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3 years ago

Find the value of x and y

Mathematics

2 answers:

Nikitich [7]3 years ago

6 0

Answer:

x=45 degrees

y=45 degrees

Step-by-step explanation:

erma4kov [3.2K]3 years ago

6 0

Answer: y = 50; x = 34

ABCD is a quadrilateral inscribed in the circle

=> ∠ABD = ∠ACD

⇔ x = 34°

and ∠ADB = ∠ACB

we also have:

∠DCE + ∠ DCB = 180°

⇔ 96° + x + ∠ACB = 180°

⇔ ∠ACB = 180 - 96 - x = 180 - 96 - 34 = 50

because ∠ADB = ∠ACB => y = 50°

Step-by-step explanation:

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The distance from the centroid of a triangle to its vertices are 16cm, 17cm, and 18cm. What is the length of the shortest median

Marizza181 [45]

Answer:

$24$ $\text{cm}$

Step-by-step explanation:

Given: The distance from the centroid of a triangle to its vertices are $16\text{cm}$ , $17\text{cm}$ , and $18\text{cm}$ .

To Find: Length of shortest median.

Solution:

Consider the figure attached

A centroid is an intersection point of medians of a triangle.

Also,

A centroid divides a median in a ratio of 2:1.

Let G be the centroid, and vertices are A,B and C.

length of $\text{AG}$ $=16\text{cm}$

length of $\text{BG}$ $=17\text{cm}$

length of $\text{CG}$ $=18\text{cm}$

as centrod divides median in ratio of $2:1$

length of $\text{AD}$ $=\frac{3}{2}\text{AG}$

$=\frac{3}{2}\times16$

$=24\text{cm}$

length of $\text{BE}$ $=\frac{3}{2}\text{BG}$

$=\frac{3}{2}\times17$

$=\frac{51}{2}\text{cm}$

length of $\text{CF}$ $=\frac{3}{2}\text{CG}$

$=\frac{3}{2}\times18$

$=27\text{cm}$

Hence the shortest median is $\text{AD}$ of length $24\text{cm}$

7 0

3 years ago

the ratio of stars to stripes is 50 to 13. If there were 400 stars in the parade, how many stripes were there?

Black_prince [1.1K]

I believe it's 104. You would set it up as a fraction so:
50/13 and 400/x.
Then you would cross multiply so 13x400 is 5,200. So this divided by 50 = 104. Hope I helped!

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3 years ago

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Alla [95]

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3 years ago

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Fudgin [204]

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4 years ago

Read 2 more answers

In Year 1. Lee Inc. billed its customers $62,000 for services performed. The company collected $51,000 of the amount billed. Lee

Tamiku [17]

Answer:

$62,000

Step-by-step explanation:

Given the following :

Amount billed for services performed = $62,000

Bulled amount collected = $51,000

Operating expenses incurred = $39,000

Account payable = $31000

Cash from issue of common stock = $40,000

Cash invested on land purchase = $21,000

Amount of revenue to be reported in income statement : will be the total amount earned from the goods sales and services rendered. Hence, since the billing Given by Lee for the services rendered in Year 1 is reported as $62,000, Hence the amount of revenue to be reported in the income statement will be $62,000

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3 years ago