All categories

2 years ago

What is the value of a?

Mathematics

1 answer:

4vir4ik [10]2 years ago

5 0

Answer:

$\huge\boxed{a=\dfrac{16}{3}=5\dfrac{1}{3}}$

Step-by-step explanation:

$\triangle ZYW\sim\triangle WYX\ (AAA)\\\\\text{Therefore corresponding sides are in proportion}\\\\\dfrac{YX}{YW}=\dfrac{YW}{ZY}\\\\\text{substitute}\\\\YX=a;\ YW=4;\ ZY=3\\\\\dfrac{a}{4}=\dfrac{4}{3}\qquad\text{multiply both sides by 4}\\\\4\cdot\dfrac{a}{4}=4\cdot\dfrac{4}{3}\qquad\text{cancel 4}\\\\a=\dfrac{16}{3}$

You might be interested in

If x>2,then x2-x-6/x2-4=

statuscvo [17]

$\frac{x^2-x-6}{x^2-4}=(*)\\------------\\x^2-x-6=0\\a=1;\ b=-1;\ c=-6\\\Delta=b^2-4ac;\ \Delta=(-1)^2-4\cdot1\cdot(-6)=1+24=25\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\x_1=\frac{1-\sqrt{25}}{2\cdot1}=\frac{1-5}{2}=\frac{-4}{2}=-2\\\\x_2=\frac{1+\sqrt{25}}{2\cdot1}=\frac{1+5}{2}=\frac{6}{2}=3\\\\x^2-x-6=(x+2)(x-3)$
$---------------------\\x^2-4=x^2-2^2=(x-2)(x+2)\\-------------------\\\\(*)=\frac{(x+2)(x-3)}{(x-2)(x+2)}=\frac{x-3}{x-2}$

6 0

3 years ago

I need help in learning how to solve this equation using substitution:

Tomtit [17]

Answer:

x=3, z=-1, y=6

Step-by-step explanation:

you need to make the coefficients of each variable equal to each other then subtract 2 equations.

this one: multiply -4 in 1st

4x+4y+4z=32

-4x+4y+5z=7

_____________

8x+0-z=25

we have 2 equations with 2 variables now

2x+2z=4

8x-z=25

4 0

2 years ago

Help me with this pls

Rufina [12.5K]

Answer:

b^-6

Step-by-step explanation:

(b^-2) / (b^4) = b^(-2 - 4)

3 0

2 years ago

Read 2 more answers

Suppose that the data in a scatterplot are randomly located so that there is no relationship between x and y. Which of the follo

Sever21 [200]

I think you forgot to give the options along with this question. Based on my research and knowledge, i am answering the question and hope that the answer comes to your help. Zero correlation is the one that actually describes this situation correctly as "x" and "y" do not have any kind of relationship. I hope the answer comes to your help.

7 0

3 years ago

Manny has just filled out his deposit ticket for his savings account. He hands it to the teller and the teller hands it back to

anyanavicka [17]

He has to put how much he is depositing

3 0

2 years ago

Read 2 more answers