Find the measure of each missing angle. Subject: Geometry
Unit 5: Relationships in Triangles
Homework 1: Triangle Midsegments
Answers
Answer:
Q10
∠1 = ∠5 = 180° - 144° = 36°∠2 = 56°∠3 = 180° - 56° = 124°∠4 = 144° - 56° = 88°∠5 = ∠1 = 36°Q11
∠1 = 35°∠2 = 180° - 35° = 145°∠3 = 90° - 35° = 55°∠4 = 180° - ∠5 = 180° - ∠3 = 180° - 55° = 125°∠5 = ∠3 = 55°Measure of angles for figure 1:
∠1=36∠2=56∠3=124∠4=88∠5=36Measure of angles for figure 2:
∠1=35∠2=145∠3=55∠4=125∠5=55The angle is formed by two rays at a common point of the two rays.
For given figure 1:
∠1+144=180 (Sum of angles on same side of transversal is 180°)
∠1=180-144
∠1=36
∠5+144=180(Sum of angles on a line is 180°)
∠5=180-144
∠5=36
Similarly, ∠3=180-56
∠3=124
∠4+36+56=180(Sum of all angles of a triangle is 180°)
∠4=180-36-56
∠4=88
∠2+36+88=180
∠2=56
Thus, measure of angles for figure 1 are ∠1=36, ∠2=56, ∠3=124, ∠4=88, ∠5=36.
For given, figure 2:
∠1=35(Alternate angle on same side of transversal are equal)
∠2=180-35
∠5=180-35-90(Sum of all angles of a triangle is 180°)
∠5=55
∠4+55=180(Sum of angles on a line is 180°)
∠4=180-55
∠4=125
Similarly, ∠2=180-35(Sum of angles on a line is 180°)
∠2=145
∠3=180-35-90(Sum of all angles of a triangle is 180°)
∠3=55
Thus, measure of angles for figure 2 are ∠1=35, ∠2=145, ∠3=55, ∠4=125, ∠5=55
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Related Questions
The length of a boat is 10.8 metres. Boris buys a scale model of the boat. The scale of the model is 1/18 Work out the length of the scale model of the boat. Give answer in centimetres
Answers
Answer: 60 cm
Step-by-step explanation:
The actual length of the boat is 10.8 meters.
The scale model length is 1/18 of the actual boat.
Length of scale model will therefore be:
= 10.8 * 1/18
= 0.6 meters
A meter is 100 centimeters.
= 0.6 * 100
= 60 cm
-4n = 16 plssssssssssssssssssss help
Answers
Answer:
n would be -4
Step-by-step explanation:
(two negatives multiplied together make a positive)
-4n = 16
/-4 /-4
n = -4
boole summation formula used in real life
Answers
Pls answer this ASAP thank you!
Answers
£2,300 is invested for 4 years at 5% per year simple interest work out the total interest
Answers
Answer:
£460
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 2300 × 0.05 × 4 = 460
I = £ 460.00
The simple interest accumulated
on a principal of £ 2,300.00
at a rate of 5% per year
for 4 years is £ 460.00.
A number equals four less than three times the number.
How do you write this equation
Answers
Answer:
n = 4 - 3
Step-by-step explanation:
20 pounds of beans are distributed equally into 16 bags to give out at the food bank how many pounds of beans are in each bag
Answers
9. Rob usa el cálculo mental para resolver 90 – 30.
Dice que 9 decenas menos 3 decenas son
6 decenas, o 60. ¿Esto es verdadero o falso?
Encierra tu respuesta en un círculo.
Verdadero
o
Falso
Answers
1 Which size Yogli Mogli which yogurt size gives you the best price per ounce?
Small 5 oz. cup for $2.50
Medium 10 oz cup for $3.49
Large 15 oz. cup for $5.99
Super Size 24 oz. cup for $6.59
a. Small
b. Medium
c. Large
d. Super Size
Plz respond quickly for the best answer
Answers
The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants?
Answers
$18/3=6
$6 per one pair of pants
6 times 11= 66
$66
Hope this helps! Have a great day :)
Simplify (use only positive exponents) : (3y^10)(2y^2)/8y^5
please explain how you did it so that I can understand what I'm doing <3
Answers
So;
(3y^10)(2y^2) is equal to (3)(2)(y^10+2).
6y^12/8y^5
When dividing exponents, you do the opposite and subtract the exponents. And you divide the whole number by half.
6y^12/8y^5 = 3y^7/4
-5t2 + 14t + 3 = 0
ANSWER PLSS!!!!!
Answers
Answer:
t=3
Step-by-step explanation:
how do you know how many solutions are possible for a system of equations
Answers
Answer:
Step-by-step explanation:
If the slopes are the same but the y-intercepts are different, the system has no solution.
If the slopes are different, the system has one solution.
If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
Answer:
Step-by-step explanation:
If you mean linear systems. If lines have a different slope there will be one solution. If they have the same slope (parallel) and a different y intercept there are zero solutions. If they have same slope and y intercept than they are the same line and have an infinite number of solutions.
A store sells paint sets. Each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.55. Emily spends
$16.02 on 3 paint sets at the sale price.
What was the price of I paint set before the sale? Enter the answer in the box.
Answers
Answer:
$6.89
Step-by-step explanation:
Answer:
6.89
Step-by-step explanation:
when Emily bought 3 paint sets on sale each was worth 5.34. at original price it was 6.89
Compared to last year, the population of Boom Town has increased 25%. The
population is now 6,600. What was the population last year?
Answers
Answer:
Step-by-step explanation:
1.25p=6600
p=6600/1.25
p=5280
Compare the numbers using >,<, or =
874,023______874,233
5,493,820______5,492,483
Answers
Answer:
<
>
Step-by-step explanation:
We have two sets of numbers and are asked to compare using the <, >, = symbols.
Remember :
< means less than
> means greater than
= means equal to
One thing I was told in 2nd grade when this subject came over for the first time, was to think of the symbol as a crocodile and that it wants to eat the bigger number, with the opening of it being the mouth of the crocodile. Therefore, out of 874,023 and 874,233. Which is the bigger number?
874,223.
<
Now for the second set,
>
greg wants to buy a video game.the game is 50% off and the original price is $40.00how much will greg have to pay for this video game
Answers
Answer:
its 4.00%
Step-by-step explanation:
The interval(s) for which the function shown below is increasing
Answers
Answer:
everywhere except between 2 and 5
(between -inf and 2 and between 5 and inf)
Step-by-step explanation:
pls brainlist
A function assigns the value of each element of one set to the other specific element of another set. The interval for which the given function is increasing is (-2,0).
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
The given function is increasing only when the slope of the function is positive and when the value of x is increased from -2 to 0. Therefore, it can be concluded that the interval for which the given function is increasing is (-2,0).
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Anthony spent $10.24 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.00 tip. How much did Anthony have left from his twenty dollar bill? A. $0.80 B. $7.76 C. $9.76 D. $12.24
Answers
Answer:
$7.96
Step-by-step explanation:
20 - 10.24 = 9.96 - 2 = $7.96
please help me find the value of x
Answers
Answer:
67°
Step-by-step explanation:
Corresponding angles are equal in parallel lines.
Here, ∠acb and ∠aed are corresponding angles for lines bc and de
hence ∠aed = ∠acb = 39
in triangle ade,
x + 74 + 39 = 180 (angle sum property of a triangle)
x = 67°
-3xy-x²y²+1 is evaluated when x=-1 and y=-1 , then what is the exact value ?
Answers
Answer:
-3
Step-by-step explanation:
-3(-1)(-1)-(-1)^2(-1)^2+1
=-3
hopes this helps?!?!
Answer -2
Step-by-step explanation:
-3(-1)(-1)-(-1)^2(-1)^2+1
-3-1+1+1
-4+2
=-2
1) Sam bought a soft drink for 4 dollars and 7 candy bars. He spent a total of 39 dollars. How much did each candy bar cost ?
Answers
39 - 4 = 35
35/7 = 5
Each candy bar cost $5. (Jeez, that’s expensive)
Hope it helped
2x+3y=5x-y2x+3y=5x−y
Answers
Can you help me on question 25?!
Answers
What is the sum of 4 1/2 + 5 1/2?
Answers
Answer:
10
Step-by-step explanation:
5 + 4 = 9 and 1/2 + 1/2 = 1 whole so 9 + 1 = 10
how do you complete this task?
Answers
Answer:
-3/2
Step-by-step explanation:
y=mx +b
where m is the slope and b is the y intercept
we just need to rewrite 3x+2y+18=0 to look like that
We need to get y by itself
3x+18= -2y
we need y to be positive and to have no number in front of it (no coeficcent)
y= -3/2x-9
the slope is therefore -3/2
Answer:
[tex]-\frac{3}{2} [/tex]
Step-by-step explanation:
3x + 2y + 18 = 0
Equating it with.
ax + by + c = 0, we find:
a = 3, b = 2, c = 18
Slope of the line [tex] =- \frac{a}{b} =-\frac{3}{2} [/tex]
how do you draw a linear graph equation for y=7
Answers
Answer:
wait pag iisipan ko that konting saglit
Answer:
line going left and right on the 7 in the y axis.
Which data collections show bias? Check all that apply.
D An English teacher polls the top-ten most avid readers to find their favorite books.
O An
insurance company polls drivers of sports cars to find their average number of tickets.
O A restaurant manager surveys every tenth customer for one week.
O An assistant principal surveys each student who is sent for discipline.
D A fundraiser organizer draws five names from a hat that contains all entries.
Answers
Answer:
An insurance company polls drivers of sports cars to find their average number of tickets.
Step-by-step explanation:
It’s bias because they’re only polling people with sports cars
An insure company polls drivers of sports cars
An assistant principal surveys each student
Convert the expression (√5)(∛5) to exponential form. Show your work.
Answers
Answer:
[tex] {5}^{ \frac{5}{6}}[/tex]
Step-by-step explanation:
[tex]( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}[/tex]
!! HELP, I NEED HELP QUICKLY OR THE ANSWER!!!
Math quiz: expressions and equations
Jeremiah has three more than twice as many pencils as Spencer. If s represents how many pencils Spencer has, which is an algebraic expression that represents the number of crayons that Jeremiah has?
A. 3s + 2
B. 2s + 3
C. 5s
D. 6s
Answers
the answer should be a