Answer:
Ratio of goat to total number of animals at the zoo = 2 : 5
Step-by-step explanation:
Chickens = 2
Deer = 4
Donkeys = 3
Goats = 6
Total animals at the zoo = 15
what is the ratio of goats to the total number of animals at the zoo?
Ratio of goat to total number of animals at the zoo = 6 : 15
= 6/15
= 2/5
Ratio of goat to total number of animals at the zoo = 2 : 5
Answer:
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Answer:
Translated 1 to the right and up one
Step-by-step explanation:
When the number is inside the parenthesis with x, that value represents a horizontal shift. because the original equation is (x-h), the opposite sign of the x value must be taken. so in this case the x value would be +1 because that is the opposite of -1, which means the function is being moved one to the right. when the number is being added to the outiside of the parenthesis, then you take that value for the vertical translations of the graph. because the original equation is (x-h)+k, then in this case there would be a vertical shift up by 1
9514 1404 393
Answer:
x +4y = -5
Step-by-step explanation:
The equation of the perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The new constant can be found by substituting the point values into the equation.
3x +12y = 3(-5) +12(0)
3x +12y = -15
We notice that all of the values include a factor of 3. We can divide that out to put the equation in standard form:
x + 4y = -5
9514 1404 393
Answer:
∠CAB = 28°
∠DAC = 64°
Step-by-step explanation:
What you do in each case is make use of the relationships you know about angles in a triangle and around parallel lines. You can also use the relationships you know about diagonals in a rectangle, and the triangles they create.
<u>Left</u>
Take advantage of the fact that ∆AEB is isosceles, so the angles at A and B in that triangle are the same. If we call that angle measure x, then we have the sum of angles in that triangle is ...
x + x + ∠AEB = 180°
2x = 180° -124° = 56°
x = 28°
The measure of angle CAB is 28°.
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<u>Right</u>
Sides AD and BC are parallel, so diagonal AC can be considered a transversal. The two angles we're concerned with are alternate interior angles, so are congruent.
∠BCA = ∠DAC = 64°
The measure of angle DAC is 64°.
(Another way to look at this is that triangles BCE and DAE are congruent isosceles triangles, so corresponding angles are congruent.)
