The sum of the measures of the angles of a triangle equals 180°. Write and solve an equation to find the measure of the missing angle.
Answers
Answer:
108.9
Step-by-step explanation:
30.3 + 40.8= 71.1
180 - 71.1= 108.9
The measure of unknown ∠m is equal to 108.9°.
What is triangle inequality theorem?According to the triangle inequality theorem the sum of the length of any two sides will always be greater than the third side. Mathematically -
(a + b) > c
Given is a triangle with its angle measurements.
We know that the sum of the angles of a triangle is equal to 180 degrees.
Therefore, we can write -
∠m + 30.3° + 40.8° = 180°
∠m = 180° - 71.1°
∠m = 108.9°
Therefore, the measure of unknown ∠m is equal to 108.9°.
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Related Questions
True or False: The following two systems of equations are equivalent:
6d + 4.5e = 16.5
5d + 0.5e = 4
and
30d + 22.5e = 82.5
5d + 0.5e = 4
O True
O False
Answers
Answer:
True.. :) Have a nice day.
Step-by-step explanation:
TRUE , the two system of equations are equivalent
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
We have two sets of equations
Let the first set of equation be A
Let the second set of equation be B
Equation set A :
6d + 4.5e = 16.5 be equation (1)
5d + 0.5e = 4 be equation (2)
Equation set B :
30d + 22.5e = 82.5 be equation (3)
5d + 0.5e = 4 be equation (4)
Now , we can see that Equation (3) is a multiple of Equation (1)
Multiply equation (1) by 5 , we get
5 ( 6d + 4.5e = 16.5 )
30d + 22.5e = 82.5 be equation (5)
Therefore , equation (5) = equation (3)
So , equation (1) = equation (3)
And , equation (2) = equation (4)
Therefore , Equation set A is equivalent to Equation set B
Hence , the two system of equations are equivalent
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1-2 Properties of Operations: I can use properties of numbers to rewrite expressions. Type the name of the property that each equation represents.
5) 12 + 8 = 8 + 12 The property is
6) 19 + (42 + 8) = (19 + 42) + 8 The property is
7) 24 + 0 = 24 and 36 x 1 = 36 The property is
help me pleaseee
Answers
A field in the shape of a square has an area of 8,100 square feet . What is the length of 1 side of the field ?
Answers
Answer:
A) Find the square root of 8,100.
Step-by-step explanation:
Answer is above
In a medical research study, a researcher selects a hospital and interviews
all the patients that day. Which sampling method is being used?
Answers
Answer:
vtgg
Step-by-step explanation:
You have a piece of paper, 10cm by 10cm. The
area is 100 cm2. For some reason, you need a
square piece of paper with an area of 50 cm2.
Using the paper you have, what's
an easy way of getting the new
square?
What will be the length of
each side of the new square?
What will be the new perimeter?
Answers
PLEASE HELP! 30 POINTS!! WILL GIVE BRAINLIEST TO BEST ANSWER!!
THANK YOUUU
What is the expression in factored form? please show steps on how to get both answers!
1. x2+13x +42
2. 9x^2−4
^ means its number beside is the exponent.
Answers
Answer:
1. The factored form of the given expression is (x+7)(x+6).
2. What is the expression in factored form . 9x^2 -4
Step-by-step explanation:
1. The given expression is,
The degree of the expression is 2, the constant term is 42, and the coefficient of x is 13.
Use factoring by grouping method
To find the factor form, we have to find two numbers whose sum is 13 and whose product is 42.
The factors of 42 are,
From which the sum of 6 and 7 is 13.
So We can write the 13x as 7x+6x.
2. This expression can be factorized using the difference of squares which can be illustrated as follows:
A^2 - B^2 = (A+B)(A-B)
In the given example:
sqrt(9x^2) = 3x
sqrt(4) = 2
and the two squares are separated by a negative sign
Therefore, the difference of squares is applicable
Based on this, factoring the given expression would give us:
9x^2 - 4 = (3x+2)(3x-2)
A bag contains 20 counters. 12 of the counters are green. A counter is picked at random. What is the probability that it is green? Give you answer as a fraction.
Answers
Answer:
12/20 since the counter of green is of 12 out of 20 to be drawn.
Simplify 4/9 - 5/12 + 1/4
Answers
Answer:
5/18
Step-by-step explanation:
The simplified answer is 5/18
Step-by-step explanation:
the answer is
0.27777777777
Duncan has 13 1/3 cups of sand. He divides the sand equally into 4 containers
Answers
Answer:
if you're asking how much sand is in each container, then
[tex]13 \frac{1}{3} \div 4 = 3 \frac{1}{3} \: cups \: of \: sand[/tex]
Answer um also very confused on this one AA.
Step-by-step explanation:
but i said 2 if your wondering.
You are flying your dragon kite. It is connected to 34 yards of string. The kite is directly above the edge of a pond. The edge of the pond is 29 yards from where the kite is tied to the ground. How high is the kite above the edge of the pond? Round your answer to the nearest tenth.
Answers
Answer:
18 yards
Step-by-step explanation:
To find the height of the kite we need to consider the problem as a right triangle and use the Pythagorean theorem to solve it:
[tex] c^{2} = a^{2} + b^{2} [/tex]
Where:
c: is the length of the hypotenuse
a and b: are the length of the sides of the triangle
We have that the length of one side is 29 yards and the length of the hypotenuse is 34 yards, so we need to find the other side (which represents the height) as follows:
[tex] a = \sqrt{c^{2} - b^{2}} = \sqrt{(34)^{2} - (29)^{2}} = 18 [/tex]
Therefore, the height of the kite is 18 yards.
I hope it helps you!
Plz help 50 points I need help now is it due at 7:30
Answers
Answer:
50
Step-by-step explanation:
A line passes through the points (-3, -1) and (-5, 4). What is the slope.of this line
Answers
Answer:
-2/5
Step-by-step explanation:
[tex]y_{2} - y_{1} \\x_{2} -x_{1} \\4- -1= 5\\ -5--3=-2 \\y=-\frac{2}{5}[/tex]
tl;dr: The slope is -5/2.
Hello!
First, if you get graphing paper and place those points, you'll see that the line is going down instead of up. This tells us that the slope is negative.
Now, we use the rise/run strategy.
Doing so, we are given 5/2. Since this is a negative, the slope will actually be -5/2.
So, the slope is -5/2.
Hope this was helpful. Please, correct me if I got something incorrect. Have a great day!
27 is 25% of __? plz helpppp me Thia is worth all my brainly points
Answers
Answer:
27 is 25% of 108.
Step-by-step explanation:
A question like this is quite easy. You can multiply 27 by 4 to get 108.
That's the answer, hope it helps
find the perimeter
Answers
Answer:
61 7/20
Step-by-step explanation:
HELP!!
Given h(x) = 4x – 1, solve for x when h(x) = -9.
Answers
Answer:
-2
Given:
h(x) = -9
Step-by-step explanation:
h(x) = 4x - 1
-9 = 4x - 1
-9 + 1 = 4x
-8 = 4x
-8/4 = x
x = -2
hope you understood❤
The solution for x when h(x) = -9 is -2
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively
Given;
h(x) = 4x – 1...(1)
h(x) = -9
Substituting the value of h(x) in equation 1
-9=4x-1
-9+1=4x
-8=4x
x=-8/4
x=-2
Therefore, the solution for the equation will be x=-2
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What is 6.92 x 10-3 written in standard form?
Answers
Answer:
6.92000
Step-by-step explanation:
because it has to be between q and 10
the product of 9 and X
Answers
it is 35 degrees Celsius at your school and 90 degrees farenheit at home. where is the tempature higher?
Answers
Answer:
90 is higher
Step-by-step explanation:
Hope this helps! It helps me if u mark me as brainliest :)
Please help I have no clue how to do this
Answers
Answer:
D
Step-by-step explanation:
The Correct Answer Is D, You Will Estimate All Of Your Answers Up, And One Down.
What is the result of solving this equation for x?
y−b=m(x−a)
Answers
x=(y-b)/m
Explanation:
y-b=m(x-a)
Divide both sides by m
(y-b)/m=x-a
Add a to both sides
(y-b)/m+a=x
x=(y-b)/m
I hope this helps! Please comment if you have any questions.
Estimate 2 perfect squares 15 would be between.
1. 3 and 4
2. 4 and 5
3. 2 and 3
4. 6 and 7
Answers
The figure below shows a hexagonal prism. Imagine a cross-section of the prism formed by a plane that is perpendicular to the bases of the prism. What must be true about the cross section.
Answers
Answer:
Hexagon
(Sorry for the late answer,
this'll help kids in the future who google this, at least.)
It's a hexagon
Sorry I'm late (◞‸◟ㆀ)
what is the value of (-3)^3
Answers
Answer:
-27
Step-by-step explanation:
(-3)^3
This is the value inside the parentheses multiplied by itself 3 times
-3 * -3*-3
-27
34(3x+6)−14(5x−24) =
Answers
Answer:
32x+540
Step-by-step explanation:
Answer:
32x + 540
Step-by-step explanation:
1. Solve the multiplication:
102x +204 - 70x + 336
2.Simplify
32x + 540
helppp
Robert bought 3 baseball caps for the same amount and 1 baseball jersey that cost $45. Without tax, the total cost of the items is $90. What is the cost of each baseball cap?
Answers
Answer: The cost of each baseball cap = $15.
Step-by-step explanation:
Let x = cost of each baseball cap
Given; cost of each baseball jersey= $45
Total coast of 3 baseball caps and 1 baseball jersey = $90
i.e. [tex]3x+45=90[/tex]
[tex]\Rightarrow\ 3x=45\\\\\Rightarrow\ x=\dfrac{45}{3}\\\\\Rightarrow\ x= 15[/tex]
Hence, the cost of each baseball cap = $15.
Answer: it is A have a good day
Step-by-step explanation:
Is the equation linear? Select Yes or No for each equation.
Answers
Answer: 1. yes 2. yes 3. no
if x or y has more than one ex: xx
it is not linear
Write the equation of the line in Standard Form that passes through the point
(-3, 2) and has a slope of 4/3
Answers
Answer:
6
Step-by-step explanation:
y = 2x + b/y=mx+c use this equation to solve the sum
using y=mx+c to solve the sum
y=2, x=-3 and m=4/3
after putting and simplfying the eq we get the value of m
Can someone one help me with this ?
Answers
Answer:
Step-by-step explanation:
It should be c
George is building a fence he builds his fence at a constant rate of 1/3 section of fence every 1/2 hour at this rate what fraction represents the section of fence George can build per hour express your answer as a fraction
Answers
Answer:
2/3
Step-by-step explanation:
1/3= 1/2 hr.
×2 ×2
=
2/3=1hr
2/3
help ill mark u as brainlist
Answers
Answer:
C
Step-by-step explanation:
(C) 12.5 if u need any help ask me.
Answer:
[tex]x = 112.5....... \: i.e \: option \: b.[/tex]
Step-by-step explanation:
[tex]first \: you \: need \: to \: write \: the \: statement \: \\ as \: a \: mathematical\: \: expession \: i.e : \\ if \: y \: \alpha \: x \\ y \: = kx \\ k = \frac{y}{x} \\ when \: y \: = 12.5 \: and \: x \: = \: 37.5 \: then : \\ k = \frac{12.5}{37.5} \\ \\ x = \frac{y}{k} = \frac{y}{ \frac{12.5}{37.5} } = \frac{y}{1} \div \frac{12.5}{37.5} = \frac{y}{1} \times \frac{37.5}{12.5} \\ \\ x = \frac{37.5y}{12.5} \\ \\ when \: y = 37.5 \: x \: will \: be : \\ x = \frac{37.5 \times 37.5}{12.5} = 112.5[/tex]