First, write an equation system for the problem
For example, x represents the first angle and y represents the second angle
An equation for "t<span>he measure of an angle is seventeen times the measure of a complementary angle" is
</span>∴ <span>x = 17y
The sum of complementary angle is 90</span>°. It can be written as<span>
</span>∴ x + y = 90°
<span>
Second, use subtitution method to find the value of x and y
Subtitute x with 17y
x + y = 90</span>°
17y + y = 90°
18y = 90°
y = 90°/18
y = 5°
Subtitute y with 5°
x = 17y
x = 17(5)
x = 85°
The measure of each angle is 5° and 85°
Solutions
<span>A circle is divided into 9 equals parts. A circle is a round, therefore it has 360°. To solve the problem we have to use division.
360</span>° ÷ 9 = 40
40° is the <span>angle measure of two of those parts. </span>
Answer:
Equation in slope intercept form: y = -2x -1
Step-by-step explanation:
First you must convert this equation from standard form to slope intercept form (y=mx+b).
Subtract 6x on both sides to get 3y = -6x - 3. Then divide by 3 on both sides to get y = -2x - 1.
Now to graph:
First we will plot the y-intercept, which will be (0,-1). The point will be on the y-axis, since that's the point in which the line will cross.
Next we will go down 2 units and over to the right 1 unit, until we get to the next point.
(Picture is attached above for your convenience⤴⤴⤴)
Hope this helps you :)
So the circumference of a circle is C=2 times pi times the radius. in this case it would be C= 2(pi)(4) which is 25.1 :)
Answer:
1. The Principle of superposition states that a strata of rock is younger than the one over which it is laid.
2. The intrusion of the younger rock by the principle of cross-cutting relationship
3. The intrusion igneous rock arrived after the rock it is found in had already been in place and is stable.
Step-by-step explanation:
In geology, the Principle of superposition states that, in its originally laid down state, a strata sequence consists of older rocks over which younger rocks are laid. That is, a stratum of rock is younger than the stratum upon which it rests.
The principle of cross cutting relationships in a geologic intrusion occurrence, the feature which intrudes or cut across another feature is always than the feature it cuts across.
The reason is that based on the geologic time frame, the rock 1 which ws cut across by rock 2 was already in the geologic zone in a more steady state than rock , therefore it is older than the cutting rock 2.
