Step-by-step explanation:
as we know, 1 exterior angle is equal to 2 interior angle
therefore let angle u be x.
now,
→ 65° + x = 105
→ x = 105 - 65 = 40°
therefore
TUS = 40°
and to know measure of angle TSU apply angle sum property of triangle in ∆TUS
so,
65 + 40 + TSU = 180
105 + TSU = 180
TSU = 180 - 105 = 75°
therefore,
TSU = 75°
hope this answer helps you dear! take care
A drilling crew dug to a height of -45 1/4 feet during their first day of drilling. On the second day, the crew dug down 9 1/3 feet more than on the first day. Describe the height of the bottom of the hole after the second day.
The height of the bottom of the hole after the second day is -35 11/12 feet
Given:
Day 1 height = -45 1/4 feet
Day 2 height = -45 1/4 + 9 1/3
= - 181/4 + 28/3
= (-543 + 112) / 12
= -431/12
= -35 11/12 feet
Therefore, the height of the bottom of the hole after the second day is -35 11/12 feet
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10) Consider two lines. Line A is given by the function f(x) = 4x − 9, while Line B contains the points (0, 5) and (2, 12). Which statement is true? A) Line A and Line B have the same slope. B) Line A has a greater slope than Line B. C) Line B has a greater slope than Line A. D) Line A slope is less than the slope of Line B.
Answer:
B) Line A has a greater slope than Line B.
Step-by-step explanation:
When looking at [tex]f(x)=4x-9[/tex] is basically the same way of saying [tex]y=4x-9[/tex]
which is in slope-intercept form. Because of that, we know that the slope of line A is 4.
To find the slope of line B we have to use the slope formula
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m=\frac{7}{2}[/tex] as a decimal [tex]m=3.5[/tex]
So line A slope = 4 and line B slope = 3.5
Which makes line A slope greater than line B slope
Select all ratios equivalent to 1:2.
8:16
9:18
4:6
Submit
Answer:
8:16 and 9:18
Step-by-step explanation:
When looking at 1:2 you can see that 1 + 1 = 2 from this we can easily tell that the answer will be like this. 8 + 8 = 16 and 9 + 9 = 18 but 4 + 4 = 8 and not 6.
Find (x) and (y) intercept
I’ve tried rearranging it to (y=mx+c) but i got the wrong answer
Pls help
Answer:
X = (5,0)
Y = (0,-2)
How to divide polynomials by long division.
Answer:
To divide two polynomials, here are the procedures: Arrange both the divisor and dividend in descending order of their degrees. Divide the 1st term of the dividend by the 1 st term of the divisor to obtain the 1st term of the quotient. Find the product of all the terms of the divisor and the 1st term quotient and subtract the dividend's answer. More items...
Step-by-step explanation:
Subtract 6 1/3 - 2 1/5
Answer:
4 2/15
Step-by-step explanation:
Convert both fractions to have the same denominator. Find the LCM of 3 and 5 and multiply by what you need to get there. 1x5=5, 3x5=15, so 1/3 becomes 5/15, and 1x3=3, 5x3=15, so 1/5 becomes 3/15. Finally, do normal subtraction, to get 4 2/15.
help me for brainlist
The line intersects x - Axis at 6
- BRAINLIEST ANSWERER
Given the graph of y=f(x), shown as a green curve, drag the green movable points to draw the graph of y=−f(x). When the green line is moved a red dashed line will appear where the original graph appeared for reference. Notice that you can control the positioning of the reflective function with the coordinate labeled "Drag Function" and control the width of the reflection with the coordinate labeled "Control Width."
The resulting function is presented in the image attached below.
In this question we know the graphic of a function and we must draw a new function which is the reflection of the original one around the x-axis. Mathematically speaking, a reflection a around the x-axis is defined by the following operation:
[tex]f'(x) = f(x) - 2\cdot [f(x) - 0][/tex]
[tex]f'(x) = - f(x)[/tex] (1)
Which means that the reflected function is equal to the original function multiplied by -1.
Now, we proceed to represent the reflected function graphically.
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When you divide fraction how do you find quotient.
Answer:
To divide two fractions, you must make one fraction the reciprocal. Then, multiply both numerators and both denominators.
EXAMPLE:
3/4 x 4/5
Take reciprocal for 4/5
3/4 x 5/4
Multiply numerators
3x5=15
Multiply denominators
4x4=16
ANSWER:
15/16
what is the solution set of the equation set 3|5-x|+2=29 ?
Answer:
Answer: x = - 4 or x = 14.
Step-by-step explanation:
Rearrange unknown terms to the left side of the equation:3 |5 - x| = 29 - 2Calculate the sum or diff.
The tip of a 5ft ladder plank is resting on a man's head,the next end is on level ground 3.5 ft away from the man. Determine the height of the man to the nearest whole number.
Answer:
4 ft
Step-by-step explanation:
This is a right triangle problem
the hypotenuse is 5
Therefor
a^2 + 3.5^2 = 5^2
a^2 = 5^2 - 3.5^2
a^2 = 25 - 12.25
a^2 = 12.75
a = 3.5707142143
to the nearest whole number.
4 ft (that's a very short man)
4952 rounded to the nearest ten
Answer:
4950
Step-by-step explanation:
4952 has:
'4' in the thousands place
'9' in the hundreds place
'5' in the tens place
'2' in the ones place
Rounding to the nearest tens means to look at the value in the ones place and if it is 5 or greater the value in the tens place increases by one, otherwise it remains the same
Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
Answer:
$125 per month
Step-by-step explanation:
Triangle ABC is shown. The measure of the interior angle at point A is 29° and the exterior angle at point C is 82°.
What is the measure of angle x?
Answer:
127
Step-by-step explanation:
What is Perfect square
Answer:
A perfect square is an integer that results in another integer when square rooted.
Step-by-step explanation:
For example:
16 is a perfect square because [tex]\sqrt{16}[/tex] = 4.
16 and 4 are both integers
Also, notice that 4 x 4 = 16
Answer:
A perfect square is a number that can be multiplied together by the same numbers/digits/values.
Step-by-step explanation:
Examples:
√25
5 times 5 is 25 thus √25 is a perfect square
√144
12 times 12 is 144 thus √144 is a perfect square
Hope this helps!
Find the measure of angle x in the figure
Step-by-step explanation:
apply angle sum property of triangle in ∆BCA
now,
x + x + 110° = 180
2x = 180 - 110 = 70
x = 70/2 = 35
x = 35°
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
You have a recipe that indicates to use 6 parts of sugar for every 5 parts of flour. You use 24 cups of sugar. How much flour do you need?
10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function? Show your work for full credit!
a.2x
b.2x+2
c.x^2
d.2x^2
Answer:
B 2x+2 I don't know whether is correct or not
Tim planted a tree that was 0.17 feet tall. After 6 years, the tree was 100 times as tall as when he planted it. what is the height of the tree after 6 years?
Answer:
17 feet tall
Step-by-step explanation:
0.17 x 100 is 17
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Neither
Step-by-step explanation:
Parallel lines need to have the same slopes, but lines A and B have different slopes, so parallel is off the list.
Perpendicular lines need slopes that multiply to -1, meaning one of them must be negative. This is not possible if both are greater than 1, making them positive. The lines cannot be perpendicular.
If they are the same line, they need the same slopes. However, they have different slopes, making this option impossible.
We are left with neither.
The slope of the line formed between point A and point C on the graph is 2/3
What is the slope of the line formed between point C and point E?
Answer:
B. 1/2
Step-by-step explanation:
i think
Gabi owns one parcel measuring one square mile and another parcel measuring one mile x half a mile. She combined the parcels and sold them for $2.5 million. What price per acre did she receive for the land
We want to get the price per acre that she receives for the land, we will get that the price per acre is $2,777.8
First, we need to find the total area of the land.
There are two parcels, one with an area of 1 mi^2, and the other with dimensions of one-mile x half a mile, then the area of the other parcel is:
A' = (1 mi)*(0.5 mi) = 0.5 mi^2
The total area is the sum of these two, we get:
1 mi^2 + 0.5 mi^2 = 1.5 mi^2
And notice that we want to get the price per acre, knowing that:
1 mi^2 = 640 acres, then:
1.5 mi^2 = 1.5*(640 acres) = 900 acres.
The price per acre is equal to the quotient between the total price for the area and the number of acres, this gives:
P = ($2,500,000)/(900 acres) = $2,777.8
So each acre costs $2,777.8
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Hurry please
Answer ASAP
IS CELL REPLICATION THE SAME THING AS DNA REPLICATION OR ARE THEY TWO SEPERATE THINGS
Answer:
See below:
Step-by-step explanation:
So, first of all, we know that Cell and DNA Replication are different just by looking at their names.
Cell Replication is to replicate cells and not DNA whereas DNA replication replicates DNA but not cells.
We do know that DNA resides inside Cells what we call eukaryotes.
So, in short, no, they are different things.
Cheers!
Ginny factored 6x2 – 31x – 30 as shown:
ac = –180 and b = 31
36(–5) = –180 and 36 + (–5) = 31
6x2 + 36x – 5x – 30
6x(x + 6) – 5(x + 6)
(x + 6)(6x – 5)
Determine if Ginny factored correctly. If not, explain where she made an error.
Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
Ginny was correct until step 3 when she used 36 and –5 as the coefficients of x.
Ginny was correct until step 4 when she incorrectly factored the GCF from 5x – 30.
Ginny factored the trinomial correctly.
Answer:
(a) Ginny made a mistake in step 1 when she identified b = 31. It should be b=–31.
Step-by-step explanation:
The value of b is the coefficient of x. In the given quadratic expression, the coefficient of x is -31, so Ginny should have started with b = -31 in step 1.
Answer:
A
Step-by-step explanation:
If (x) - 3x2 - 2x* 4 and g(x) = 5x2 - 6x - 8, find (f + 9) (4),
A. (14 g)(x) = 2x2 - 8x+12
B. (I* (*) - 2x2 4 84 - 12
C. (1 + 9)(x) = 8x2 + 4x - 4
D. (1+ g)(x) = 8x2 + 8x + 12
Answer:
C
Step-by-step explanation:
3x^2+5x^2-2x+6x+4-8
8x^2+4x-4
Identify the slope (m) and y-intercept (b) for 3x + 4y = 9.
Answer:
slope= -¾
[tex]y - intercept = 2 \frac{1}{4} [/tex]
Step-by-step explanation:
3x +4y= 9
Let's rewrite the equation into the form of y= mx +b (known as slope-intercept form), where m is the slope and b is the y-intercept.
Keep the y term on the left-hand side of the equation and move all the other terms to the right-hand side.
4y= -3x +9
For the coefficient of y to be 1, divide both sides of the equation by 4.
[tex]y = - \frac{3}{4} x + \frac{9}{4} [/tex]
[tex]y = - \frac{3}{4} x + 2 \frac{1}{4} [/tex]
[tex]slope = - \frac{3}{4} [/tex]
[tex]y - intercept = 2 \frac{1}{4} [/tex]
work out the circumference area of glass on top of a cabinet with a diameter of 1.8, using tt=3.4
Select the ordered pair that is a solution to the equation represented by the graph.
Answer:
c
Step-by-step explanation:
There are 144 people in an audience. The ratio of adults to children is 5 to 3. How many adults?
Answer:
5:3....added = 8
5/8(144) = 720/8 = 90 adults
3/8(144) = 432/8 = 54 children