The value of both the interior angles of the triangle is calculated as 70° and 35°.
What is the exterior angle property?If a triangle side is formed, the exterior angle made is equal to the sum of a 2 interior opposite angles.
When an equivalent angle is chosen to take at each vertex of the triangle, this same exterior angles always add up to 360°.Each exterior angle equals 180° minus the interior angle. If the relating interior angle is given, this formula can be used. Exterior angle = Sum of opposite angles on the inside. When the exterior angle's distant interior opposite angles are given, this formula can be used to find it.Now, as per the given question;
The exterior angle of a triangle is 105°.
Let one of the interior angle is 'x'.
Then, the other interior angle is 35 degree less; x - 35°.
By the exterior angle property.
Sum of interior angles = exterior angle
x + x - 35° = 105°
2x = 105° + 35°
2x = 140°
x = 70°
The other interior angle is; x - 35°
= 70° - 35°
= 35°
Therefore, the two interior angles of the triangles are estimated as 70° and 35°.
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guys please help me i need your help nonsense report with solution please
Answer:
2.1/5
3.7/5
4.7/20
Step-by-step explanation:
2.1/5
3.7/5
4.7/20
Greetings from Brasil...
A - fraction addition/subtraction with equal denominators = keep the denominator and add/subtract only the numerators
B - fraction addition/subtraction with different denominators = we have to use LCM
2)
(10/15) - (7/15) - case A
(10 - 7)/15 = 3/15
3)
(8/10) + (3/5) - we can simplify the first fraction
(8/10) + (3/5) = (4/5) + (3/5) = (4 + 3)/5 = 7/5
4)
(3/4) - (2/5) - case B
LCM 4 and 5 = 20
(3/4) - (2/5) = 7/20
Helppppppppooppppppp please
Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because 4+8=12 and 1+8=9 is kareem correct? explain how you know.
No, Kareem is not correct because the ratio of 4:1 can never be equal to the ratio of 12:9.
Here,
Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.
Because 4+8=12 and 1+8=9.
We have to find that Kareem is correct or not.
What is a ratio?
Ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
Now,
Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.
Calculate the ratio as;
12 / 9 = ( 3 x 4 ) / ( 3 x 3 ) = 4/3
So,
12 / 9 = 4 / 3
Hence, Kareem is incorrect because the ratio of 4:1 can never be equal to the ratio of 12:9.
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want this q's answers according to the absolute value
Answer:
24; 0
Step-by-step explanation:
Absolute value means number of the value away from zero, either positive or negative. So the absolute value of -24 (for example) is 24 because it is 24 integers away from zero.
Mr jones pays $423.22 for his car payment and $98.30 for his car insurance every month how much is mr jones paying per month for his automotive bills
The total payment done by Mr. Jones every month as he pays $423.22 for car payment and $98.30 for car insurance every month is equal to $ 521.52.
As given,
Payment done for car every month = $423.22
Payment done for car insurance = $98.30
Total payment done by Mr. Jones every month = $ (423.22 + 98.30)
= $521.52
Therefore, the total payment done by Mr. Jones every month as he pays $423.22 for car payments and $98.30 for car insurance every month is equal to $ 521.52.
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The diameters of trees at a nursery are Normally
distributed with a mean of 2.5 inches and a standard
deviation of 0.5 inches.
It was previously calculated that the z-score for 3.22
inches is 1.44 and that the percentage of trees that have
a diameter less than 3.22 inches is 92.51%.
About what percent of trees have a diameter greater than
3.22 inches?
About
% of trees have a diameter greater
than 3.22 inches. Round the percent to 2 decimal
places, if necessary.
Answer: 7.49%
Step-by-step explanation: i got it right on edg
Answer:
7.49%
Step-by-step explanation:
One year on Venus is equivalent to 224.7 days on Earth. How many days on Earth, in decimal from, are equivalent to 9 ½ years on Venus?
By using simple rule of three, a period of 9.5 years on Venus is equivalent to 2134.65 terrestrial days.
How many terrestrial days are equivalent time in Venus?
One year on Earth is equivalent to 365.3 days and one year on Venus is equivalent to 224.7 days, the equivalent terrestrial time of 9.5 years on Venus is found by simple rule of three:
x = 9.5 yr × (224.7 days / 1 yr)
x = 2134.65 days
A period of 9.5 years on Venus is equivalent to 2134.65 terrestrial days.
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Write a quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3)
The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3) = 1/3(x-4)(x-2)
What is quadratic function?A quadratic function is one of the following: f(x) = ax2 + bx + c, where a, b, and c are positive integers and an is not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can expand up or down, and their "width" or "steepness" can vary, but they all share the same basic "U" shape.
According to the given data:The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3)
We utilize equation when p and q are the roots.
y = a(x- p)(x-q)
We are given with roots 4 and -2
y = a(x- 4)(x-(-2))
y = a(x- 4)(x + 2)
Now we use the given point (3,-3) to find out 'a'
3 = a(3- 4)(3 + 1)
3= a(-1)(-2)
3= 1a
a = 1/3
Replace the value of 'a'
f(x) = 1/3(x-4)(x-2)
The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3) = 1/3(x-4)(x-2)
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The speed of light is about 2.998 x 10^8 meters per second. The speed of sound is about 343 meters per second. About how many times faster
is light than sound?
Light is about 874052.5 times faster than sound
Calculating speedFrom the question, we are to determine the magnitude by which light is faster than sound
From the given information,
The speed of light is about 2.998 x 10⁸ meters per second.
and
The speed of sound is about 343 meters per second.
To determine how many rimes faster the speed of light is than the speed of sound, we will divide the speed of light by the speed of sound
That,
The magnitude by which light is faster than sound = (2.998 x 10⁸) / 343
The magnitude by which light is faster than sound = 874052.5
Hence, light is about 874052.5 times faster than sound
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Which of the following is equivalent to −4(2x + 3y) − 6(3q + 7p)?
−8x + 12y − 18q + 42p
−8x − 12y − 18q − 42p
−8x + 3y − 18q + 7p
−24(2x + 3y − 3q + 7p)
Answer:
−8x − 12y − 18q − 42p
Step-by-step explanation:
-4 x 3y = -12y and only number 2 is correct
The solution is Option B.
The value of the equation is A = -8x - 12y - 18q - 42p
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 ,
Let the equation be represented as A
Now , the value of A is given by
A = -4 ( 2x + 3y ) - 6 ( 3q + 7p )
Now , on simplifying the equation , we get
A = -4 ( 2x ) - 4 ( 3y ) - 6 ( 3q ) - 6 ( 7p )
The value of A = -8x - 12y - 18q - 42p
Therefore , the value of A is -8x - 12y - 18q - 42p
Hence , The value of the equation is A = -8x - 12y - 18q - 42p
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What does the y-coordinate have to be for a point to be on the x-axis?
Step-by-step explanation:
If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.
How do I find the slope
Answer:
y=4x-1
Step-by-step explanation:
to find the slope you use this equation
(y2-y1) / (x2-x1)
you also need y=mx+b to write in your final equation for the slope,
m is the slope and b is the y intercept (where the point meets the y axis, horizontal line that goes like this | )
first, you got lucky this equation gave you the b value( remember, b is the y intercept) , which you can find when x is 0.
to find the slope we choose any two coordinates (x,y) from the table
i choose (0,-1) and (5,19)
and we put this in this formula
(y2-y1) /
(x2-x1)
(19+1) it’s plus because subtracting a negative - - makes it positive
so
(19+1)/
(5-0)
= 20/5 which is 4. so m( the slope) m=4
now that we have b=-1 and m=4 we can write the final answer equation
which is
y=4x-1
Compute the value of the discriminate and give the number for solutions of the quadratic equation 8x^2+3x-2=0
please need this asap!
Answer:
down below
Step-by-step explanation:
Top left: X is greater than or equal to 3. Top right: X is less than or equal to 3. Bottom left: X is greater than 3. Bottom right: X is less than 3.
The greater than or equal to sign and the less than or equal to sign has a closed circle because it is marking the point and moving forward or back. Ex: less than or equal to 3. It would be a closed circle because it is the specific point and what ever is beyond or behind it. The less than or greater than sign would have a closed circle because it is only what is beyond or behind the certain number.
Hope this helps! :)
does someone mind helping me with this? Thank you!
Answer:
[tex]{ \tt{ \angle4 + \angle3 = 180}} \\ { \boxed{ \tt{ \angle3 \equiv \angle7}}} \\ { \tt{\angle4 + 114 = 180}} \\ { \tt{\angle4 = 180 - 114}} \\ { \underline{ \tt{ \: \angle4 \: = 66 \: }}}[/tex]
-(16 - 5x) simplified
Answer:
5x-16
Step-by-step explanation:
-(16 - 5x)
Use distributive property to open parenthesis.
-(16 - 5x)=
=(-1*16)+(-1*-5x)=
=(-16)+(5x)=
=5x-16
Finding x.
5x-16=0
5x=16
x=3.2
Hope this helps!
Please mark as brainliest if correct!
Translate into an equation
16 less than twice a number is -
10
Answer:
2x-16=10
Step-by-step explanation:
16 less is -16
twice a number is 2x because the number is unknown
Answer: 2n-16= 10
Step-by-step explanation:
Let's break this sentence into parts.
"16 less than": always translates to something -16. Hack: Whenever you see "something less than" you put a subtraction sign and that number on the right side. just like "5 less than" becomes something -5.
'twice a number': 2 times a number's value, or 2 times the number. let's say the number is 4. "twice the number" means to double it's value. 4x2=8. In this case, you write 2n.
- 2n translates to "2 times a number". A number next to a letter means they're being multiplied.
"is 10": =10. Hack: "is" always becomes an equals sign.
Combine
16 less than , twice a number, is 10.
2n - 16= 10
Free questions with clear explanations on this skill here:
https://www.ixl.com/math/grade-7/write-an-equation-from-wordshttps://www.ixl.com/math/grade-7/write-an-equation-from-words
Hope this helps!! :D
6/5 Given that and k are roots of the quadratic equation = h(x-2), where h is a constant. Find the values (5x-6)(x+2) of h and k.
One year on Venus is equivalent to 224.7 days on Earth. How many days on Earth, in decimal form, are equivalent
to 9 years on Venus?
Record your answer in the boxes below. Be sure to use the correct place value.
The number of days on Earth, in decimal form that, are equivalent.to 9 years on Venus will be 2022.3 days.
How to calculate the value?From the information, one year on Venus is equivalent to 224.7 days on Earth.
Therefore, the number of days on Earth, in decimal form that, are equivalent to 9 years on Venus will be:
= 224.7 × 9
= 2022.3 days.
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Answer:
2022.3
Step-by-step explanation:
POSSIBLE POINTS. 1
Construction workers are building a marble sidewalk around a park that is shaped like a right triangle. Each marble slab adds 2 feet to the length of the
sidewalk. The workers find that exactly 1071 and 1840 slabs are required to make the sidewalks along the short sides of the sidewalk that runs along the
long side of the park?
Answer:
Step-by-step explanation:
a^2 + b^2 = c^2
where
a and b are the legs
and
c is the hypotenuse
.
the problem gives the "legs" because the LONGEST leg is always the hypotenuse.
a^2 + b^2 = c^2
1071^2 + 1840^2 = c^2
1147041 + 3385600 = c^2
4532641 = c^2
help needed on this question! with show work
Answer: 5 cm
Step-by-step explanation:
We know that 3x + 2x makes up one side of the square. Recall that the formula for a square's perimeter is P = 4a. Thus:
(3x + 2x) * 4 = 100
5x * 4 = 100
20x = 100 (divide by 20)
x = 5 (cm)
Select the domain and range of the graph in set-builder and interval notation.
The domain of the graph in set builder notation is; x ≤ -2 or x ≥ 1
The range of the graph in set builder notation is; y ≥ -2 or y ≥ 1
What is the domain and range of the graph?Domain refers to the set of all possible input values and Range refers to the set of all possible output values generated by the function.
Now, from the given graph, we can see that there are two lines. Thus;
Domain of left graph line is; x ≤ -2
Domain of right graph line is; x ≥ 1
Thus, the domain of the graph in set builder notation is;
x ≤ -2 or x ≥ 1
Similarly, the range is as follows;
Range of the left graph line is; y ≥ 1
Range of the right graph line is; y ≥ -2
Thus, the range of the graph in set builder notation is;
y ≥ -2 or y ≥ 1
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Y-3x=13+3x
HELP plis :(
Answer:
Step-by-step explanation:
Y-3x=13+3x
I need help with this its still confusing
Answer:
64 and 13 I hope this helps
Step-by-step explanation:
write each quadratic function below in terms of linear factors
f(x)=x^2+81
(x+3i)(x-3i)
A real number and an imaginary number are effectively combined to create a complex number. The complex number is written as a+ib, where a and ib are real and imaginary numbers, respectively. Additionally, I = √-1 and both a and b are real numbers.
Consequently, a complex number is a straightforward illustration of the addition of two integers, specifically a real number and an imaginary number. It consists of two parts: one that is entirely real, the other entirely fantastical.
Using complex numbers,
x²+81 = x² - (-9i)²
= (x²- 9²i²)
= (x+3i)(x-3i)
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(100) points and branlyist PLS HELP
Ryan collects rainwater in a barrel for his garden. The barrel is filled with 18 gallons of water. Ryan used 9.7 gallons to water his garden in June and 3 and one eighth gallons in July. How much water is left in the barrel?
24.575 gallons
5.175 gallons
3.168 gallons
3.125 gallons
Answer: 5.175
Step-by-step explanation: 18 - 9.7 - 3 1/8 = 5.175
Simplify the expression. 3 + 2 • 4 Question 1 options: 9 11 20 24
Answer:
11
Step-by-step explanation:
3 + 2 × 4 ( multiplication before addition )
= 3 + 8
= 11
4/24 = 1/? denominator=
(4y - 15) 7y + x = 180
Identify the type of data (qualitative/quantitative) and the level of measurement for the assets of respondents in a survey. explain your choice.
Assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.
What is a Qualitative and a Quantitative Data?Qualitative properties are properties that are observed and can generally not be measured with a numerical result.
Examples of quantitative data include, number of students in a class, weight of students in a class, etc.
Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.
Examples of qualitative data include hair color, religion, nationality, etc.
Thus, assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.
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