Answer:
X = 6°
Step-by-step explanation:
In a set of parallel lines, the opposite angles and corresponding angles are similar. Since the opposite angle of 110° is the corresponding angle of 19x - 4, you can conclude that 19x - 4 = 110° ⇒ 19x = 114° ⇒ x = 6°.
Answer:
10 i think
Step-by-step explanation:
The equation of a hyperbola is:
(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1
So what we have to do is to look for the values of the variables:
<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>
<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>
<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>
<span>b^2 = 49 – 9</span>
<span>b^2 = 40
</span>
Therefore the equation of the hyperbola is:
<span>(x^2 / 9) – (y^2 / 40) = 1</span>
Answer:
y = 27/7
Step-by-step explanation:
Perform the indicated multiplication:
3(4y-7)=15y+6 becomes:
12y - 21 = 5y + 6
Combining like terms, we get:
7y = 27, so that y = 27/7
Using the combination formula, it is found that Julia can take 15 combinations.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
For this problem, 4 students are taken from a set of 6, hence the number of combinations is given as follows:
More can be learned about the combination formula at brainly.com/question/25821700
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