The ratio of the interior angles of a triangle is 4:5:7. What are the angle measures?
Answers
Answer:
45:56.25:78.75
Step-by-step explanation:
a triangle=180º total
4+5+7=16
180÷16=11.25
The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The ratio of the interior angles of a triangle = 4 : 5 : 7
Now,
Find the interior angles of a triangle as;
Since, The ratio of the interior angles of a triangle = 4 : 5 : 7
Hence, First angle = 4x
Second angle = 5x
Third angle = 7x
Since, The sum of all the angles in a triangle = 180°
So, We can formulate;
⇒ 4x + 5x + 7x = 180
⇒ 16x = 180
⇒ x = 180/16
⇒ x = 11.25
Thus, First angle = 4x
= 4 × 11.25
= 45°
Second angle = 5x
= 5 × 11.25
= 56.25°
Third angle = 7x
= 7 × 11.25
= 78.25°
Thus, The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.
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Related Questions
Find the measure angle measure.
Answers
Answer:
42.3
Step-by-step explanation:
add both angles then subtract by 180 and the negative number is your answer
Tammy has 35 coins nickels and quarters. In all she has $4.15. How many of each kind of coin does she have
Answers
The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: dimes, nickels, pennies, and quarters.
Tammy has 23 nickels and 12 quarters.
Let's represent the number of:
Nickels = n
Quarters = q
It is important to note that the value of:
1 nickel = $0.05
1 quarter = $0.25
Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:
n + q = 35
This can be rewritten as :
n = 35 - q
In all, she has $4.15. This statement can be represented using an algebraic equation below:
0.05n + 0.25q = 4.15
We substitute 35 - q for n in the above equation.
0.05(35 - q) + 0.25q = 4.15
1.75 - 0.05q + 0.25q = 4.15
Collect like terms
- 0.05q + 0.25q = 4.15 - 1.75
0.2q = 2.4
Divide both sides by 0.2
0.2q/0.2 = 2.4/0.2
q = 12
Therefore, the number of quarters Tammy has is 12.
Solving for the number of nickels, we have the equation:
n = 35 - q
n = 35 - 12
n = 23
Therefore, the number of nickels Tammy has is 23.
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help with this question
Answers
Answer:
B
Step-by-step explanation:
the roots are the x-values where the graph intersects the x-axis. to find the roots replace y with 0 and solve for x
GUYSSS PLSSS HELP ME WITH THIS QUESTION :))
Answers
Answer:
17
Step-by-step explanation:
1) if to solve the first inequation, tnen 3x<52; ⇔ x<52/3;
2) if to solve the seconde inequation, then 2x≥24; ⇔ x≥12.
3) according to the items 1 and 2 x∈[12;52/3);
4) the largest prime number is 17.
An isosceles triangle is shown. Which two angles must be congruent? A) ∠H ≅ ∠J B) ∠I ≅ ∠J C) ∠I ≅ ∠H D) Cannot be determined
Answers
Answer:
If the triangle has a flat bottom and a pointy top the bottom two angles are congruent
Need some advice Please help me!!! also enjoy these points
Answers
Answer:
what type of help......
) Which list orders the fractions from least to greatest? A.) ½, ¾, ¼, ⅜ B.) ¾, ½, ⅜, ¼ C.) ¼, ⅜, ½, ¾ D.) ⅜, ½, ¾,
Answers
Answer:
I believe the answer is C
(x + 1) divided by 6y
pls show working out pls thx.
Answers
Natural logarithm (redirect from LN(1+X))including: ln ( 1 + x ) = x 1 1 − x 2 2 + x 3 3 − x 4 4 + x 5 5 − ⋯ = x 1 − 0 x + 1 2 x 2 − 1 x + 2 2 x 3 − 2 x + 3 2 x 4 − 3 x + 4 2 x 5 − 4 x + ⋱ {\displaystyle32 KB (5,254 words) - 16:48, 18 October 2021
Hi there I'm douing my homeworks and need to find Common Mistakes of these words if someone can help me I'll be happy thank you. :)
1. Rigid Transformation
2. Translation
3. Rotation
4. Reflection
Answers
what's rational numbers
Answers
PLEASE ANYBODY WHO GETS THIS CORRECT WILL RECEIVE A LOT OF POINTS. THE ONES THAT ARE BLANK ARE THE ANSWER OPTIONS.
Answers
Answer:
Total of both is 6840. Each would be 3420
Answer:
A.3060 students
Step-by-step explanation:
Number of students in E= 72/360*7200 =1440 students
Number of students in B= 81/360 *7200=1620 students
Adding, 1440 students+1620 students=3060 students
2x+2x+2=4x+2 one solution, infinite, or no solution
Answers
Answer:
0=0
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST ASAP
Answers
Answer:
I believe it's also 74°
Step-by-step explanation:
Because AGF and CGE are congruent,so the angle measurement should stay the same
Answer:
CGE is 74°
Step-by-step explanation:
AGF = FGD
FGD = CGE
AGF = EGB
AGF = 74°
FGD = 74°
CGE = 74°
EGB = 74°
360° is a circle and CGA = BGD
74 + 74 + 74 + 74 + x + x = 360
296 + 2x = 360
2x = 360 - 296
2x = 64
2x/2 = 64/2
x = 32
CGA and BGD are 32
CGE is 74°
Hope This Helps! •v•
Help me find x please!!!
Answers
Answer:
Step-by-step explanation:
2) 133 + a = 180 {Linear pair}
a = 180 - 133
a = 47
a +b = 180 {linear pair}
47 + b = 180
b = 180 - 47
b = 133
x = b + 30 {Exterior angle property}
x = 133 +30
x = 163
3) m + 35+ 35 = 180 {Angle sum property of triangle}
m + 70 = 180
m = 180 - 70
m = 110
z = 35 {alternate interior angles are congruent}
x = m + z
x = 110 + 35
x = 145
1.
What is misleading about the graph?
"MASSIVE INCREASE IN
HOUSE PRICES THIS YEAR!”
Answers
Richard had 180 total minutes to do
homework, mow the grass, and walk the dog.
He spent 3(x + 4) minutes mowing the
grass.
He spent (x + 3) minutes working on
homework
He walked the dog for x minutes.
How many minutes did Richard spend
mowing the grass?
Answers
3x+12+x+3+x=5x + 15
5x+15=180
5x=180-15
5x=165
x=165/5
x= 33min
mowing the grass = 3(x+4)
= 3(33+4)
=99+12
=111 min mowing grass
Valeria has been training for the Charlestown cruisers bike race. The first week she trained, she rode 5 days and took the same two routes each day. She rode and 8 mile route each morning and longer route each evening. By the end of the week, she had ridden a total of 115 miles. How many miles did valeria ride each evening
Answers
The number of miles covered every evening obtujwd using a system of equation is 15 miles.
Let the number of miles per evening = m
Number of days = 5 Number of miles per morning = 8 miles Total miles covered = 115 milesUsing the expression below :
Number of days(miles per morning + miles per evening) = 115 miles
5(8 + m) = 115
40 + 5m = 115
5m = 115 - 40
5m = 75
m = 75 / 5
m = 15 miles
Therefore, the Number of miles covered per evening is 15 miles.
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Find x
Please show your work
Answers
Answer:
I think it would be
A= 3/5
B= 7/6
How much percentage of a minute is a second?
Answers
Percentage:-
[tex]\\ \sf\longmapsto \dfrac{1}{60}\times 100[/tex]
[tex]\\ \sf\longmapsto \dfrac{10}{6}[/tex]
[tex]\\ \sf\longmapsto 1.6\%[/tex]
please hehlp!!!!!!!!!!!!!!!!!!!!!
1. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE
a=5.4,b=9.2
2.Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
b=7.7 ,c=15.3
3. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
a=4,c=7.2
4. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
a=6.5, b=14.7
5. Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. Answer with the number only, NO VARIABLE *
b=8.2 , c=15.6
Answers
Answer:
I think its number 4
Step-by-step explanation:
but im not sure
Step-by-step explanation:
here is your answer hope you will enjoy
please mark me as a brainlist
thank you
2. An architect is reading a plan that is drawn on a scale of 0.75 inches to 1 foot. If the plan says that a room is 12 feet high, how high is the roof in the drawing?
Answers
Answer:
9 Inches
Step-by-step explanation:
1 feet is 0.75 inches
12 feet will be 0.75 * 12 = 9 inches
Therefore,it 9 inches.
Answer:
9 inches
Step-by-step explanation:
12 * 0.75 = 9
Answer: 9
Which graph shows the function f(x) = x with an input of f(x – 3)?
Answers
Answer:
Option BStep-by-step explanation:
f(x - 3) is the horizontal shift 3 units right.
The B graph is displaying this translation, the graph A is also a horizontal shift of f(x) = x, but the shift is 3 units left.
The graphs C and D are vertical transformations and therefore incorrect.
Answer:
Its Option D
Step-by-step explanation:
I gotta D for the right answer.
english 5 hhhhhhheeeeellllllpppp me
Answers
Answer:
A
Step-by-step explanation:
because it makes more sense
because ive learned this and its just logic. also read it out loud and think of which one makes more sense
Mr. and Mrs. Smith's children all play different sports. They want to buy a combination of soccer
training sets, which each cost $149, volleyball training set, which each cost $127, and football
training sets which each cost $275. Let s represent number of soccer sets, v represent number of
volleyball sets and frepresent the number of football sets. Which expression represents the total
amount of money the Smiths will spend, before sales tax, based on the number of sports sets they
buy?
Answers
Answer:
149sx+127v+275f =
276
Step-by-step explanation:
multiply all the numbers than add you get the answer 149sx+127v+275f
149s + 127v + 275f is expression represents the total amount of money the Smiths will spend, before sales tax, based on the number of sports sets they buy.
What is Expression?An expression is combination of variables, numbers and operators.
The total amount of money the Smiths will spend on the soccer, volleyball, and football training sets can be represented by the expression:
149s + 127v + 275f
Here, 149s represents the cost of s soccer training sets,
127v represents the cost of v volleyball training sets, and
275f represents the cost of f football training sets.
To find the total amount of money the Smiths will spend based on the number of sports sets they buy, simply substitute the corresponding values of s, v, and f into the expression above and simplify.
Hence, 149s + 127v + 275f is expression represents the total amount of money the Smiths will spend, before sales tax, based on the number of sports sets they buy.
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does anyone know how to this ?
Answers
Answer:
For the first one put 3/5 then for the other box I THINK its 15
Step-by-step explanation:
Which graph shows y=x^2+3x-4
Answers
Answer:
Third graph in the photo
Step-by-step explanation:
x^2+3x-4 can be factored as (x+4)(x-1). When y=0, x must be -4 or 1 to satisfy the equations, and thus the roots of the graph are at x=-4 and x=1. When x=0, y=(4)(-1)=-4. The only graph that satisfies both of these requirements is the third/last one.
5 positive integers are arranged in ascending order, as follows:
5, 7, 10, 11, X
The mean and the median are equal.
Find X.
Answers
Explanation: The numbers are in order by the median/lowest to highest so in that case X wouldn't be 7 because the X would have been next to the 7 not on the other side of the 10.
Find the missing length in the similar triangles.
Answers
Answer:
12/4=x/3
x=9
.........
Answer: x = 9
Step-by-step explanation:
If you multiplied by 3 in the right triangle
5(3) =15
4(3) = 12
and x = 3(3) = 9
please give me a brainliest answer
what are the three proofs in geometry?
Answers
Answer:
Two-Column, Paragraph and Flowchart Proofs.
Hope this helps :)
Cho tam giác ABC vuông tại A có cạnh BC=10 AC=8 tính cạnh AB
Answers
Answer:
AB = 6
Step-by-step explanation:
Áp dụng định lý Pytago, ta có:
AB^2 + AC^2 = BC^2
=> AB = [tex]\sqrt{BC^{2}-AC^2 }[/tex]
[tex]=\sqrt{10^2 - 8^2} \\= \sqrt{100 - 64} \\= \sqrt{36} \\= 6[/tex]