In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and
m∠N is 180°.
Response:
The true statements are;
<h3>Which property of parallelogram are used to find the true statements?</h3>
The possible drawing of the parallelogram LMNO created with MS Visio is attached.
From the drawing, we have;
m∠M = 11·x
m∠N = 6·x - 7
The properties of a parallelogram are;
Opposite angles are equal.
Adjacent angles are supplementary
Which gives;
11·x + 6·x - 7 = 180°
17·x = (180 + 7)° = 187°
m∠M = 11 × 11° = 121° = m∠O
m∠N = 6 × 11° - 7 = 59° = m∠L
Therefore;
The statements that are true are;
Learn more about the properties of a parallelogram here:
brainly.com/question/7697302
We will solve this using a system of equations. The first part tells us that building a is 190 feet shorter than building b. Our first equation, then, is b=190+a. The second part tells us that the addition of the two buildings' heights is 1480. So our second equation is a + b = 1480. The first equation is already solved for b, so let's sub that value into the second equation for b: a+(190+a)=1480. 2a + 190 = 1480 and 2a = 1290. That means that building a is 645 feet tall. Building b is 190 feet taller, so b = 190 + 645, which is 835.
Answer:
y - 13 = (5/2)(x - 4)
Step-by-step explanation:
Here we know the slope and one point on the line. Use the point-slope formula:
y - k = m(x - h).
Substituting 13 for k, 4 for x and 2.5 for m, we get:
y - 13 = (5/2)(x - 4)
Question 1:Look at the first attached image.
We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.
Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.
Now, subtract that from 207 to get the height of the smaller building.
That's your answer.
Question 2:
The angle of elevation is congruent to the angle of depression because they are alternate interior angles.
Thus, you can choose the 1st and 4th choices as your answer.
Question 3:Look at the second attached image.
Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.
Distributive property
Subtract both sides by 1 and 2x
Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.
The third choice is your answer. Hope this helps! :)
Answer:
Stratified Random sampling
Step-by-step explanation:
When a random observations are selected from a number of individual groups in a particular population, the type of sampling technique is called Stratified Random sampling. Stratified Random sampling begins with the partitioning or splitting or a population into subgroups. A number of random selection are then made from each of the subgroups to form a collection of larger samples. This is different from the simple random sampling technique which makes random selection directly from a larger sample or population without prior partitioning of the population. The different grades of students represents the individual stratum from which random selections are made.
