Answer:
the correct answer is 77°
Step-by-step explanation:
Angle GHJ and IHJ form supplementary angles which add up to 180°
therefore angle IHJ=180-154
angle IHJ=26°
Triangle IHJ is an isosceles triangle whose base angles HIJand IJH are equal. Lets assign them the same value, x° each
since the sum of all interior angles of a triangle add up to 180°, then x°+x°+26°=180°
2x+26=180
2x=154°
x=77°
Therefore both HIJ and IJH measure 77°
Answer:
. In other words, there number of girls is
.
Step-by-step explanation:
The average of a number of measurements is equal to the sum of these measurements over the number of measurements.
.
Rewrite to obtain:
.
For this question:
.
.
Therefore:
.
On the other hand, there are
boys and girls in total. Using the formula for average:
.
From the question, this average should be equal to
. In other words:
.
Solve this equation for
to obtain:
.
.
.
In other words, the number of girls here is
.
Answer:
442 miles
Step-by-step explanation:
Given
To properly solve this question, I illustrate some given parameters using attached image
From the image, apply Pythagoras theorem

Differentiate w.r.t time (t)


Divide both sides by 2

From the question, we have that the plan travels are 510mi/h.
This implies that:

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

Apply Pythagoras theorem






So, the expression becomes:








<em>Hence, the distance is 442 miles</em>
PEMDAS:
247/100 = 2.47
247* 100 = 24700
*You must ALWAYS apply the exponents first, THEN divide the equation.
Answer:
When you think rectangles, you think areas. Small areas aggregate to form bigger ones.
If you drew a rectangle, it's easy to divide it into smaller units by simply taking a line through its midsection from one length to the other and one width to the other. One can either form smaller squares or rectangles from a larger one.
When that is one, you'd have taken the larger area of a rectangle which is simply the product of the value of its length and it's the breadth, and divided it into smaller units.
Cheers!