Two angle measures in a scalene triangle are 38° and 25°. What is the measure of the third angle?

The quotient of two negative integers results in an integer. How does the value of the quotient compared the value of the origin

Taya2010 [7]

The first two were negative integers and the quotient is therefor a positive integer (Two negatives equal a positive)

5 0

3 years ago

Dolly is measuring the angles of a triangle. He measures the first two angles of a triangle and gets 30 and 100. How could he fi

Natalija [7]

Answer:

the third angle is 50 degress

Step-by-step explanation:

the angle sum property states that the sum of all the interior angles of a triangle is 180.

therefore : 30 + 100 + x = 180

x = 180 - 130

x = 50

8 0

2 years ago

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Find the equation of the line that is parallel to the given line and passes through the given point

Sati [7]

Answer:

$\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}$

$\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}$

$\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}$

$x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1$

$\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4$

5 0

3 years ago

The original price of a bicycle is $130. The sale price is 60% of the original price. What is the sale price of the bicycle?

djverab [1.8K]

Answer:

$78

Step-by-step explanation:

To find a portion of anything, you just multiply your first item by the equivalent decimal of your percent. Let's put it into action in this problem:

If your original price of your bike is $130, and you are trying to find the sale price, which is 60% (aka 0.6) of your original price. Now, like I previously mentioned, to find the portion of your price, you just want to multiply your OG price (130) by the decimal equivalent of your sale, (0.6). So 130*0.6=78

3 0

2 years ago

What is the equivalent mixed number to 23/4

lora16 [44]

5 3/4
5 remainder 3
Is the mixed number

4 0

3 years ago

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