Answer:
James answered 51 questions correctly.
Step-by-step explanation:
1) Slide the decimal 2 places to the left in the percentage (85% = .85)
2) Multiply total by new decimal (60 x .85)
3) All done! (51)
Keep in mind that 100% is just 1 whole. Therefor 85% of one whole is .85. In this problem, 60 represents our whole.
9514 1404 393
Answer:
D. y = -3x +4
Step-by-step explanation:
The slope-intercept form is ...
y = mx + b
where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...
y = -3x +4 . . . . . matches choice D
Let
A------> <span>(1, 4)
B------> (6, 4)
C-----> (6,1)
we know that
In </span><span>a right triangle there are two legs and one hypotenuse
</span><span>
step 1
find the distance AB
d=</span>√[(y2-y1)²+(x2-x1)²]------> d=√[(4-4)²+(6-1)²]-----> d=√25----> 5
AB=5 units
step 2
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> d=√[(1-4)²+(6-6)²]-----> d=√9----> 3
BC=3 units
step 3
find the distance AC
d=√[(y2-y1)²+(x2-x1)²]------> d=√[(1-4)²+(6-1)²]-----> d=√34----> 5.83
AC=5.83 units
therefore
the two legs are
AB=5 units
BC=3 units
the hypotenuse is
AC=5.83 units
the answer is<span>
the length of the longer leg is AB=5 units
</span>
see the attached figure
The measure of m<CBD is 63 degrees
<h3>Circle Geometry</h3>
According to line geometry, the sum of angles on a straight line is expressed as:
arcCD + m<CBF = 180
Given that
arcCD= 5x + 3 and;
m<CBF = 11x - 15
Substitute
5x + 3 + 11x - 15 = 180
16x - 12 = 180
16x = 192
x = 12
Determine the measure of m<CBD
m<CBD = arc CD = 5x + 3
m<CBD = 5(12) + 3
m<CBD = 63 degrees
Hence the measure of m<CBD is 63 degrees
Learn more on circle geometry here; brainly.com/question/24375372
Answer:
1
Step-by-step explanation:
David Joyner might be the first name, so you may only have to check 1 name.