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Rudiy27
3 years ago
10

Find the value of x and z 20 points lol

Mathematics
1 answer:
Naily [24]3 years ago
3 0

Answers:

<h2>x = 2</h2><h2>z = 117</h2>

Step-by-step explanation:

We can use angle relationships to solve for x and y.

The angles 63° and 6x + 51° are vertical angles. because of this, they must be congruent.

So, 6x + 51 = 63

Subtract 51

6x = 12

Divide by 6

x = 2

Now, we can find z by subtracting 63 from 180, since angles z° and 63° form a line that is 180°. z = 117°.

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Consider the matrix shown below:
balu736 [363]

Answer:

Its Not C or B, tried em and got em wrong

Step-by-step explanation:

8 0
3 years ago
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Need help with a simple problem 2^x=3^x+1
KiRa [710]
For x\ \textgreater \ 0, 2^x\ \textless \ 3^x, all the more 2^x\ \textless \ 3^x+1, therefore no solution.

For x=0, we have 2^0=3^0+1 \Rightarrow 1=1+1 \Rightarrow 1=2. Obviously that' false.

For x\ \textless \ 0 both 2^x and 3^x, where 2^x\ \textgreater \ 3^x, belong to the range (0,1), then 3^x+1 belong to the range (1,2).
Those ranges don't have a common part, therefore, again, no solution.

So, the equation 2^x=3^x+1 doesn't have a solution.

4 0
3 years ago
Multiply: 2.7 × (–3) × (–1.2). A. –9.72 B. –10.8 C. 10.8 D. 9.72
Vikentia [17]

Answer:  \text{ D) } 9.72

Step-by-step explanation:

Here the give expression is,

2.7 \times(-3)\times (-1.2)

We can write,

2.7 \times(-3)\times (-1.2) = 2.7 \times 3.6  ( because -a\times -b = ab)

2.7 \times(-3)\times (-1.2) = 9.72

⇒ Option D is correct.

6 0
3 years ago
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A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of di
Marizza181 [45]

Answer:

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)] (1)

Where:

G(x,y) - Coordinates of the point G, dimensionless.

O(x,y) - Center of dilation, dimensionless.

k - Scale factor, dimensionless.

G'(x,y) - Coordinates of the point G', dimensionless.

If we know that O(x,y) = (0,0), G(x,y) =(2,-2) and G'(x,y) =(5,-5), then scale factor is:

(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]

(5,-5) = (2\cdot k, -2\cdot k)

k = \frac{5}{2}

The dilation on any point of the rectangle is:

P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]

P'(x,y) = \frac{5}{2}\cdot P(x,y) (2)

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

5 0
3 years ago
TIME RE
tester [92]

Answer:

see explanation

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 4, 7 ], thus

z = \frac{g(7)-g(4)}{7-4}

4 0
4 years ago
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