Given:
The ratio of the measures of the angles of a triangle is 1:2:3.
To find:
The measures of each angle.
Solution:
Let the measure of angles be x, 2x and 3x respectively.
We know that, sum of all the interior angles of a triangle is 180 degrees by the angle sum property.
Using angle sum property, we get
[tex]x+2x+3x=180^\circ[/tex]
[tex]6x=180^\circ[/tex]
Divide both sides by 6.
[tex]x=\dfrac{180^\circ}{6}[/tex]
[tex]x=30^\circ[/tex]
Now,
First angle: [tex]30^\circ[/tex]
Second angle: [tex]2(30^\circ)=60^\circ[/tex]
Third angle: [tex]3(30^\circ)=90^\circ[/tex]
Therefore, the measure of all the angles are 30°, 60° and 90° respectively.
A florist has ordered 632 roses for Valentine's Day. If the roses are divided into 50 bouquets, how many roses will each bouquet
have, and how many roses will be left over?
Answer:
I believe each bouquet of roses will have 12 roses, and 32 roses will be left.
if f(x)= 3x + 4, then what is f(-2)
Answer:
f ( - 2 ) = - 2
Step-by-step explanation:
Step 1:
f ( x ) = 3x + 4 Equation
Step 2:
f ( - 2 ) = 3 ( - 2 ) + 4 Input x value
Step 3:
f ( - 2 ) = - 6 + 4 Combine Like Terms
Answer:
f ( - 2 ) = - 2 Combine Like Terms
Hope This Helps :)
Can anyone solve this? If so tell me and make sure u know what ur doing please
Answer:
-2
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 2) and (-1, -2).
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-2}{-1-(-3)}[/tex]
= [tex]\frac{-2-2}{-1+3}[/tex]
= [tex]\frac{-4}{2}[/tex]
= -2
What kind of relationship does the equation below represent? direct or inverse
y=2/5x
Answer:
Direct
Step-by-step explanation:
Use the Distributive Property to write without parentheses:
4\left(3-2m\right)4(3−2m)
Answer: 12 - 8m If there is supposed to be a sign between the rwo expressions, that will change.
If its multiplication it would be 144 - 192m + 4m²
Step-by-step explanation:
(Please help)..........................
Answer:
the first one is correct
HELP! WILL GIVE BRANLIEST!
(Question 12)
Answer:
the first one I believe to be answer D, hope this helps
What is the original price of the box of cereal?
Answer:
$3.20
Step-by-step explanation:
x divided by 39 = 1204 R38
Answer:
x=46994
Step-by-step explanation:
Just do 1204 38/39 * 39 to get x=46994
Answer both questions pls for more points :)
Answer...
1st is A
2nd is C
how do you rate this app on a computer ?
Step-by-step explanation:
by going down your screen after you ask a question and the answer is there i guess i dunno
Pleas help me fast!
Answer:
35
Step-by-step explanation:
17-7+5^2 Divide 28 by 4
17-7+25 5 to the power 2 is 25
10+25 add 25 and 10 and you get 35.
35
Answer:
35
Step-by-step explanation:
PLEASE HELLPPP MEEEE WITHH MATHHH
Answer:
-1/2y+1/2x
Step-by-step explanation:
Convert fraction to a decimal
15/20
[tex] \frac{15}{20} [/tex]
[tex] \frac{3}{4} [/tex]
[tex]0.75[/tex]
Answer:
0.75
Merry Christmas!!
There are 7 socks in a bag. 2 of those socks are blue.
What is the probability of picking a blue sock randomly from the bag
Answer:
2/7 or about 28% depending on what type of answer your teacher is looking for
PLS HELP WILL GIVE BRAINLIEST
How can parents that dont have a O blood type still have a O blood type baby???
Answer: While a child could have the same blood type as one of his/her parents, it doesn’t always happen that way.
Step-by-step explanation:
For example, parents with AB and O blood types can either have children with blood type A or blood type B. These two types are definitely different than parents’ blood types!
Identify the dependent variable in this situation:
the amount of data you use determines how much money your monthly cell phone bill is.
Find the zeros for each function
1. f(x)= x^3 + 12x^2 + 21x + 10
2. f(x) = x^4 + x^3 - 11x^2 - 9x + 18
9514 1404 393
Answer:
zeros are -10, and -1 (multiplicity 2)zeros are {-3, -2, 1, 3}Step-by-step explanation:
For higher-degree polynomials I find it extremely useful to use a graphing calculator to find the zeros.
The usual approaches are ...
use the rational root theoremtry values of x=±1narrow the search using Descartes' rule of signsestimate maximum or minimum root values__
1. Rational roots will be factors of 10, so ±1, ±2, ±5, or ±10. The signs are all positive, so there are no positive real roots. The sum of odd-degree coefficients is the same as the sum of even-degree coefficients, so -1 is one of the roots. Removing that using synthetic division gives you ...
f(x) = (x +1)(x^2 +11 +10)
The quadratic (more or less obviously) factors as (x+1)(x+10), so the complete factorization is ...
f(x) = (x +1)^2(x +10)
and the zeros are {-10, -1, -1}.
__
2. Rational roots will be factors of 18, so will be ±1, ±2, ±3, ±6, ±9, ±18. The sum of coefficients is 0, so x=1 is a root. The rule of signs tells you that there are 2 positive real roots, so there is one more positive real root. Synthetic division tells you the factoring so far is ...
f(x) = (x -1)(x^3 +2x^2 -9x -18)
We note that the first two coefficients have the same ratio as the last two, so we can factor by grouping.
x^3 +2x^2 -9x -18 = x^2(x +2) -9(x +2) = (x^2 -9)(x +2)
Factoring the difference of squares gives you the complete factorization, hence all of the roots. (The zeros are the values of x that make the factors zero.)
f(x) = (x -1)(x +2)(x -3)(x +3)
The zeros are {-3, -2, 1, 3}.
help on this whole thing
Evaluate: 10/ 12 • 2/ 3
Answer:
10/ 12 x 2/ 3 = 10/ 12 x 8/ 12 = 80/12 = 6 8/12
Pls mark brainliest, (Plz correct me if wrong)
Step-by-step explanation:
What quadrant is the point (-3, -3) in
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
brainliest pls
if Ladarius jogs 24 km in 3 hours, how many km can he jog in 5 hours?
Answer:
40 km per hour
Step-by-step explanation:
24 km divide by 3= 8 km per hour.
8km x 5 hours= 40 km in 5 hours
The students at Roosevelt Middle School wear uniforms. They may choose to wear either a navy blue or
white shirt each day. Yesterday, 100 of the 150 eighth-grade students wore blue shirts. What was the ratio of
students wearing blue shirts to students wearing white shirts?
Answer:
the ratio would be 2:3 simplified
9965 divided by 19.9 estimate
Answer: 500.7
500.75 = 500.7
Step-by-step explanation:
The estimated value is 500
What is estimation?Estimating in math is a way of approximately calculating an answer (getting a 'rough answer') or to check its accuracy (the 'right answer').
Given that, 9965 divided by 19.9 estimate
Let 9965 ≈ 9970
19.9 ≈ 20
9970 ÷ 20
9970 / 20
= 498.5
≈ 500
Hence, the estimated value is 500.
Learn more about estimation, click;
https://brainly.com/question/17961193
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I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS FIRST
What is the population density of 13 lillies living in an area of 6 meters (length) and 4 meters (width)?
Answer:
0.54 lillies per square meter.
Step-by-step explanation:
First we calculate the area:
Area = length * width
Area = 6 m * 4 m = 24 m²
The we divide the population of lillies (13) by the area, to calculate the population density:
13 lillies / 24 m² = 0.54 lillies/m²
So the population density is 0.54 lillies per square meter.
What fraction of state legislatures must approve an amendment before it becomes law
Answer:
3/4.
Step-by-step explanation:
The process of amendments to the Constitution of the United States is established and specified in Article V of said regulation. This process can be initiated by Congress or by the state legislatures, and once the amendment is approved by them, the legislatures of at least 3 out of 4 states (75% of the total) must ratify the amendment so that it becomes operative and is inserted into the constitutional text.
In the figure,ABC~ DEF. solve for x
Answer:
B) X = 6
Step-by-step explanation:
The figure transformation is a dilation. And the side lengths increased by two.
9 correct : 15 questions = 45 correct: q questions
please help me
Answer: it should be 75
Step-by-step explanation:
9 times 5 is 45 so 15 times 5 should be 75
Select all the expressions that are equal to 420.
(40 x 1) + (2 x 10)
30 x 10 x 4
20 x 20 x 1
21 x 20
30 x 14
