Answer:
X = 5°
Step-by-step explanation:
180° on a straight line.
180 - 100 = 80 angle ABC = 80°
angle ACB is vertically opposite to the 60° given
ACB = 60°
180 - 80 - 60 = 7x+5
40 = 7x + 5
7x = 35
X = 5
Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
* and
and
so
** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form
42-(6x6)+(6x5)
42-36+30
6+30
Answer: 36
Answer:
7.
lateral surface area of traingular prism=perimeter of traingle ×length=[5+3+4]×6=72cm²
curved surface area=2[area oftraingle]=2×1/2×4×3
=12cm²
now
total surface area=72cm²+12cm²=84cm²
8.
volume of traingular prism=area of traingle ×length
=1/2×12×3.4×4=81.6cm³
Kevin will be left with 2 ounces of mixed nuts in the can
Step-by-step explanation:
Given
Total nuts = 16 ounces
As Kevin gave 1/2 of the nuts to his sister, he will be left with

He is left with 8 ounces of mixed nuts
The he eats 3/4 of the remaining

so he is left with 8 - 6 = 2 ounces of mixed nuts
Hence
Kevin will be left with 2 ounces of mixed nuts in the can
Keywords: Fractions, operations on fractions
Learn more about fractions at:
#LearnwithBrainly