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3 years ago

Answer 5, 6 , and 7 by today please.

Mathematics

1 answer:

kherson [118]3 years ago

3 0

Answer:

Step-by-step explanation:

5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2

b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.

6. BD = DB Reflexive property

∠3 = ∠5, ∠4 = ∠6 Alt. int. angles

ΔADB = ΔCDB ASA

7. AB = BC Def. of midpoint

∠1 = ∠2 Given

∠BAE = ∠CBD Corresponding angles

ΔBAE = ΔCBD ASA

∠D = ∠E CPCTC

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Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Rob

Blababa [14]

Question:

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing 7 1/4 ounces. Robin’s basket contains 6 apples, each weighing 6 1/2 ounces. Whose basket is heavier and by how much?

Answer:

Robin’s basket is heavier than Ted’s basket by 2.75 ounces

Step-by-step explanation:

Given:

Ted’s basket contains = 5 apples

Weight of each apple in Ted’s basket = 7 1/4 ounces

Robin’s basket contains = 6 apples

Weight of each apple in Robin’s basket = 6 1/2 ounces

To Find:

Whose basket is heavier and by how much?

Solution:

Step 1: Finding the weight of Ted’s basket

Weight of Ted’s basket = Number of apple in the basket X Weight of each apple

Weight of Ted’s basket = $5 \times 7\frac{1}{4}$

Weight of Ted’s basket = $5 \times \frac{29}{4}$

Weight of Ted’s basket = $\frac{145}{4}$

Weight of Ted’s basket = 36.25 --------------------------------(1)

Step 2: Finding the weight of Robin’s basket

Weight of Robin’s basket = Number of apple in the basket X Weight of each apple

Weight of Robin’s basket = $6 \times 6\frac{1}{2}$

Weight of Robin’s basket = $6 \times \frac{13}{2}$

Weight of Robin’s basket = $\frac{78}{2}$

Weight of Robin’s basket = 39 ounces--------------------------(2)

Comparing equation (1) and (2)

39 - 36.25 = 2.75 ounces

Weight of Robin’s basket > Weight of Ted’s basket

5 0

3 years ago

Can someone help me please and explain.

exis [7]

[This question is such you will not understand a thing without your involvement as well. So follow my step and check by yourself]

First plot both functions on graph (this you gotta do yourself and check because only then you will learn)

How you plot the function?

f(x)=-3x³+5x-5

Put y=f(x)

y=-3x³+5x-5➡eqn(1)

So note the corresponding values of y on putting different values of x in that function.

I'll show u:

When x=0,y=-5 [calculate yourself it's easy just put x=0 and find value of y in eqn(1)]

Similarly,

x=1,y=-3

x=2,y=-19

[Similarly put x=-1,-2..and find corresponding y]

So you got points (0,-5),(1,-3),(2,-19)...plot these points and you have successfully plotted f(x).

Same process for plotting function g(x)....at least 6 points must be plotted.

❇After plotting f(x) and g(x):

1)check by yourself if they have same y-intercept (which is the distance between origin and the point of intersection of y-axis and the curve/line)

2) To check if they have same behavior or not,

increase the value of x[ie,1,2,3...] and note the corresponding value of y in function f(x) . Then decrease value of x[ie,-1,-2,-3..] and note corresponding value of y [note that y means function or f(x)]

Suppose f(x) has following end behavior:

When x increases f(x) tends to decrease

and when x decreases f(x) tends to increase

Now find end behavior of g(x) also..and if above end behavior matches with g(x), they will have same end behavior.

3) check by yourself by looking in plotted graphs of f(x) and g(x) whether they have at least one x-intercept or not.

4)g(x) is even function but f(x) is odd function.

So, g(x) is symmetrical over y-axis but f(x) is not.

5) Actually most of the algebraic polynomial functions don't show periodicity(but trigonometric and exponential function do). You can check by yourself by looking in plotted graph. If graph seems to be repeating same behavior it is periodic otherwise not. I am sure the given functions are not periodic. {Plz google periodic function if you want to know more}

3 0

3 years ago

The data shown on the scatter plot below demonstrates the relationship between the time of day and the total number

viva [34]

Answer:

Good question! The correct answer is a) increases and b) increases.

While the pair of answers a) decreases and b) decreases or the pair a) stays the same and b) stays the same would be technically correct answers, this is the best way of describing the trend of the scatter plot; typically, trends are described by how the dependent or y-variable responds to the independent or x-variable increasing.

6 0

3 years ago

Cheyenne took out a 30-year loan for $350,000 at 2.9% interest, compounded monthly. If her monthly payment on the loan will rema

Leto [7]

The answer is d.

Explanation:

1456.80 per month
1456.80 times 12 = how much per year
17481.6 = how much per year
17481.6 times 30 years = 524448
$524448 - the original loan(350,000) = $174,448

6 0

3 years ago

Read 2 more answers

George studied 3/4 hour on monday and 7/8 hour on tuesday. how long did he study altogether on both days?

pentagon [3]

$\dfrac{3}{4}+\dfrac{7}{8}=\dfrac{3\cdot2}{4\cdot2}+\dfrac{7}{8}=\dfrac{6}{8}+\dfrac{7}{8}=\dfrac{6+7}{8}=\dfrac{13}{8}=\dfrac{8+5}{8}=\dfrac{8}{8}+\dfrac{5}{8}=1\dfrac{5}{8}\\\\Answer:\boxed{1\frac{5}{8}\ hour.}$

5 0

3 years ago