Answer:
The measures of the three interior angles of the triangle are {40,55,85}.
Step-by-step explanation:
Let a = the measure of the first angle of the triangle.
Let b = the measure of the second angle of the triangle.
Let c = the measure of the third angle of the triangle.
The problem statement tells us that
(1) a = a
(2) b = a + 15 and
(3) c = a + 45
Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get
(4) a + b + c = 180 or by substitution we get
(5) a + (a + 15) + (a + 45) = 180 or
(6) a + a + 15 + a + 45 = 180 or
(7) 3*a + 60 = 180 or
(8) 3*a = 180 - 60 or
(9) 3*a = 120
Now divide both sides of (9) by 3 to get
(10) 3*a/3 = 120/3 or
(11) a = 40
Using (2) and (3) we get
(12) b = 40 + 15 or
(13) b = 55 and
(14) c = 40 + 45 or
(15) c = 55
Always check the answer. Use (4)
Is (40 + 55 + 85 = 180)?
Is (95 + 85 = 180)?
Is (180 = 180)? Yes
The measures of the three interior angles would be as follows:
40°,55°,85°
If we assume the first angle(∠1) to be [tex]x[/tex],
so, the second angle(∠2) [tex]= x + 15[/tex]
while the third angle(∠3) [tex]= x + 45[/tex]
Through the Angle Sum Property, we know:
∠1 + ∠2 + ∠3 = 180°
By applying the above expressions, we get
[tex]x + (x + 15) + (x + 45) = 180[/tex]°
⇒ [tex]3x + 60 = 180[/tex]
⇒ [tex]3x = 180 - 60[/tex]
⇒ [tex]x = 120/3[/tex]
∵ [tex]x = 40[/tex]°
Therefore,
∠1 = 40°
∠2 = 40° + 15°
= 55°
∠3 = 40° + 45°
= 85°
Thus, the measures of the angles are 40°,55°, and 85°
Learn more about "Angles" here:
brainly.com/question/11990585
8 m (cubic meters) = dm3 (cubic decimeters)
Answer: 8000 dm³
Step-by-step explanation:
1 m³= 1000 dm³
----------------------------------------------------
Given
8 m³= dm³
Solve
8 m³ × 1000 dm³/m³=8000 dm³
Hope this helps!! :)
Please let me know if you have any questions
help!
Question 1 (1 point)
Sally sold this watch during her shift at the mall for $219. She earns 3% commission. How much did she make on the sale?
Commission: $
Answer:
6.57
Step-by-step explanation:
PLEASE HELP!! I need it asap tysm
Answer:
D
Step-by-step explanation:
Answer:
the answer is D your welcome lol
Step-by-step explanation:
lol
help will MARK BRAINLIST
Answer:
-21
Step-by-step explanation:
put in -3 where x is
-3^2 9
-9-12 = -21
Answer:
-21
Step-by-step explanation:
We know that [tex]f(x)=-x^2-12[/tex] and we also know that [tex]f(x)=f(-3)[/tex]. Therefore, you will have to substitute x with -3.
Calculations:
[tex]f(x)=-x^2-12[/tex]
[tex]f(-3)=-(-3)^2-12[/tex]
[tex]-9-12=-21[/tex]
A container is in the shape of a cuboid the cuboid is 2/3 full of water a cup holds 275 ml of water what is the greatest number of cups
Answer:
12 cups
Step-by-step explanation:
The first step is to calculate the volume of the cubiod
= 36 × 6 × 23
= 4968
= 4968/3 ×2
= 1656×2
= 3312
Therefore the greatest number of cups can be calculated as follows
= 3312/275
= 12
Hence the greatest number of cups is 12 cups
Brian and Mark are fishing. They both catch a fish. Brian's fish weighs 17
pounds less than Mark's fish. Mark's fish weighs 22 pounds
PLEASE HURRY.
Answer: 5 pounds
Step-by-step explanation:
We need to find how much Brian's fish weighs. We know that Mark's fish weighs 22 pounds, and Brian's fish weighs 17 pounds less than Mark's fish. To find how much Brian's fish weighs, we can subtract 17 from 22.
22 - 17 = 5.
Therefore, Brian's fish weighs 5 pounds.
Hope this helps, and good luck :D
Answer:
5 pounds
Step-by-step explanation:
22-17 =5
15 1/3 - 5 7/9 = 10 1/3 - 7/9
Answer:
true
Step-by-step explanation:
Savings Accounts
Alyssa starts with $30 and saves $5 each week. Bill has $16 and saves $7 each
week. At what week will Alyssa and Bill have the same amount of money?
Answer:
7 weeks
Step-by-step explanation:
Given data
Alyssa starts with $30 and saves $5 each week
let the number of weeks be x
y= 30+5x----------1
Bill has $16 and saves $7 each
week.
y= 16+7x----------------2
equate 1 and 2
30+5x= 16+7x
30-16= 7x-5x
14= 2x
x= 14/2
x= 7 weeks
The ratio of dogs to people at the park is 3 to 4. There are 336 total
dogs and people at the park.
How many people are at the park?
Answer:
you got this u are really smart
Step-by-step explanation:
Ed has 30 sweets. The ratio of red sweets to yellow sweets is 2:3 How
many red sweets does Ed have?
Answer:
The ratio of red sweets to yellow sweets is 12.
Step-by-step explanation:
let the number of red sweet = 2x
number of yellow sweet = 3x
according to question:
red sweets + yellow sweets = total sweet
2x +3x = 30
5x = 30
x = 30/5 = 6
red sweet = 2x = 2× 6 = 12
yellow sweet = 3x = 3× 6 = 18
plz mark my answer as brainlist plzzzz if you find it useful.
hope this will be helpful to you.
On 9th May, 2009, there were 3440 people in the world with swine flu. Of these people, 1639 were in the USA. The 3440 people who had swine flu on 9th May was an increase of 37.6% on the number of people who had swine flu on 8th May. Calculate the number of people who had swine flu on 8th May.
Answer:
2500
Step-by-step explanation:
let a represent the number of people that had swine flu on the 8th of May
a increased by 37.6% on the 9th of May. The 37.6% increase is equal to 3440
the equation that can be used to represent this is:
a x 1.376 = 3440
to find a, divide both sides by 1.376
a = 2500
PLZ HELP ITS DUE AT MIDNIGHT
Answer:
1. 10.5% increase (yellow)
2. 35% decrease (blue)
3. 40% increase (pink)
4. 50% increase (white)
5. 26% decrease (blue)
Step-by-step explanation:
Answer:
1. 10.5% increase (yellow)
2. 35% decrease (blue)
3. 40% increase (pink)
4. 50% increase (white)
5. 26% decrease (blue)
How is this due at midnight
Which of the following equations have no solutions?
Choose all answers that apply:
A
152 - 45 = 750 + 75
B.
15% - 45 = 15x + 75
c
45x – 45 = -15% + 75
D
-450 – 45 = -75x + 75
Answer: B
Step-by-step explanation:
Equation A:
15x - 45 = 75x + 75
=> -120 = 60x
=> x = -2
Equation B:
15x - 45 = 15x + 75
=> 0 = 15
No Solutions
Equation C:
45x - 45 = -15x + 75
=> 60x = 120
=> x = 2
Equation D:
-45x - 45 = -75x + 75
=> 30x = 120
=> x = 4
factorise 3x^2+5x-12
Answer:
3x^2+9x-4x-12(3x^2+9x)-(4x+12)3x(x+3)-4(x+3)(x+3)(3x-4) please mark me brainlistBurger patties come packed 6 in a package, and burger buns come packed 8 in a package. We want to buy the least number of patties and buns possible, while still making sure that we have exactly one patty for each bun (no leftovers). How many packages of burger patties do we need to buy?
Answer:
6 packs of buns 8 packs of patties
Step-by-step explanation:
6 x 8 = 48
8 x 6 = 48
I hate math so much Help
Answer:
73/100 is the fraction
0.73 is the decimal
Step-by-step explanation:
What is 10 times something equal 24
Answer:
2.4
Step-by-step explanation:
An easy way to find this is via division.
24 ÷ 10 = 2.4 | therefore,
2.4 × 10 = 24
Answer:
2.4
Step-by-step explanation:
"something" = x
10x = 24
divide both sides by 10
10x/10 = 24/10
x = 2.4
What is the slope of y = -4?
Answer:
0
Step-by-step explanation:
The line is horizontal.
Explanation:
Think of y = -4 as y = 0x+(-4)
We see that the equation matches the form y = mx+b
m = 0 = slope
b = -4 = y intercept
Side note: this equation graphs out a horizontal line. All horizontal lines have a slope of 0.
which expression is equivalent to z+(z+6)?
Answer:
2(z+3)
Step-by-step explanation:
2. A plastic smartphone case is roughly rectangular and measures 6 in. by 3 in. The back side of
the case has two sections cut out: a l in. by 0.5 in. rectangle for the camera and a triangle that
is 1.5 in. wide and 1.5 in. tall so that the brand logo on the phone is visible when it is in the
case. What is the approximate area of the plastic on the phone?
15.25 in.2
0 16.375 in.2
019.625 in 2
20.75 in 2
Answer:
ITs 16.375 in.2
Step-by-step explanation:
If your in connections and you have Lesson 4: Area of Other Figures
Math 7 B Unit 3: Measurement the whole quick check answers are
1. D. 40.5cm2
2. B. 16.375 in.2
3. B 540cm2
4. C 460
Your welcome also I swear these are right!
what is the qoutent for 0.04/4.56
Answer: 0.877192982456
Step-by-step explanation:
What is the probability that the spinner will land on either yellow (y) or green (g)?
A: 1/4.
B: 1/3.
C: 1/2.
D: 2/3.
Answer:
I believe it's 1/3
I haven't done these in a while, but basically since there is 6 places and it's asking the probability of it landing on 2 out of the 6, so the answer would be 2/6. Since the answer isn't there, just simpify. 2/6 simplified is 1/3. I'm so sorry if wrong, I haven't done this in a while!
Jackie earns 14% commission as a salesperson. She sold a sofa that costs $870. How much commission did Jackie earn?
Answer:
HE IS PORE THAT IS WHAT HE IS
Step-by-step explanation:
HE IS PORE THAT IS WHAT HE IS
Luis is hiking at a park. He sees the sign shown and decides to hike there.
Wandering Twin Lake
4.9 mi
Luis knows that he can hike at an average rate of mile in 6 minutes.
Part A
How many hours will it take Luis to reach Wandering Twin Lake?
Enter the correct answer in the box.
Answer: 0.49 hours
Step-by-step explanation:
Luke takes 6 minutes to hike an average of 1 mile.
He decides to camp ay a point that is 4.9 miles away.
The amount of time it will take him to get to the place is:
= 4.9 * 6
= 29.4 minutes
In hours this is:
= 29.4 / 60 minutes
= 0.49 hours
Answer:0.49 hours
Step-by-step explanation:
= 4.9 * 6
= 29.4 minutes
In hours this is:
= 29.4 / 60 minutes
= 0.49 hours
need help please will give brainliest
Answer:
y=1/5x+7
Step-by-step explanation:
PLEASE HELP ASAP ILL GIVE U A LOT OF POINTS AND BRAINLIEST
Answer: a=1.5+1
Step-by-step explanation:
b jvgfcd vbkbhyg
Answer:
15x
Step-by-step explanation:
solve :
4² ( 4³ )
with work shown
Answer:
1024
Step-by-step explanation:
4²(4³)
4×4(4×4×4)
16(16×4)
16(64)
16×64
=1024
Put in ascending order 0.32, -1.9, square root, 2 pi, 2/3
Answer:
Chicken
Step-by-step explanation:
When the chicken gets rolled in the batter. it gets fried after.
16. Hanna has a bag of 23 marbles. 5 marbles are red, 6 marbles are blue, and the rest
are pink. Abby takes out two pink marbles without replacing them. What is the
probability that the next marble he draws will be blue?
A. 10/21
B. 4/21
C. 2/7
D. 6/23
Answer:
C. 2/7
Step-by-step explanation:
When two pink marbles are taken without replacement then the total number of marbles in the bag are reduced to 21 marbles. So the blue marble, which are currently in total 6 marbles, is taken out of the total of 21 marbles. The calculation of which is done as below:
Probability of Next Marble to be blue
= Blue Marble / Total Marbles in the bag
= 6 / 21
= 2 / 7
Hence, the correct option is C. 2/7
Jose spent $19 on a hair cut and left a $20 tip. What was the amount he left for the tip?
Answer:
$39
Step-by-step explanation:
19+20=39
because the $20 is additional while $19 is the original, therefore you add the two digits together to get $39
Answer:
$380.00
Step-by-step explanation:
20% of $19.00
19.00 x 20
= $380.00