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shepuryov [24]
3 years ago
12

The sum of two number is 91. The smaller number is thirteen less than the large number. Find both numbers.

Mathematics
1 answer:
Feliz [49]3 years ago
7 0
What you would do is make the equation:
91=X+(X-13)
Then, you would solve for X and once you find X, you would subtract 13 from it.
The answers should be 52 and 39.
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4 0
3 years ago
Read 2 more answers
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
ivanzaharov [21]

Answer:

x = 6

y = 3

Step-by-step explanation:

Give triangle is a right triangle.

By applying sine ratio in the given triangle,

sin(60)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}

x = 6

Now we take the cosine ratio in the given triangle,

cos(60)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{y}{x}

y = \frac{x}{2}

y = \frac{6}{2}=3

Therefore, x = 6 and y = 3 will be the answer.

3 0
3 years ago
What is the value of x?
defon

Answer:

X=35

Step-by-step explanation:

6X =45 SO ANSWER TO THE QUESTION IS 35

5 0
4 years ago
Special Right Trianglws
Masteriza [31]

Answer:

x = 2\sqrt7

y = 2\sqrt7

Step-by-step explanation:

Hello!

This is a right isosceles triangle (45°-45°-90°). You can solve for the missing angle by simply subtracting 45° and 90° from 180° (sum of angles in a triangle equals 180°)

Since the triangle is isosceles, x and y are congruent because they are the legs opposite to the congruent angles.

In a right isosceles triangle, the hypotenuse is always the measure of one leg multiplied by \sqrt2.

So, let's use leg y, y\sqrt2 = 2\sqrt{14}

Solve for y:

y\sqrt2 = 2\sqrt{14}\\\\y = $\frac{2\sqrt{14}}{\sqrt2}$\\\\y = 2\sqrt7

y = 2\sqrt7, which means that x is also 2\sqrt7

3 0
3 years ago
The graph of a line passes through the points (0, -2) and (6.0). What is
9966 [12]

Answer:

y=\frac{1}{3}x-2

Step-by-step explanation:

The equation of a line is given in the form  y=mx+b

Where

m is the slope with formula  m=\frac{y_2-y_1}{x_2-x_1}

and

b is the y-intercept [y axis cutting point of line]

Given the two points (0, -2) and (6,0),

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Now, we find m using formula:

m=\frac{0+2}{6-0}=\frac{1}{3}

Now we have

y=\frac{1}{3}x+b

Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:

y=\frac{1}{3}x+b\\0=\frac{1}{3}(6)+b\\0=2+b\\b=-2

Thus,

equation of line = y=\frac{1}{3}x-2

5 0
3 years ago
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