
Then solve the proportion
60x=15000
Get the x by its self
15000/60 is 250
x=250
Answers
Answer:
Fifth Day (1024 pounds)
Step-by-step explanation:
For every subsequent day, he collected 4 times the previous day.
This increase is a ratio/product, therefore the sequence is a geometric sequence.
The nth term of a geometric sequence,
Where:
a=first term
r=common ratio
n=number of terms
Corey collected 4 pounds of newspaper on day 1., a=4
After day one he collected 4 times the amount and for every subsequent day, he collected 4 times the previous day. r=4
We want to determine on which day he will first collect over a 1000 pounds of new paper.
In order to apply law of indices, we look for the next term greater than 250 which is an index of 4.
Therefore on the fifth day, he will collect an amount over 1000 pounds, precisely 1024 pounds.
y=2x+6
y= -3x+16
Answers