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3 years ago

Use rhombus TQRS below for questions what is the value of x? what is the value of y?

Mathematics

1 answer:

sladkih [1.3K]3 years ago

6 0

The value of x is 1.

The value of y is 4.

Solution:

Given TQRS is a rhombus.

<u>Property of rhombus: </u>

Diagonals bisect each other.

In diagonal TR

⇒ 3x + 2 = y + 1

⇒ 3x – y = –1 – – – – (1)

In diagonal QS

⇒ x + 3 = y

⇒ x – y = –3 – – – – (2)

Solve (1) and (2) by subtracting

⇒ 3x – y – (x – y) = –1 – (–3)

⇒ 3x – y – x + y = –1 + 3

⇒ 2x = 2

⇒ x = 1

Substitute x = 1 in equation (2), we get

⇒ 1 – y = –3

⇒ –y = –3 – 1

⇒ –y = –4

⇒ y = 4

The value of x is 1.

The value of y is 4.

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Someone help me for this algebra task please

Gekata [30.6K]

Answer:

200

Step-by-step explanation:

Substitute 15 for y

$\frac{1}{5} x - \frac{2}{3} (15) = 30$

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3 0

3 years ago

Please explain every step

pogonyaev

<h3>Answer:</h3>

761680

<h3>Explanation:</h3>

$\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}$

<u>Identify the following's</u>:

First Term [a] = 60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r] = 1.2

Total Terms [n] = 44

===========================

$\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}$

===========================

Solving Steps:

<em /> $\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}$ <em />

<em />

<em /> $\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}$ <em />

<em />

<em /> $\rightarrow \sf 761679.5808$ <em />

<em />

$\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)$

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2 years ago

kylie worked 40 hours this week. She worked 7/10 of the hours outside and the rest inside. How many hours did he work outside?

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2 years ago

I have a LCM and GCF homework can someone help i dont understand??

Sindrei [870]

Alright,

So LCM stands for "least common multiple"
While GCF is "greatest common factor"

Let's look at your number 1 (3&6)

3,6,9,12
6,12,18,24

Both times table has 6 in them making 6 the LCM

To find the GCF we need to know what can go into 3 equally. Since 3 is prime the greatest factor for 3 is....3. 6 goes into 3 two times so 3 is the GCF.

LCM:6
GCF:3

Lets do number 10 (40&4)

For LCM you see whats the smallest number that is in both times tables

4,8,12,16,20,24,28.......40
40,80, 160....

40 is the LCM because 40 is what's the smallest number between the two

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4 times 1 equals 4. Nothing bigger than 4 can make 4 (if your multiplying). That makes 4 automatically the GCF. :)

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