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fredd [130]
2 years ago
13

Please help me with the problem

Mathematics
1 answer:
katrin2010 [14]2 years ago
3 0

Answer:

See the attachment.

Step-by-step explanation:

The approach is to take advantage of the definition of a perpendicular bisector to show the base lengths and right angles are congruent, then use SAS with the second side being CD (congruent to itself). It's mainly a matter of deciding what the various reasons are called.

It seems the goal is to show that AC = BC as marked.

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Lupe and her friends spend $20 on hot dogs and popcorn at a
vodomira [7]

Answer:

They buy 6 hotdogs and 5 popcorn

Step-by-step explanation:

Assume that they buy x hotdogs and y popcorn

∵ They buy a total of 11 hotdogs and popcorn

∵ The number of hotdogs is x and the number of popcorn is y

∴ x + y = 11 ⇒ (1)

∵ Hot dogs cost $2.50 each

∵ Popcorn costs $1.00 each

∵ They spend $20 on hot dogs and popcorn

→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20

∴ 2.5(x) + 1(y) = 20

∴ 2.5x + y = 20 ⇒ (2)

Now we have a system of equations to solve it

→ Subtract equation (1) from equation (2)

∵ (2.5x - x) + (y - y) = (20 - 11)

∴ 1.5x + 0 = 9

∴ 1.5x = 9

→ Divide both sides by 1.5 to find x

∴ x = 6

→ Substitute the value of x in equation (1) to find y

∵ 6 + y = 11

→ Subtract 6 from both sides

∴ 6 - 6 + y = 11 - 6

∴ y = 5

∴ They buy 6 hotdogs and 5 popcorn

8 0
2 years ago
Which of the following methods can be used to find the derivative of y = arcsin x with respect to z ?
vfiekz [6]

Answer:

B) Ill only

Step-by-step explanation:

This is because y = arcsin x can be re-written as sin y = x, We then differentiate sin y = x implicitly with respect to z to obtain

d(siny)/dz = dx/dz

(cosy)dy/dz = dx/dz

dy/dz = (1/cosy)dx/dz

5 0
2 years ago
5t^2 - 5.5 - 3.5t + 1.5t^2 +4t
RideAnS [48]
The answer is 6.5t2+0.5t−5.5 , it’s simplified
8 0
2 years ago
Read 2 more answers
John and Alan have a collection of x baseball cards. John has x/4 cards. What fraction of the cards does Alan have?
yulyashka [42]
X-x/4
4x-x/4
3x/4
alan has 3x/4 cards.   
5 0
3 years ago
Morgan is throwing a pizza party. She has 1 7/8 ​ pounds of cheese available and she needs 1/5 pound of cheese to make each pizz
Karolina [17]

We have been given that Morgan is throwing a pizza party. She has 1 7/8 ​ pounds of cheese available and she needs 1/5 pound of cheese to make each pizza. We are asked to find the number of full pizzas that Morgan can make with the amount of cheese she has.

To solve our given problem, we will divide total amount of cheese by amount of cheese used to make each pizza.

\text{Number of pizzas}=1\frac{7}{8}\div \frac{1}{5}

\text{Number of pizzas}=\frac{15}{8}\div \frac{1}{5}

Now we will convert our division problem into multiplication problem by flipping the 2nd fraction.

\text{Number of pizzas}=\frac{15}{8}\times \frac{5}{1}

\text{Number of pizzas}=\frac{75}{8}

\text{Number of pizzas}=9\frac{3}{8}

We are asked to find the number of full pizzas and we can see that Morgan can make 9 full and \frac{3}{8} pizzas.

Since there are 9 full pizzas, therefore, Morgan can make 9 full pizzas with the amount of cheese she has.

3 0
3 years ago
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