1. Approximate the measure of your angle. Angles can be categorized in three ways: acute, obtuse, and right. Acute angles are less than 90 degrees, obtuse angles are greater than 90 degrees, and right angles are exactly 90 degrees.
2. Place the origin over the center point, or vertex, of the angle you want to measure. The small hole in the middle of the protractor is the origin. Put the vertex of the angle with the center of the cross in the origin.
3. Rotate the protractor to line up one leg of the angle with the baseline. Maintain the vertex of the angle in the origin and rotate the protractor so that one of the legs of the angle falls on the baseline of the protractor.<span>The baseline is even to the edge, but is not the flat edge of the protractor. It is lined up with the center of the origin and the line projects to the start of the scale on either side.
</span>4. Follow the opposite leg of the angle up to the measurements on the protractor's arc. If the line does not pass through the protractor’s arc, make the angle's line longer until it does. You can align the edge of a piece of paper with the angle’s leg to pass beyond the edge of the protractor, continuing the line of the angle. The number the line passes through is the angle's measurement in degrees. <span><span>
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Ok, first you have to know that 0.25 is one fourth. Finding one fourth of 60 is the first step. 1/4 of 60 is 15. Now, add 3 to 15, and you have your answer! The answer is 18 pounds.
Answer:
C
Step-by-step explanation:
Complementary angles add up to 90°, so you can use the equation, 90°= 67°+X°. To solve this, you need to subtract 67° from both sides to get 23°=X°
Answer:
4
Step-by-step explanation:
Since the question is asking how long will it take him if he has to drive 240 miles and he drives 60 mph, this can be interpreted as division.
Now that we have converted the words into math, we are really solving 240 ÷ 60 or
.
240 divided by 60 is the same as 24 divided by 6 because we can cancel the 0's.
Solving:
24 ÷ 6 = 4.
Thus, our answer is that it will take Charlie 4 hours to get to Dallas.
So leangh of ladder=2x+1
bottom edgre=x-1
wall edge=2x
so therefor, since this is a right triangle, use pythagorean theorem
a^2+b^2=c^2
c=hypotonues=longest side
b and a=sides touching the right angle
so x-1 and 2x are a and b
2x+1=c
subsitute
(x-1)^2+(2x)^2=(2x+1)^2
x^2-2x+1+4x^2=4x^2+4x+1
add like terms
5x^2-2x+1=4x^2+4x+1
subtract 1 from both sdies
5x^2-2x=4x^2+4x
subtract 4x from both sdies
5x^2-6x=4x^2
subtract 4x^2 from both sides
x^2-6x =0
factor out the x using distributive property which is
ab+ac=a(b+c)
x^2-6x=x(x-6)
(x)(x-6)=0
if xy=0 then assume x and/or y=0
x=0
we remember that one of the side legnths is 2x and if x=0 then the side legnth=0 which is not possible, so we discard
x-6=0
add 6 to both sides
x=6
subsitute and solve
legnth of ladder=2x+1
x=6 subsitute
2(6)+1=12+1=13
legnth of ladder =13 feet
height=2x
2(6)=12
height=12 feet
base=x-1
6-1=5
legnth of ladder=13 feet
height=12 feet
base=5 feet