Answer:
The side s has a length of 4 and side q has a length of 4
⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 : : 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 : : 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 = × 8
∴ 2q = 8
→ Divide both sides by 2
∴ q = 4
∴ The length of q is 4
Answer:
There are no solutions.
Step-by-step explanation:
5x-5=5(x+1)
5x-5=5x+5
+5 +5
5x=5x+10
-5x -5x
0x=10
There are no possible answers.
Hopefully this helps.
The standard form using integers of the equation is 6y - x = 42
<h3>How to determine the standard form</h3>
Note that solving in standard form means writing it as a simple equation
Given y = 1/6x + 7
Find the LCM of the right side, we have
y = 
Cross multiply
6 × y = x + 42
6y = x + 42
Make the variables move to the left side
6y - x = 42
Thus, the standard form using integers of the equation is 6y - x = 42
Learn more about algebraic expressions here:
brainly.com/question/723406
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Answer:
<u>The number is 67</u>
Step-by-step explanation:
<u>Equations</u>
Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.
Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that
Number=10*a+b
The question gives us two conditions:
1) The sum of a two-digits number is 13.
2) The tens digit is 8 less than twice the units digit.
The first condition can be expressed as:
a + b = 13 [1]
And the second condition can be written as:
a = 2b-8 [2]
Replacing [2] into [1], we have:
2b-8 + b = 13
Operating:
3b = 13 + 8
3b = 21
Solving for b:
b = 21 / 3 = 7
Substituting into [2]:
a = 2*(7) - 8 = 6
Thus, the number is 67
<em>Hi!</em>
<em></em>
<em>These can be set up as systems of equations.</em>
<em> </em>
<em>Let b = the number of birds, and let d = the number of dogs.</em>
<em> </em>
<em>b + d = 21</em>
<em> </em>
<em>2b + 4d = 76 (this is because birds have 2 legs and dogs have 4 legs.)</em>
<em> </em>
<em>You can solve this using either elimination or substitution.</em>
<em></em>
<em>Consider marking brainliest.</em>
