The sum of the angles of a triangle is 180 degrees. The second angle is 40 degrees more than the first
angle and the third angle is 5 times the measure of the first angle. What is the measure of the largest
angle?
Answer:
100⁰
Step-by-step explanation:
Let,
First angle = x
Second angle = x + 40
Third angle = 5x
=> x + x + 40 + 5x = 180
=> 7x + 40 = 180
=> 7x = 180 - 40
=> 7x = 140
=> x = 140/7
=> x = 20
Largest angle = 5x = 5(20) = 100⁰
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
First angle = x Second angle = x + 40Third angle = 5x[tex]:\implies\bf{x + x + 40 + 5x = 180} \\ \\ :\implies\bf{7x + 40 = 180} \\ \\ :\implies\bf{7x = 180 - 40} \\ \\ :\implies\bf{7x = 140} \\ \\ :\implies\bf{x = \frac{140}{7} } \\ \\ :\implies\bf{x = 20}[/tex]
The largest angle above is 5x thus,
[tex]:\implies\bf{5x} \\ \\ :\implies\bf{5 \times 20} \\ \\ :\implies\bf{100^°}[/tex]
Stan's favorite cereal provides 20% of the Vitamin A and 30% of the Vitamin C he needs daily. How many servings of this cereal must he consume before he gets the recommended daily requirement of both vitamins?
Answer:
Step-by-step explanation:
100 %/ 20 % = 5 servings
100 %/ 30 % = 3⅓ servings
He must consume 5 servings to get 100% of Vitamin A
In those servings he will consume 150% of Vitamin C
Pls confirm if right. If not pls help. Thx!
Answer:
yes you are correct
Step-by-step explanation:
Given ω=[tex]\frac{3-2i}{5-6i}[/tex] , find ω in the a+bi form.
Answer:
Solution is given in the photo
The athlete drink 16 ounces of water every two hours starting at 7:30 AM and continuing for the next 14 hours. A) how many quarts did the athlete consume? B) how many pints of water did the athlete consume?
Answer:
16x7 = 112 (16 ounces, 7 hours) 112 ounces to pints = 7 pints of water
Step-by-step explanation:
Please answer
2x^2+7x+3=0
Answer:
x+-(1)/(2),-3
Step-by-step explanation:
Thank you:)
Work out the highest common factor (HCF) of 180 and 240
If I am correct, I believe that it is 60
A pair of shoes are on sale for 60% off. The shoes cost $110 before the sale. How much money will you save after the sale?
answer: 60 × 100 = 600
Step-by-step explanation:
Answer:
$66
Step-by-step explanation:
Money saved after sale= 60% of $110
= 60/100 ×$110
= $66
7.RP.A.1 (NC)
8. Grant paddled a canoe, 3/4 mile in 1/2 hour. How fast did Grant paddle in miles per
hour?
Answer:
1.5 miles / hour
Step-by-step explanation:
The question is most easily done by converting to decimals
3/4 = 0.75 miles
1/2 = 0.5 hours
Formula
r = d/t
Solution
r = 0.75 miles / 0.5 hours
r = 1.5 miles per hour
LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( use the scale factor to write the ordered pairs after the dilation )
plz help me to answer
Answer:
H=2 r=1
Step-by-step explanation:
P= 2h+4r + πr = π+8
h= π+8- πr -4r/2
(pls give brainliest if helps!)
How do I multiply minted numbers? Please explain step by step to get marked as brainliest
Answer:
Step-by-step explanation:
The mall is located 2.4 kilometers north of jays house. The caffe shop is located 0.7 kilometers east of the mall. What is the distance between jays hair and the coffe shop
The distance between Jays hair and the caffe shop is 2.5 km.
Since the mall is located 2.4 kilometers north of jays house and the caffe shop is located 0.7 kilometers east of the mall, both directions are perpendicular. So, the distance between Jays hair and the caffe shop forms the hypotenuse side of this right angled triangle.
So, using Pythagoras' theorem, we find the hypotenuse side of this triangle, L.
Pythagoras' theorem states that the sum of squares of the sides of a right angled triangle equal the square of the hypotenuse side.
So, L = √[(2.4 km)² + (0.7 km)²]
L = √[(5.76 km² + 0.49 km²]
L = √(6.25 km²)
L = 2.5 km
So, the distance between Jays hair and the caffe shop is 2.5 km.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/8171420
Marshall wants to buy a picture frame. The original price is $15,
How much will Marshall pay if he buys it during the sale?
SALE
25% off
original price
Functions
Acellus
Find the equation of this line.
[?]
-x+ []
y =
Simplify the fractional part.
Answer:
y = -2/5 x +1
Step-by-step explanation:
We know two points on the line (-5,3) and ( 5,-1)
We can find the slope using the slope formula
m = ( y2-y1)/ (x2-x1)
m = ( -1 -3)/( 5- -5)
= (-1-3)/ (-5+5)
-4/10
=-2/5
Using the slope intercept form of the the lint
y = mx+b where m is the slope and b is the y intercept
y = -2/5 x+b
Using one of the point and substitute in for x and y
3 = -2/5 (-5) +b
3 = 2 +b
1 = b
y = -2/5 x +1
The equation of the line passes through the points (0, 1) and (5, -1) will be;
[tex]y = - \dfrac{2}{5}x + 1[/tex]
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 1) and (5, -1).
Now,
Since, The equation of line passes through the points (0, 1) and (5, -1).
So, We need to find the slope of the line.
Hence, the Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 1) / (5 - 0)
m = - 2 / 5
Thus, The equation of the line with slope - 2/5 is,
[tex]y - 1 = - \dfrac{2}{5} (x - 0)[/tex]
[tex]y - 1 = - \dfrac{2}{5}x[/tex]
[tex]y = - \dfrac{2}{5}x + 1[/tex]
Therefore, The equation of a line is [tex]y = - \dfrac{2}{5}x + 1[/tex].
To learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ3
A water tank is filled at a constant rate. After 36 minutes, there are 648 gallons of water in the tank. How many gallons of water flowed into the tank each minute? Use the model.
Answer:
I'm not sure about this, sorry!
Step-by-step explanation:
[tex]648 \div 36 = 18[/tex]
18 gallons of water flowed into the tank each minute.
Answer: the answer is 18 gallons
Step-by-step explanation: all you have to do is divide 648 by 36 and you should recieve an answer of 18
what two numbers multiply to -36 and adds to 1?
The perimeter of a rectangle is 64m and it’s length is 3 times it’s width.what is the length of the rectangle?
so umm this is the answer
Perimeter = 2(length + width)
P = 2(L+w)
We are told the length is 3 times the width...
L = 3w
64 = 2(3w + w)
64 = 2(4w)
64 = 8w
8 = w
L = 3w = 3(8) = 24 cm
Length is 24 cm
width is 8 cm
Men to women working for a company ie 2 to 3 if there are 80 employees total how many men work for the company
Answer:
32
Step-by-step explanation:
10,260 words/minute = words/second
Answer:
171
Step-by-step explanation:
Alexa spins a spinner that is divided into 6 equally sections: 2 red, 1 green, and 3 blue. What is the probability that Alexa spins a red or green?
Answer:
probability = 1/2 or 50%
Step-by-step explanation:
number of red + number of green = 2 + 1 = 3
Probability of landing on a red or green = 3/6 = 1/2
Red
Step-by-step explanation:Red
Use long division to solve 38 divided by 4
If you know how to set up the format for long division, the answer is 9.5 because 4 goes into 3 zero times, and you don't necessarily need to write down the zero on top since it equals nothing in a whole number. then, 4 goes into 38 nine times. (yes 38 because you didn't do anything with the 3 so you just make it 38) 4 × 9 = 36. it doesn't exactly make 38, so you take away 36 from 38 and you are left with a remainder of 2. then to get no remainder, add a zero to the end of 38. so it would look something like 4/380 so you take down the zero next to the 2 so it makes 20, 4 × 5 = 20 and you are left with a remainder of 0 and the answer: 9.5 ( P.S.: added the decimal because it wasn't exactly equal when doing 4 × 9 so we had to add a zero)
In 2 + In 8 - In 4
In 4
In 6
In 74
Answer:
in8− in4+ in2
Step-by-step explanation:
thats the aswer
Please somebody help me with this
Answer: call 911
Step-by-step explanation: call 911
write the equation of the line which has the given slope "m" and which passes through the given point.........a.(2,10) and m=-4.............b.(4,-4) and m=3/2....c.(0,0) and m=3/5
Answer:
A\ B=-30
Step-by-step explanation:
Y=mx +b, Y=10,X=2 ,m=4
10=4*10+b
10=40+b
-40+10=b
b=-30
I GUESS...
Answer:
y=-4x+18
Step-by-step explanation:
y-y1=m(x-x1)
y-10=-4(x-2)
y=-4x+8+10
y=-4x+18
Fill in the blank with the correct factor, dividend, divisor or product to complete the number sentence correctly. ____ divided by 1.5 = (-6)
Answer:
the answer is negative nine
Dylan is knitting a scarf, and he wants the final product to be 4 inches wide and 63 inches long. Each skein of yarn will knit a rectangle that is 4 inches by 9 inches. How many skeins should Dylan buy?
Answer:
7
Step-by-step explanation:
63 / 9 = 7
Multiply and write in standard form:
(2x)(x^2 - 6x + 3)
Show all work for full credit.
2x(x2-6x+3)
4x^3-12x^2+6x
6(h - 6k+7) distributive property
Answer: 6h-36k+42
Step-by-step explanation:
6(h - 6k+7)
First, start by doing 6 times h
Then, 6 times -6k
Lastly, 6 times 7.
6h-36k+42 is your answer.
A savings account starts with $2,200. The total amount after 18 months was $2563. What is the annual interest
rate?
Answer:
11%
Step-by-step explanation: