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
Find the area of the isosceles triangle.
kogti [31]

Answer:

The hight length : h

The base length : a

Apply the Pythagorean theorem in the right triangle :

h² = 13² - (10/2) = 144

h  = √144 = 12 cm

S = (a x h)/ 2 = ( 10 x 12 )/2 = 60 cm²

Step-by-step explanation:

5 0
2 years ago
AWARDING EXTRA POINTSWhat is the distance between point A (-3, -2) and Point B (4, -7)?
kenny6666 [7]

Answer:

Hi there!

Your answer is:

<em>8</em><em>.</em><em>6</em><em> </em><em>units</em>

Step-by-step explanation:

The distance formula is

√ ( (x2-x1)^2 + (y2-y1)^2 )

In your points:

A (-3, -2)

-3 is x1

-2 is y1

B (4, -7)

4 is x2

-7 is y2

Plug in to distance formula

√ ( 4-( -3))^2 + ( -7 - (-2))^2

√ (4+3)^2 + (-7+2)^2

√ (7^2) + ( -5)^2

√ 49 + 25

√ 74

This equals roughly 8.6 units!

4 0
3 years ago
Please help me answer it
Neko [114]
So for number 3, so for every 15 he earns, he saves 6 so
15:6=5:2

then he earns 75 and saves x
5 times what=75
5 times 15=75

2 times 15=30
so the ration is 75:30
he saved $30


then

write a real life proportion
so rob has a pattern to make,
for every 5 blue tiles, he puts down, he must put down 7 green tiles,
he needs to fill a sqare area that is 12 feet in legnth and width
each tile is 1 foot
how many blue tiles will he need
so 5+7=12
area=12 times 12
area=144
so the number of tiles is 144
so blue=5/12
so 144 times 5/12=60 blue tiles
3 0
3 years ago
What is 1/4 + 12/20 written as an equivalent fraction ?
Thepotemich [5.8K]
\frac{1}{4}+\frac{12}{20}=\ \ \ \ | make\ common\ denominator\\\\&#10;\frac{5}{20}+\frac{12}{20}=\frac{17}{20}\\\\ Solution\ is\ \frac{17}{20}.
4 0
3 years ago
Show a number line 2/3 3/3
matrenka [14]
2|------|------|------|3/3 or 1 whole
1/3. 2/3
6 0
3 years ago
Other questions:
  • Delia runs 8 mi every day at her health club she earns a free month membership after shes run 1,000 mi how many days does she ha
    8·2 answers
  • The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of equations that
    7·2 answers
  • Find the solution set. |x|= 9<br> A. { }<br> B. {-3 , 3}<br> C. { -9, 9}<br> D. {-81, 81}
    13·2 answers
  • Find the radius of a circle whose area is 78.6 cm squared
    12·2 answers
  • 30minutes divided by 5hours
    13·1 answer
  • X+2/4 = 3/8 solve for x
    9·1 answer
  • What percent of 40 = 32, I know....I should know this!
    13·2 answers
  • Between 1910 and 1930, what was the approximate increase in us homes with electricity
    7·2 answers
  • What is the study of geometry
    10·1 answer
  • Try and answer this one!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!