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lutik1710 [3]
3 years ago
6

What is the measure of x ?​

Mathematics
1 answer:
allsm [11]3 years ago
3 0

Since a plane is 180 degrees total, x=135

180-45=135

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3. 'a' and 'b' are the intercepts made
Julli [10]

Given:

'a' and 'b' are the intercepts made  by a straight-line with the co- ordinate axes.

3a = b and the line  pass through the point (1, 3).

To find:

The equation of the line.

Solution:

The intercept form of a line is

\dfrac{x}{a}+\dfrac{y}{b}=1         ...(i)

where, a is x-intercept and b is y-intercept.

We have, 3a=b.

\dfrac{x}{a}+\dfrac{y}{3a}=1           ...(ii)

The line  pass through the point (1, 3). So, putting x=1 and y=3, we get

\dfrac{1}{a}+\dfrac{3}{3a}=1

\dfrac{1}{a}+\dfrac{1}{a}=1

\dfrac{2}{a}=1

Multiply both sides by a.

2=a

The value of a is 2. So, x-intercept is 2.

Putting a=2 in b=3a, we get

b=3(2)

b=6

The value of b is 6. So, y-intercept is 6.

Putting a=2 and b=6 in (i), we get

\dfrac{x}{2}+\dfrac{y}{6}=1

Therefore, the equation of the required line in intercept form is \dfrac{x}{2}+\dfrac{y}{6}=1.

5 0
3 years ago
Is the line for the equation y = −8 horizontal or vertical? What is the slope of this line? Select the best answer.
Amanda [17]
The equation is only create a line on the coordinate itself . make a straight line on - 8 of y axis

so it is horizontal and there is no slope

the answer is a
7 0
3 years ago
The length of a rectangle is 7 inches and the width is 42 inches. What is the ratio,
denpristay [2]

Answer:

<u>6 : 1</u>

Step-by-step explanation:

The length is the longer side compared to the width.

Hence, the length is <u>42 inches</u> and width is <u>7 inches</u>.

<u>Taking the ratio</u> :

  • Length : Width
  • 42 : 7
  • 7 x 6 : 7
  • 6 : 1
5 0
2 years ago
Read 2 more answers
65 out of 300 students prefer walking instead of riding. what percent of students prefer walking
docker41 [41]
65/10 would be 21.6 percent
6 0
3 years ago
Read 2 more answers
What is the value of y?<br> log^464 = y<br> OA. 16<br> OB. 8<br> OC. 3<br> OD. 4
Paraphin [41]

The value of y in the given logarithmic equation is 3. The correct option is C. 3

<h3>Evaluating Logarithmic equation </h3>

From the question, we are to determine the value of y in the given logarithmic equation

The given equation is

log_{4}64=y

By applying one of the laws of logarithm, we get

64 = 4^{y}

Now, express 64 in index form,

4^{3} = 4^{y}

Since the bases are equal, we can equal the powers to get

3 = y

∴ y = 3

Hence, the value of y in the given logarithmic equation is 3. The correct option is C. 3

Learn more on Logarithmic equations here: brainly.com/question/237323

#SPJ1

5 0
2 years ago
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