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3 years ago

__ What is the length of AB? A. 6 B. 9 C. 3 D. 12

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

7 0

$\angle A\cong\angle C\ \text{thereofre the triangle ABC is an isosceles triangle}\\\text{Therefore we have the equation:}\\\\4x=2x+6\ \ \ \ \ |subtract\ 2x\ from\ both\ sides\\2x=6\ \ \ \ \ |divide\ both\ sides\ by\ 2\\\boxed{x=3}\\\\AB=4x\to AB=4\cdot3=12\\\\ANSWER:\ D.\ 12$

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You’ve been asked to order cake for your school dance. Here’s a formula for the scenario: z=xa/y

olga nikolaevna [1]

Answer:

The number of cake for order is 15 cakes .

Step-by-step explanation:

Given as :

Total number of people to attend the dance = x = 60

The number of slices each person will eat = A = 2 slices

The number of slices per cake = y = 8 slices

Let The number of cake for order = z

Now, According to question

Total slices of cake required for 60 people when each people eat 2 slices = total number of people × number of slices each person will eat

i.e Total slices of cake required for 60 people when each people eat 2 slices = x × A

Or, Total slices of cake required for 60 people when each people eat 2 slices = 60 × 2 slices

Or,Total slices of cake required for 60 people when each people eat 2 slices = 120 slices

Again

∵ number of slices per cake = 8

∴ The number of cake for order = $\dfrac{\textrm Total slices of cake required for 60 people when each people eat 2 slices}{\textrm number of slices per cake }$

Or, z = $\frac{x\times A}{y}$

i.e z = $\frac{120}{8}$

∴ z = 15 cakes

So,The number of cake for order = z = 15 cakes

Hence,The number of cake for order is 15 cakes . Answer

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3 years ago

The perimeter of an equilateral triangle is 83 inches. If the length of each side is (2x -3), find the value of x.

Minchanka [31]

Answer:

$x = 15 \frac{1}{3}$

Step-by-step explanation:

Equilateral triangles have 3 equal sides.

Thus, perimeter of triangle

= 3(2x -3)

= 3(2x) +3(-3) (expand)

= (6x -9) inches

Given that the perimeter is 83 inches,

6x -9= 83

6x= 83 +9 (+9 on both sides)

6x= 92

$x = 15 \frac{1}{3}$

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3 years ago

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As the altitude approaches sea level, the atmospheric pressure increases.

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3 years ago

Please help find ordered pairs for #14

ale4655 [162]

Those could be

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Hope this helps.

If you have any questions, place it in the comment section below.

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3 years ago