Angle 3 = 60°
Angle 4 = 60°
Step-by-step explanation:
To find angle 3 we have to use the straight angle that is formed with angle C. Angle C is the same value as angle 2 (120°) so all we have to do now is make an equation by subtracting angle C (120°) from 180°. 180°-120°=60°. So 60° is the value of angle 3.
Angle 4 is also 60° because it is the same angle as angle 3. So the value of angle 4 is 60°.
Another way to solve this problem (shown in the picture) is using the value of angle 1 (60°) and when you have the value 60° and there are triangles formed within the angle (highlighted in the picture) you know that all the angles within the triangle are going to be 60° because all angles within a triangle add up to 180°. So if we were to use this rule the equation would look like 60°+60°+60°=180°. Angle 3 in the green triangle would be equal to 60° because of the fact that one angle was already confirmed as being 60° so because of that all the angles in the triangle have to add up to 180° so the all the angles must be 60°. Angle 4 in the red triangle would also be equal to 60° for the same reason mentioned above.
So therefore the answer to this question is Angle 3 = 60° and Angle 4 = 60°
Hope this helps! If you have any more questions or you need further clarification please comment down below or message me! Good luck!
Answer:
48.6
Step-by-step explanation:
(1÷5)×243=48.6
11 sheets of paper
If u divide 22 by 2 u get 11
Answer:
x = 60°, y = 78°, z = 29°.
Step-by-step explanation:
(x). Alternate exterior angles are congruent, so ∠OSP ≅∠HJP, and ∠OSP measures x°. Of the given information, we know ∠HJP = 60°.
(y). Vertical angles are congruent, so: ∠OPS ≅∠JPH, and in the diagram ∠OPS measures y°. To find ∠JPH, subtract the other angle measures in this triangle within the quadrilateral. This is represented by: 180 - (60+42) = 78°.
- Since ∠y ≅∠JPH, both angles measure 78°.
- (This can also be found by knowing 102 + y = 180 degrees, which simplifies to y = 78° since they are supplementary angles).
(z). Similar to the first variable's solution, z is the measure of ∠SHP, which is congruent to ∠JOP. Of the given information, we know ∠JOP = 29°. z° is the measure of its alternate, so it is congruent.
Answer:
2
Step-by-step explanation:
We have
n = 4 scores
SS = 48
For this question, we are required to find the estimated standard error
To get this, we first solve for the variance
S² = SS/n-1
= 48/4-1
= 48/3
= 16
Then S² = 16
S = √16
S = 4
Then the estimated standard error is given by:
S/√n
= 4/√4
= 4/2
= 2.
The estimated standard error is 2.