Answers
The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Thus, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
Learn more about congruent triangles here:
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The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Hence, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
Learn more about congruent triangles here:
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Related Questions
Choose which expression doesn’t belong? State your reasoning.
Answers
Answer:
Step-by-step explanation:
This warm-up prompts students to carefully analyze and compare quadratic expressions. In making comparisons, students need to look for common structure and have a reason to use language precisely (MP7, MP6). The activity also enables the teacher to hear the terminology students know and how they talk about characteristics of the different forms of expressions.
As students discuss in groups, listen for rationales that are based on the structure of the expressions. Select those students or groups to share their thinking during class discussion.
Launch
Arrange students in groups of 2–4. Display the expressions for all to see. Give students 1 minute of quiet think time and then time to share their thinking with their small group. In their small groups, ask each student to share their reasoning about why a particular item does not belong, and together find at least one reason each item doesn't belong.
Student Facing
Which one doesn’t belong?
A.
B.
C.
ΔΔΔ⇔∈㏒㏒∞⇅⊃⊂↓∵↔→∨∧±×∛√ФπThe ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $20 each. If the football team needs to raise at least $3,000 for equipment, write an inequality to represent the situation and find the least number of "Jaguar Cards" the team must sell.
Answers
Answer:
The inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
Step-by-step explanation:
Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for [tex]\$20[/tex] each.
If the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.
Solution:
Let the ADMHS football team sold [tex]x[/tex] "Jaguar Cards" for [tex]\$20[/tex] each.
Now, the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
So, the inequality to represent the situation is [tex]20x\geq 3000[/tex].
Now, on solving we get,
[tex]20x\geq 3000[/tex]
[tex]\implies x\geq \frac{300}{20}[/tex]
[tex]\implies x\geq 15[/tex]
Hence, the inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
The inequality to represent the situation should be 20x≥30,000 and the number of jaguar cards should be 15.
Writing an inequality function:Since
Here we assume Jaguar cards be x for $20 each to raise at least $3,000 for equipment
20x≥30,000
x≥15
Based on this, the above represent the inequality function.
Find out more information about the equation here:
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SOMEONE PLEASE ANSWER ASAP!!!!
the formula d=rt relates distance d to rate r and time t. Find how long it takes an airplane to fly 375 miles at 500 miles per hour.
Answers
Answer: 0.75 hours which is the same as 45 minutes
===========================================================
Explanation:
d = distancer = rate, which is another term for speedt = timeWe're told that the plane flies 375 miles and the speed is 500 miles per hour (mph).
This must mean that d = 375 and r = 500. Let's find t
d = r*t
d/r = t .... divide both sides by r
t = d/r
t = 375/500
t = 0.75
It takes 0.75 hours, which is the same as 45 minutes because
0.75*60 = 45
If the plane flew 500 miles and its speed was 500 mph, then it would take 1 hour, so it makes sense that the plane's time was under an hour if it only traveled 375 miles.
The table shows the colors of marbles in a bag.
hat is the ratio of green marbles to the sum of red and yellow marbles in the bag?
Answers
Answer:
12:18
Step-by-step explanation:
Answer:
2:3
Step-by-step explanation:
green marbles: 12
red+yellow: 18
12:18
(divide by 6 on both sides)
2:3
Jack used 40 balloons to decorate a room for a party. Of the balloons he used, 15% were red balloons.
How many red balloons did Jack use?
Answers
Help me and cute animes girls will be in ur bedroom tonight
Answers
Answer:
The answer is 60 degrees
Step-by-step explanation:
x+20 = 80 (alternate angle)
x=60
What percent of classes have at least 21 students first block brainly
Answers
The area of the rectangle is 5 times the triangle
Answers
Don't know what you mean
Find c.
Round to the nearest tenth:
2 cm
15°
105
Answers
Answer:
0.5cm
Step-by-step explanation:
Using the sine rule
Answer:
c = 0.5 cm
Step-by-step explanation:
Using the Sine rule in the triangle, then
[tex]\frac{c}{sin15}[/tex] = [tex]\frac{2}{sin105}[/tex] ( cross- multiply )
c × sin105° = 2 × sin15° ( divide both sides by sin105°
c = [tex]\frac{2sin15}{sin105}[/tex] ≈ 0.5 cm ( to the nearest tenth )
Lorelei knows that the mass of one dime is about 2.3 grams. She needs to find the mass of 4 dimes. Which equation shows how to use the Distributive Property to solve?
Answers
Answer:
Step-by-step explanation:
(4 × 2) + (4 × 0.3) = 9.2 grams
It costs $60 to buy 10 hamburgers. At this rate, how much would it cost to buy 12 hamburgers? (Use proportions to help you).
i need this answer asap!!
Answers
Answer:
72
Step-by-step explanation:
I divided.$60 by 10 and got $6 per every burger, then I multiplied $6 x 12 and got $72.
what is the rate of change ?
y=-5x-3
Answers
Answer:
the rate of change is -5.
Step-by-step explanation:
y = -5x - 3
-5 = rate of change
-3 = x intercept
The rate of change is -5
Step by step explanation
Y=5x-3
-5=rate of change
-3=x intercept
A circle has a diameter of 48 feet. Which of the following expressions shows how to find the radius of the circle?
Answers
Answer:
r = d/2
Step-by-step explanation:
The radius is always the diameter divided by 2. Hope this helps :)
Answer:
48/2 or d/2
Step-by-step explanation:
radius is half the diameter because its starts from the center. so if the diameters 48 feet, you have to divide it by 2 and get 24 feet.
Whoever gets this correct gets marked brainlest
Answers
Answer:
60 i think
Step-by-step explanation:
I REALLY NEED HELP!!!! Determine how far the intersection of Oak Street and New Street will be from the intersection of Main Street and New Street.
Answers
Answer:
2 = 3.5 0.=3.2
Step-by-step explanation:
hope it helps
Simplify the expression:
4b - 24 + 19
4p - 5p - 30p
4.2v - 5 - 6.5v
Answers
4b - 24 + 19 ——> 4b - 5
The second expression only has variables so we simplify the whole expression
4p - 5p - 30p = -31p
The third expression we will only simplify the variables
4.2v - 5 - 6.5v ——> -2.3v - 5
The Video Rental Club charges a $5 monthly fee and $2.00 charge for each
video rental. The total cost for monthly video rentals depends on how many
movies a member rents. The table below represents the total cost of video
rentals per month.
videos (V)
0
1
2
3
4
monthly cost (c)
$5
$7
$9
$11
$13
Which equation represents the relationship between the cost, c, and the
number of videos, V?
C. c = 2V + 5
D. c = 5v + 2
A. c = 2v
B. C = 5v + 5
Answers
Answer:
C=2v+5
Step-by-step explanation:
C=2v+5
I got this because its 2 dollars PER video plus 5 a month
At a gas station, all chips are marked down 10%. A customer brings a bag of chips with a regular price of $2.19 to the register. After the 7% sales tax on the final price, how much does the customer pay for the bag of chips ?
Answers
Answer: $2.11
Step-by-step explanation:
A customer brings a bag of chips with a regular price of $2.19 to the register which is marked down 10% the price to pay will be:
= $2.19 - (10% × $2.19)
= $2.19 - $0.219
= $1.971
After a 7% sales tax on the final price, the amount paid by the customer will be:
= $1.971 + (7% × $1.971)
= $1.971 + $0.13797
= $2.11
Mr. Ellis owns a landscaping company. He sends two crews to mow grass. Crew A mows 6 acres in 7.5 hours. Crew B mows 4.5 acres in 6 hours. Which crew is faster?
Answers
Hey there!
The answer to your question is Crew A
We can find this by first finding the unit rate, or acres per hour. We can divide the amount of acres by the amount of hours.
Crew A : 6/7.5 = 0.8 acres per hour
Crew B : 4.5/6 = 0.75 acres per hour
With the data above, we can see that Crew A is faster.
Hope it helps and have an amazing day! Remember, You've got this!
Answer:
A crew
Step-by-step explanation: i did it
Find the slope of each line.
6)
Answers
Answer:
(4,7)
Step-by-step explanation:
Teri is studying the growth of the population of frogs in a lake. The table below shows the number of frogs with respect to the number of months since Teri began her study. Months 1 2 3 4 5 Number of Frogs 50 150 450 1,350 4,050 The independent variable in the relationship is the and should be placed on the . The dependent variable in the relationship is the and should be placed on the .
Answers
Answer:
1. independent: months , x axis
2. dependent: frogs , y axis
Step-by-step explanation:
plato
Seth is saving to buy a new car. He deposits $8,000 into a savings account that is compounded monthly at a rate of 6%. How much will Seth have in 10 years?
A- $8480.00
B- $8409.12
C- $14,326.78
D- $14,555.17
Answers
Answer:
b
Step-by-step explanation:
What is the equivalent of 6x - 12 ?
Answers
Answer:
6(x−2)
Step-by-step explanation:
Factor 6x−12
6x−12
=6(x−2)
Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because . Does Noah's method always work? Explain why or why not.
Answers
Answer:
Yes Noah's method will always work
Step-by-step explanation:
Noah's method states that:
To find 20% of a number he divides the number by 5. For example, 20% of 60 is 12.
Noah's method will always work because:
20% = 20/100
Simplifying 20/100 to the least fraction = 20/100 = 1/5
20% of x = 1/5 × x
= x/5 = x ÷ 5
Applying this to the examples
20% of 60 = 1/5 × 60
= 60/5 = 12.
Therefore, Noah's method will always work.
Is AABC= ADEF? If so, name the postulate that applies.
Answers
Answer:
B. congruent - SAS
Step-by-step explanation:
IT IS CONGRUENT BY SAS AXIOM.
HOPE IT HELPS :)
You and a friend go to the store and purchase 3 candy bars that cost $0.85 each and 2
sodas that cost $1.89 each. You are going to split the cost. You have $5. How much change
will you receive?
Answers
Divide 6.33 by 2 equals $3.165
5 minus 3.165 = $1.835
Which $1.835 is your change you receive
While you were at school you hear two students talking about an online business that pays a
piecework rate of $0.02 for stuffing envelopes. One of them says that he was able to stuff 4,382
envelopes during the week. How much was the student's gross pay rounded to the nearest
cent? Do not include a dollar sign in your answer. I got 8.764, is this answer correct ?
Answers
Which expression is equivalent to the expression below?
4s + 2t +s+s+s
Answers
Answer:
7s + 2t
Step-by-step explanation:
4s + 2t + s + s + s
7s + 2t
-0.5x+x plz answer quick
Answers
I need help on this
Answers
Answer:
C.
Step-by-step explanation: