Pls help :Find the missing side or angle. Round to the nearest tenth.
2 answers:
Answer:
79.0°
Step-by-step explanation:
The Law of Cosines is used for this purpose. It tells you ...
a² = b² +c² -2bc·cos(A)
Solving for A gives ...
cos(A) = (b² +c² -a²)/(2bc) = (15² +29²-30²)/(2(15)(29)) = 166/870
Using the inverse cosine function, we find the angle to be ...
A = arccos(166/870) ≈ 79.00026°
A ≈ 79.0°
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The true statements about the diagram given are:
3. m∠JKL = 45°
4. m∠MKQ + m∠PKQ = m∠PKM
5. PK is an angle bisector
<h3>What is an Angle Bisector?</h3>An angle bisector is a segment that divides a given angle into two parts that are congruent to each other.
The missing part of the question is in the image attached below.
In the image given, PK bisects the straight angle JKM since angles JKP and MKP both equal 90 degrees (right angle).
Therefore, m∠JKL = m∠PKL = 45°
m∠MKQ + m∠PKQ = m∠PKM based on the angle addition theorem.
Therefore, the true statements are:
3. m∠JKL = 45°
4. m∠MKQ + m∠PKQ = m∠PKM
5. PK is an angle bisector
(see image attached below)
Learn more about angle bisector on:
#SPJ1
<h3>Answer:</h3>
In this question, we're trying to find how much Hermione spent on plums.
We know that:
- Hermione bought 9/10 of a pound of plums
- Plums cost $1.30 <em>per pound</em>
With the information above, we can solve the question.
Since we know that plums cost $1.30 per pound and Hermione bought 9/10 of a pound, we would multiply 1.30 by 0.90 in order to get the price Hermione bought the plums for. Hermione is pretty much paying 90% of the cost of a pound.
When you multiply, you should get 1.17
This means that Hermione spent $1.17 on 9/10 pound of plums.
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>