Answer:
Step-by-step explanation:
In the question, we're given . Therefore, the measure of these two angles must be equal.
To find the value of , set these two angles equal to each other:
Add 26 and subtract from both sides:
Divide both sides by 3:
Since was labelled as , substitute to find its measure:
You can also substitute into the label of angle D as angle A is congruent to angle D for easier calculations ().
Answer:
The area of the square base is 100 in.2.
The area of each triangular face is 40 in.2.
Alexander will need 260 in.2 of paint.
Step-by-step explanation:
I dan't have an explanation I just guessed.
Answer:
Step-by-step explanation:
We are asked to find x, a missing side in a triangle.
This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:
- sinθ= opposite/hypotenuse
- cosθ= adjacent/hypotenuse
- tanθ= opposite/adjacent
Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.
- θ= 54
- opposite= x
- hypotenuse = 2.3
We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3
Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.
x is approximately <u>1.9</u>
Answer:
Observational study
Step-by-step explanation:
There are 3 types of statistical study:
1) Experimental: Under this, any experiment is done on a certain group of population.
2) Observational: Under this study, the events are observed regularly and the record is made.
3) Survey : Under this study, a survey is conducted with a a group of population and the record is made.
According to question, A meteorologist keeps hourly temperature records over the course of several years in order to look for long-term variations, this is an example of <u>observational study</u>.
Answer:
x = 11.25
Step-by-step explanation:
Two adjacent angles on a line are supplementary.
That means their measures add to 180°.
Add the measures of angle 1 and angle 2 and set the sum equal to 180.
Then solve for x.
m<1 + m<2 = 180°
x + 15x = 180
16x = 180
x = 11.25