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3 years ago

The variable is Z is inversely proportional to X. When X is 6, Z has the value 0.5. What is the value of Z when X = 10

1 answer:

6 0

Given that z is inversely proportional to x, then:
zα1/x
hence;
z=k/x
where k is the constant of proportionality;
this implies that:
k=xz
when x=6,z=0.5
thus;
k=0.5*6
k=3
hence;
z=3/x
when x=10,
z=3/10
the answer is 3/10

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Determine whether the triangles are similar. If so, write a similarity statement. answers:: A) The triangles are similar; ΔQRS ∼

olya-2409 [2.1K]

Answer:

C) The triangles are not similar

Step-by-step explanation:

There are 3 triangle similarity theorems:

If two of the angles are the same, the third angle is the same and the triangles are similar.
If the three sides are in the same proportions, the triangles are similar.
If two sides are in the same proportions and the included angle is the same, the triangles are similar.

We can find the all the angles of both triangles, so we can determine the similarity of these triangles only by first theorem

Angles of ΔQRS:

<Q = 63°

<R = 90°

<S = 180°-63°-90° = 27°

Angles of ΔTUV:

<T=180°-90°-25° = 65°

<U = 90°

<V = 25°

As none of the angles are same, triangles are not similar.

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3 years ago

Jon has 3/5 of a dollar, pasha has $0.65, Marie has 7/10 of a dollar, and Karen has $0.62.who has the smallest the smallest amou

Zigmanuir [339]

Answer:

Jon

Step-by-step explanation:

Jon: 3/5 (divide)

=0.6

Pasha: 0.65

Marie: 7/10 (divide)

=0.7

Karen: 0.62

8 0

3 years ago

If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).

Feliz [49]

Answer:

(f + g)(x) = 5x + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Functions
Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 6

g(x) = 3x + 9

(f + g)(x) is f(x) + g(x)

Step 2: Find

Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9
Combine like terms: (f + g)(x) = 5x + 3

4 0

2 years ago

What is the equation, in standard form, of a parabola that contains the following points? (-2,18),(0,4),(4,24)

nydimaria [60]

Y=ax² + bx + c and A(-2,18), B(0.4), C(4,24) given

1)Let's determine 1st the value of c in using the pair of B
4= a(0)² + b(0) + c , c=4 and y=ax²+bx+4

2) Use the pair of A: 18 = 4a -2b + 4===> 4a-2b=14

3) Use C pair: 24 = 16a+4b+4 ==> 16a+4b=20

4) solve the system equation in 2) and 3) and you'll find a=2 and b=-3

Hence the equation is y =2x²-3x+4

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3 years ago

Find the value of x. 60o 79o 70o 47o

LekaFEV [45]

180-2(55)-x=0
180-110-x=0
70-x=0
-x=-70
x=70°

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3 years ago