Triangle ABC has angle measures as shown. (a) What is the value of x? Show your work. (b) What is the measure of angle C? Show your work.
The value of x is 29.
The measure of angle C is 93.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The sum of the angles = 180
So,
From the triangle,
3(x + 2) + 35 + 52 = 180
3x + 6 + 35 + 52 = 180
3x + 93 = 180
3x = 180 - 93
3x = 87
x = 29
Now,
∠C = 3 (x + 2)
= 3 (29 + 2)
= 3 x 31
= 93
Thus,
The value of x is 29.
The measure of angle C is 93.
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Simplify the expression 9 + 4n - 1 - 3n
Divide and round to the nearest tenth 3.5 divided by 2.29
The answer will be 1.53 after dividing and rounding to the nearest tenth 3.5 divided by 2.29.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
= 3.5/2.29
After dividing we will get:
= 1.528
Rounding to the nearest tenth:
= 1.53
Thus, the answer will be 1.53 after dividing and rounding to the nearest tenth 3.5 divided by 2.29.
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Jason takes 2 centiliters of medicine. How many milliliters is this?
one number is 9 times a first number. A third number is 100 more than the first number. Of the sum of the three numbers is 1167, find the numbers
what is the surface area of a cube with a side length of 3 1/4 in
help plz i want help
Can anyone help me? Or at least explain how you solved the problem
Thomas has to type 1200 words. He has already typed 300 words. he can type 60 words per minute. Determine the number of minutes it will take him to finish typing.
The function f(x) varies inversely with x and f(x) = 0.9 when x = 0.5 what is f(x) when x = 1.5 ? a. 0.02 b. 0.03 c. 0.3 d.0.75 PLEASE HELP ME I WILL MARK BRAINLIEST!!!!!!!!!!!!!
Answer:
The answer is 0.3
Step-by-step explanation:
Whats the original price for this?
I'll give brainliest to whoever shows their work. Plz answer fast.
Jana is ordering a list of numbers from least to greatest.
Which statement can be used to create her list?
A) The square root of 0.8 is less than 4/5 because 0.8= 4/5 and the square root of a number less than 1 is less than the number itself.
B) The square root of 7 is greater than the square root of 7^2 because the square root of 7^2=7 and the square root of a number greater than 1 is greater than the number itself.
C) (The square root of 5)^2 is less than the square root of 7 because (The square root of 5)^2= 5 and the square root of 7 is between 6 and 8.
D) the square root of 7 is greater than 4/5 because 4/5 is less than 1 and the square root of a number greater than 1 is greater than 1.
Answer:
The Correct Would Be OPTION : D
Step-by-step explanation:
Izracunaj opseg i povrsinu kruga upisanog u kvadrat stranice duljine 8 cm.
The question in English is
Calculate the circumference of the circle entered in a square 8 cm long
we know that
The circumference of a circle is equal to
[tex]C=\pi D[/tex]
where
D is the diameter of the circle
In this problem we have that
the diameter of the circle is equal to the length of the square
so
[tex]D=8\ cm[/tex]
Find the circumference
[tex]C=8\pi\ cm=25.13\ cm [/tex]
therefore
the answer is
The circumference of a circle is equal to [tex]8\pi\ cm\ or\ 25.13\ cm[/tex]
What are like terms? How do you combine them? Can you give an example?
What are the coordinates of the vertex of the graph? Is it a maximum or minimum
Based on the graph, the coordinates of the vertex are at (0, -1), and since the parabola opens upwards, the vertex is a minimum.
Therefore, the correct answer is A:
(0,-1) ; minimum
The image shows a parabola opening upwards on a coordinate plane. The vertex of a parabola is the highest or lowest point on the graph, depending on whether the parabola opens downward or upward, respectively.
Here's a detailed explanation for identifying the vertex and determining if it is a maximum or minimum:
Step 1: Identify the Vertex
The vertex of a parabola in the form [tex]\(y = ax^2 + bx + c\)[/tex] can be found using the vertex formula [tex]\(x = -\frac{b}{2a}\)[/tex] for the x-coordinate and then substituting that back into the equation for y to find the y-coordinate. However, in this case, we can directly observe the vertex from the graph. It's the point where the parabola changes direction.
Step 2: Read the Coordinates from the Graph
From the graph, we can see that the vertex is at the origin of the parabola's turning point. It appears to be at (0, -1) by looking at where the axis of symmetry of the parabola intersects the y-axis.
Step 3: Determine Maximum or Minimum
Since the parabola opens upwards, as indicated by the shape of the graph, the vertex represents the minimum point of the parabola. If the parabola were to open downwards, the vertex would represent the maximum point.
Choose the correct simplification of (4x3 − 3x − 7) + (3x3 + 5x + 3). (5 points) 7x3 − 2x − 4 x3 − 8x − 10 7x3 + 2x − 4 x3 + 8x + 10
The number of taxi accidents is approximated by y equals negative 143.3 x squared plus 1823.3 x plus 6820 and the number of injuries is approximated by y equals negative 416.72 x squared plus 4416.7 x plus 8500. Let xequals0 represents 1990, xequals1 represents 1991, and so on.
24 is what percent of 40?
Show work please! Thanks
Please help on #8, Due really soon!!
What property is l times w = w times l
Answer:
This property is communitive
Step-by-step explanation:
A sign says that the price marked on all music equipment is at a discount for 30% off. You buy an electric guitar for the same price of $315.
{Im only in 7th grade.}
What is the percent you pay? _____________
Write an equation to find the regular price of the item. __________________
What was the regular price? ____________
The percent paid after a 30% discount is 70% of the regular price. The equation to find the regular price is 0.70 * P = $315. Solving this gives us the regular price of the electric guitar, which is $450.
Explanation:If a sign says that the price marked on all music equipment is at a discount for 30% off, and you buy an electric guitar for $315, we need to figure out the percent you actually pay and the regular price of the guitar.
Since the discount is 30%, you pay 100% - 30% = 70% of the regular price.
Let's call the regular price 'P'. The equation to find the regular price of the item after a 30% discount is:
0.70 * P = $315
To find the regular price 'P', we divide both sides of the equation by 0.70:
P = $315 / 0.70
P = $450
The regular price of the electric guitar before the discount was $450.
Can you make a triangle with only acute angles, and none of the sides is the same length? If no can you please explain?
What is the area of the figure?
A. 617.5 m^2
B. 824 m^2
C. 759 m^2
713.5 m^2
What is $1200 at 5.6% for 4 years
1440 tons of grain were brought to a silo over two days. On the second day, 80% of the amount of the grain delivered during the first day was brought in. How many tons of grain were delivered to the silo on the first day?
Final answer:
To find out how many tons of grain were delivered on the first day, a simple algebraic equation was set up and solved to show that 800 tons were delivered on the first day.
Explanation:
Given that 1440 tons of grain were delivered to a silo over two days, we need to determine the amount delivered on the first day. It was stated that the second day's delivery was 80% of the first day's. Let's represent the first day's delivery as x tons. Therefore, the second day's delivery would be 0.80x tons. The sum of the two-day deliveries equals 1440 tons. This gives us the equation:
x + 0.80x = 1440
To solve this equation, we combine like terms:
1.80x = 1440
Dividing both sides by 1.80 gives us:
x = 1440 / 1.80
x = 800
Thus, 800 tons of grain were delivered on the first day.
what is 78 million in scientic notation?
In this problem, you are asked to write a number in scientific notation. In figures, 78 million would look like this:
78,000,000
To write this to scientific notation, you have to move the decimal point to the left until you will get a number between 1 and 10.
Here, you will have to move the decimal point 7 times to get 7.8
The exponent of the scientific notation is the number of times you moved your decimal point. Since the movement of decimal point is going to the left, you will have a positive exponent.
The scientific notation would look like this:
7.8 x 10^7
factor 2cos^2x-5cosx+2=0
Find 0.8% of 1,046 what is 0.8% of 1,046
The required answer would be 8.368 which is 0.8 percent of 1,046.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For instance, If Mishali obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
We have to determine the evaluation of 0.8% of 1,046.
⇒ 0.8% of 1,046
0.8% is expressed as 0.8/100 in fractional form
⇒ (0.8/100)(1,046)
0.8/100 is expressed as 0.008 in decimal form
⇒ (0.008 )(1,046)
Apply the multiplication operation, and we get
⇒ 8.368
Therefore, 0.8% of 1,046 would be 8.368.
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What is the volume of a cylinder with a radius of 4 inches and a height of 7 inches
Answer is provided in the image attached.
a soccer field has a length of 100 yards and a width of 60 yards .which equation can you use to find the area of the soccer field
Final answer:
To find the area of a soccer field with a length of 100 yards and a width of 60 yards, the equation used is Area = 100 yards × 60 yards, resulting in an area of 6000 square yards.
Explanation:
To calculate the area of a soccer field with a length of 100 yards and a width of 60 yards, we can use the formula for the area of a rectangle, which is Area = length × width. In this case, we would calculate the area as follows:
Step 1: Identify the Formula
Area = length × width
Step 2: Plug in the Measurements
Area = 100 yards × 60 yards
Step 3: Calculate the Area
Area = 6000 square yards
Therefore, the equation to find the area of the soccer field is Area = 100 yards × 60 yards, giving us an area of 6000 square yards.