Fit Fast: a set feet per class => y = Ax
Stepping Up: a monthly fee plus an additioal fee per class => h = Bx + C
You can discard the second and the fourth systems because they do not have the form established from the statement.
The first system produce an obvious result given that is represents an option that is always better than the other 5.5x will be lower than 7.5x + 10 for any positive value of x, and so there is no need to make any comparission.
The third system is
y = 7.5x and y = 5.5x + 10 which need to be solved to determine when one rate is more convenient than the other.
Answer: y = 7.5x and y = 5..5x + 10
Well, Kate and Harry together are walking 100 meters per minute. Which means it will take them 25 minutes to reach each other (I think).
If the dog is running 120 meters per minute: 120 x 25 = 3,000.
The dog will run 3,000 meters (if he runs constantly to and from the spot that Kate and and Harry started).
Answer:12 blue marbles
Step-by-step explanation:
I by 5 percent chance of blue marble
Let the number of blue marbles be x
X/60=1/5
5x=60
X=60/5
X=12
1. Angles ADC and CDB are supplementary, thus
m∠ADC+m∠CDB=180°.
Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.
2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then
m∠CDB=m∠CBD=65°.
The sum of the measures of interior angles of triangle is 180°, therefore,
m∠CDB+m∠CBD+m∠BCD=180° and
m∠BCD=180°-65°-65°=50°.
3. Triangle ABC is isosceles, with base BC. Then
m∠ABC=m∠ACB.
From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So
m∠ACB=65°.
4. Angles BCD and DCA together form angle ACB. This gives you
m∠ACB=m∠ACD+m∠BCD,
m∠ACD=65°-50°=15°.
Answer: 15°.
Answer: It is equal to the measure of angle C.
Step-by-step explanation:
If we know that Triangle ABC isosceles, then that means two sides and two angles are congruent to each other. Angle A must the topmost angle, and Angle B and C are probably the base angles. So, saying that, the base angles and sides are congruent to each other. Hence, Angle B must be equal to Angle C.