Answer:
x = -7
Step-by-step explanation:
A) y = 96; The maximum number of moose that the forest can sustain at one time.
B) x = 96; The maximum number of moose that the forest can sustain at one time.
C) x = -1.6; The minimum number of moose that the forest can sustain at one time.
D) y = -1.6; The minimum number of moose that the forest can sustain at one time.
Answer:
8x+4
Step-by-step explanation:
4(2x+1)=8x+4
Answer:
8x + 4
Step-by-step explanation:
4 x 2x = 8x
4 x 1 = 4
therefore its:
8x + 4
Brainliest is appreciated
Answer:
The answer is 2 i think
Step-by-step explanation:
I think thats where the gap is
Answer:
m<1 = 60
m<2 = 30
m<3 = 80
Step-by-step explanation:
1. Solve for angle (1)
The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;
(30) + (m<1) + (90) = 180
Simplify,
120 + m<1 = 180
Inverse operations,
m<1 = 60
2. Solve for angle (2)
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,
m<2 = 30
Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.
3. Solve for angle (3)
As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.
(m<2) + (70) + (m<3) = 180
Susbtitute,
30 + 70 + (m<3) = 180
Simplify,
100 + m<3 = 180
Invers eoperations,
m<3 = 80
∠A ≅ ∠T . . . . given
AX ≅ TX . . . . given
∠AXM ≅ ∠TXH . . . . vertical angles are congruent
ΔAXM ≅ ΔTXH . . . . ASA theorem
MX ≅ HX . . . . CPCTC
___
The acronyms that invoke theorems based on two or three sides being congruent are inapplicable in this case.
SSS
SAS
The number of seconds it takes light to travel from Sirius to Earth is .
Given that, the speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth.
We need to find out how many seconds it takes light to travel from Sirius to Earth.
To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
Let the number of seconds it takes light to travel from Sirius to Earth be n seconds
Now, the proportion=
⇒
⇒
Therefore, the number of seconds it takes light to travel from Sirius to Earth is .
To learn more about scientific notation visit:
brainly.com/question/18073768.
#SPJ2
Answer:
2.72 × 10^8 seconds
Step-by-step explanation:
1. Organize the given information to help you create the equation:
- Light travels 1.86 × 10^5 miles per 1 second
- Light travels 5.062 × 10^13 miles per n seconds
- Need to solve for n
2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):
=
3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)
n × (1.86 × 10^5) = 5.062 × 10^13
4. Solve for n by isolating the variable and dividing.
=
n =
n = 2.72 × 10^8 (Make sure to include the unit, seconds)