1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paladinen [302]
3 years ago
5



Mathematics
1 answer:
rewona [7]3 years ago
3 0
X = 5/3 and m∠SPY = 8 1/3°.

Since PQ bisects the angle, the two angles formed by the bisector are equal:

11/2x - 5 = 4x - 5/2

We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5

Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5

Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5

Divide both sides by 3:
3x/3 = 5/3
x = 5/3

Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:

11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2

We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
You might be interested in
Please answer number 15 I’ll give brainliest thanks!
kumpel [21]

Answer:

C

Step-by-step explanation:

i belive it is C because if you look at it your just multiplying by 4 hope this helps!!! :D

6 0
2 years ago
Find the area of a rectangle 4 3/4 feet long and 2 feet long
omeli [17]

Answer:

9.5 ft^2

Step-by-step explanation:

It’s just 4.75 * 2

7 0
3 years ago
How would the mean change if the number 52 replaced the number 12 in the set?
m_a_m_a [10]

Answer:

increase

Step-by-step explanation:

First, we need to find the mean of the given data set without any change.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264

264 ÷ 8 = <u>33</u>

Now that we have the mean, we can find the mean of the data set with the change of 52.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304

304 ÷ 8 = <u>38</u>

<u />

From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.

hope this helps!

6 0
2 years ago
Plz help me i need to pass I've been trying this lesson all day and I can't figure this out
Tasya [4]

Step-by-step explanation:

step 1: given= 6*0=0

step 2: Use the distributive property

step 3: Substitute

step 4: -

step 5: Subtract 60 from both sides

step 5: simplify

7 0
2 years ago
Read 2 more answers
How can you order a ladder
NikAS [45]
An adult can go online and search for the kind of ladder needed.  Then they can choose the store they prefer.  After that, they would decide what payment method to use.  Shipping information would be entered, or they would go pick it up.  
3 0
3 years ago
Read 2 more answers
Other questions:
  • Ally is making a scale diagram of her classroom. She uses a scale factor of 3 centimeters per foot to draw the diagram. The actu
    8·1 answer
  • Two lines intersect at the point (-3,4).which pair of equations could represent these lines ?
    12·1 answer
  • What is 3/8 as a decimal an show work
    8·1 answer
  • Please answer this. i really need help
    10·1 answer
  • Which operation should be used to solve this problem?
    7·1 answer
  • What goes on the first blank tick mark?
    11·1 answer
  • At Wendy’s, 3 Baconators and 2 Frosty’s cost $21.50. If 5 Baconator’s and 1 Frosty cost $30, find the cost of one Baconator and
    7·1 answer
  • Find the areas of the trapezoids.
    12·1 answer
  • Write an equation perpendicular to y=5/2x-3 and through (4,2).
    8·1 answer
  • Which one is it? I will give you twenty points, if you will answer
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!