Answer:
see explanation
Step-by-step explanation:
(16)
The mid segment ZW is half the sum of the parallel bases
ZW = [tex]\frac{38+20}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29
(17)
The lower base angles are congruent , so
∠ UYX = ∠ VXY = 35°
(18)
Any lower base angle is supplementary to any upper base angle , then
∠ VUY = 180° - ∠ UYX = 180° - 35° = 145°
(19)
[tex]\frac{UV+XY}{2}[/tex] = ZW
[tex]\frac{3x-1+7x+1}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )
10x = 20 ( divide both sides by 10 )
x = 2
Then
XY = 7x + 1 = 7(2) + 1 = 14 + 1 = 15
(20)
The legs are congruent , so
UY = VX
5a - 6 = 3a + 2 ( subtract 3a from both sides )
2a - 6 = 2 ( add 6 to both sides )
2a = 8 ( divide both sides by 2 )
a = 4
B. Direction: Rewrite the each of the following using EXPONENTS.
Example: Two to the seventh power =2⁷ 7 × 7 × 7 = 7³
5) six with the exponent
6) 10 × 10 × 10
7) 3 × 3 × 3 × 3
5) 6 with the exponent.
6 can be with any exponent (since you haven't given it) like, 6¹, 6², 6³, 6⁴ etc. But, since the value is not given..it'll most probably be 6¹.
6) 10 × 10 × 10 = 10³
7) 3 × 3 × 3 × 3 = 3⁴
_____
Hope it helps ⚜
20 POINTS AND BRAINLIST! WILL BE GIVEN!!
complete the following statements.
<1 and <5 are remote interior angles of <4.
_ and _ and are remote interior angles of <6.
_ and _ are remove interior angles of <2.
The sum of the remote interior angles are equal to the exterior angles.
The completed statements are;
∠1 and ∠3 are remote interior angles of ∠6
∠3 and ∠5 are remote interior angles of ∠2
Reasons:
Remote interior angles are the angles that are not on the same vertex as an exterior angle
The remote interior angles of ∠4 are ∠1 and ∠5
Similarly, we have;
∠1 and ∠3 are remote interior angles of ∠6
∠3 and ∠5 are remote interior angles of ∠2
Learn more about the exterior and interior angles of a triangle here:
https://brainly.com/question/8797215
Suppose X ~ N(6.5, 1.5), and a
3.5. Find and interpret the Z-score of the standardized normal random variable.
Answer:
Step-by-step explanation:
Estimate the product of 54 X 68.
Answer:
54 X 68=3672
Step-by-step explanation:
Help me please, thank you very much.
Answer:
8.9274
Step-by-step explanation:
you need to square both sides then add it together and then find the square root of the new number
single simplified fraction
X/3+X/5
I need help with this please hurry it's timed
Answer:
c 5.34
Step-by-step explanation:
22) A corporate charter specifies that the company may issue up to 20 million shares of stock. The company sells 12 million shares to investors and later buys back 3 million shares. The current number of shares of treasury stock after these transactions have been accounted for is:
Answer:
11 million
Step-by-step explanation:
20 -12 +3 = 11
There will be 11 million shares of stock in the treasury.
4,6,9,...
Find the 8th term.
Find the 8th term.
Answer:
4, 6, 9, 12, 15, 18, 21, 24.
Step-by-step explanation:
The 8th term is 24.
just +2 (add 2) every time.
What is the smallest integer value that makes the inequality true? 3x - 10 > 2x + 4
Answer:
x=0 is the smallest integer
Step-by-step explanation:
subtract the sum of h and 6 from 4
2+2 (I have been having a lot of trouble on this
Answer:
it's 4
Step-by-step explanation:
I hope it helps .....
Answer:
4
Step-by-step explanation:
2+2=4
I'll give a real world problem to help you understand. So pretend that you have 2 cookies on your plate and your sibling has 2 cookies on their plate too. If your siblings gives you their 2 cookies and you add them to your plate, how many cookies are on your plate now? There should now be 4 of them!
Does this help?
What is the prime factorization of 24?
1. 2x2x2x3
2. 2x2x3
3. 8x3
4. 6x4
Answer:
1. 2x2x2x3
Step-by-step explanation:
Let's do process of elimination.
2. 2x2x3
2x2=4 4x3=12
2 is false.
3. 8x3
8x3=24
3 is true, but 8 is not a prime number.
4. 6x4
6x4=24
4 is true, but 6 is not a prime number.
This leaves 1. 2x2x2x3.
1. 2x2x2x3
2x2=4 2x3=6 6x4=24
1 is true, and 2 and 3 are prime numbers. So, the answer is 1.
-hope it helps
Answer:
1. 2x2x2x3
Step-by-step explanation:
Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.
[tex]24\:\mathrm{divides\:by}\:2\\\\\quad \:24=12\cdot \:2[/tex]
[tex]12\:\mathrm{divides\:by}\:2\\\\\quad \:12=6\cdot \:2[/tex]
[tex]6\:\mathrm{divides\:by}\:2\quad\\\\ \:6=3\cdot \:2[/tex]
[tex]2, 6\:\mathrm{divides\:by}\:2\quad \\\\\:6=3\cdot \:2[/tex]
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
m=3/2
Step-by-step explanation:
Two points are shown
point 1: (0;-3). 4;3. -2-6
point 2: (2;0)
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{0 - ( - 3)}{2 - 0} [/tex]
[tex]m = \frac{3}{2} [/tex]
Mr.Plump lost 30 pounds from his original weight of 240 pounds. What percent weight loss did her achieve?
Answer:
12.5%
Step-by-step explanation:
I divided 30 (the amount he lost) by 240 (his original weight). I get 0.125, but need to move the decimal over 2 places to get the percentage.
Yep me pls thanks you so much
Answer:
32
Step-by-step explanation:
To solve, simply put 4 in place of x. 8 times 4 is 32
Find the slope of the line that goes through the points (-4,4) and (4,6)
Answer:
1/4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-4)/(4-(-4))
m=2/(4+4)
m=2/8
m=1/4
find the unknown angle can someone help me pls what is this how do i even find the unknown angle
Answer:
1 135
2 45
3 135
4 45
Step-by-step explanation:
think in terms of supplimentary angles. those that add up to 180
A graph has a constant of proportionality of 35. Let y represent miles and x represent gallons.
What is the unit rate of the relationship?
Enter your answer in the box 100 POINTS WILL MAKE IT BRAINLIEST
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.
64,16,4,…
This is a (geometric/arithmetic) sequence and the (common ratio/common difference) is equal to ____.
Step-by-step explanation:
this is clearly not a linear sequence (the terms don't have the same difference).
so, it has to be a geometric sequence.
the common ratio is r.
s2 = s1 × r
16 = 64 × r
r = 16/64 = 1/4
control :
s3 = s2×r
4 = 16 × 1/4 = 4
correct.
Common ratio is 1/4
What is geometric progression ?A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:
a, ar, ar2, ar3, ar4, and so on.
Where a is the first term and r is the common ratio.
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4
gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]
Hence, common ratio r = 1/4
To learn more about the geometric progression here:
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The ration of boys to girls in the classroom is 5 to 7 if there are 35 girls then how many boy are there construct a tape diagram to demonstrate
Answer:
5+7=12-35=-23
Step-by-step explanation:
If you will subtract 5.789 from 56.1, what is the difference?
Answer:
50.311
Step-by-step explanation:
Simplify the expression.
−6−7
Answer:
-13
Step-by-step explanation:
subtract 7 from -6
Answer: -13
Step-by-step explanation: When you have two numbers with negative signs, you add them but you keep the negative sign.
Therefore, -6-7 = -13
For the future, know these rules for signs when adding, subtracting, dividing and multiplying:
When adding two negative numbers, you add but keep the negative sign like in the above problem.
When adding a positive and negative, you subtract but keep the sign of the highest number. Example: -4+9 = 5 or -11+3 = -8.
When multiplying two negatives or positives numbers, the answer will be positive. When multiplying negatives x positive = negative.
The same applies to division. (-)/(+) = (-) or (+)/(-) = (-)
(-)/(-) = (+)
Hope this explanation and rules help.
Given the equation y=|x| complete the table of values
Answer:
2,1,0,1,2
Step-by-step explanation:
There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.
Answer:
His mother baked 7 more cookies
Simplify the expression 7h+(−8.3d)−13+6d−2.9h.
Answer:−2.3d+4.1h−13
Step-by-step explanation:
The perimeter of a square is 252 feet how long is each side
I’m not sure how to set up this problem
Answer:
63 feet
Step-by-step explanation:
perimeter is the sum of all four sides and, since it's a square then all sides are equal
to find how long each side is divide 252 by 4
252÷4 = 63
Answer:
It seems like you want to solve the question, so I'll not include the answer
Square has 4 sides and each sides are identical length so.
And Perimeter is just the total length of the sides of the shape. So...
Mathematically
Perimeter of square = 4s
where s is length of one side of square
Help help help help help
Answer:
100°
Step-by-step explanation:
Answer:
∡5=100°
Step-by-step explanation:
∡5 is perpendicular to the 100° above, therefore your answer is ∡5=100°.
Brainliest would be appreciated! :-)
The table below shows the number of tadpoles in a pond after a certain number of months.
PLEASE HELP
===================================================
Explanation:
x = number of monthsy = number of tadpolesHighlight the rows that correspond to 6 months and 10 months.
This leads to the two points (6,330) and (10,460).
Apply the slope formula. This is because the slope is the average rate of change.
m = (y2-y1)/(x2-x1)
m = (460-330)/(10-6)
m = 130/4
m = 32.5
This is the average rate of change from month 6 to month 10.
Let A = 32.5 so we can compare it later.
---------------------------
Now let's focus on months 4 and 8
We get the two points (4, 300) and (8, 410)
Use the slope formula again
m = (y2-y1)/(x2-x1)
m = (410-300)/(8-4)
m = 110/4
m = 27.5
Let B = 27.5
--------------------------
For the third answer choice, we have the points (2,240) and (8,410)
Once again, use the slope formula.
m = (y2-y1)/(x2-x1)
m = (410-240)/(8-2)
m = 170/6
m = 28.33 approximately
Let C = 28.33
--------------------------
Lastly for choice D we have the points (4,300) and (10,460)
So,
m = (y2-y1)/(x2-x1)
m = (460-300)/(10-4)
m = 160/6
m = 26.67 approximately
Let D = 26.67
--------------------------
To recap everything, we found these four average rates of change for choices A through D
A = 32.5B = 27.5C = 28.33 (approximate)D = 26.67 (approximate)We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.
5.4-0.25 I'm so confused
Answer:
5.15
Step-by-step explanation:
Answer:
5.15
Step-by-step explanation:
5.4 = 5.40
5.40
- 0.25
= 5.15
because 0.40 - 0.25 = 0.15