<u>Complete Question</u>
In triangle ABC: AC=10
, AB=5., Angle C = 30 degrees.
In Triangle DEF: ED= 7.5
, DF=15, Angle F =30 degrees
, Angle E = 90 degrees.
Answer:
A, D and E
Step-by-step explanation:
The diagram is drawn and attached below.
- Triangle ABC is similar to Triangle DEF. (Option E)
Writing it backwards:
- Triangle CBA is similar to Triangle FED. (Option A)
Also,
- Triangle BAC is similar to EDF. (Option D).
Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.
Probably the subsitution method
y=1/2x
subsitute that fr y
2x+3(1/2x)=28
2x+3/2x=28
times 2 both sides
4x+3x=56
7x=56
divide by 7 both sides
x=8
sub back
y=1/2x
y=1/2(8)
y=4
(x,y)
(8,4)
Outlier would be 25 because is the number that is the farthest away from the other numbers
Answer:
To solve the first inequality, you need to subtract 6 from both sides of the inequality, to obtain 4n≤12. This can then be cancelled down to n≤3 by dividing both sides by 4. To solve the second inequality, we first need to eliminate the fraction by multiplying both sides of the inequality by the denominator, obtaining 5n>n^2+4. Since this inequality involves a quadratic expression, we need to convert it into the form of an^2+bn+c<0 before attempting to solve it. In this case, we subtract 5n from both sides of the inequality to obtain n^2-5n+4<0. The next step is to factorise this inequality. To factorise we must find two numbers that can be added to obtain -5 and that can be multiplied to obtain 4. Quick mental mathematics will tell you that these two numbers are -4 and -1 (for inequalities that are more difficult to factorise mentally, you can just use the quadratic equation that can be found in your data booklet) so we can write the inequality as (n-4)(n-1)<0. For inequalities where the co-efficient of n^2 is positive and the the inequality is <0, the range of n must be between the two values of n whereby the factorised expresion equals zero, which are n=1 and n=4. Therefore, the solution is 1<n<4 and we can check this by substituting in n=3, which satisfies the inequality since (3-4)(3-1)=-2<0. Since n is an integer, the expressions n≤3 and n<4 are the same. Therefore, we can write the final answer as either 1<n<4, or n>1 and n≤3.
5/6 of an hour is 50 min. So 50 times 3 equals 150 min for reading. 3/4 of an hour is 45 min. 45 times 2 equals 90 min for science. And 1/2 of an hour is 30 min. So 30 times 4 equals 120 mins for math. Add 150,90, and 120 min all together and you get 360 mins total. Divide 360 by 60, and you get 6 hours total that Michaela spent on reading, math, and science. Not 2 1/2.
