What is the measure of angle 3?
MNOP is a trapezoid with median QR. Find x.
Answer:
D. x = 7
Step-by-step explanation:
Midsegment of a trapezium = ½(sum of the lengths of the parallel bases) => Trapezoid midsegment theorem
Thus:
QR = ½(NO + MP)
QR = 14
NO = 8
MP = 2x + 6
Plug in the values into the equation
14 = ½(8 + 2x + 6)
14 × 2 = ½(8 + 2x + 6)×2
28 = 8 + 2x + 6
28 = 14 + 2x
28 - 14 = 14 + 2x - 14
14 = 2x
14/2 = 2x/2
7 = x
x = 7
In 2005 the U.S. Census Bureau reported that 68.9% of American families owned their homes. Census data reveal that the ownership rate in one small city is much lower. The city council is debating a plan to offer tax breaks to first-time home buyers in order to encourage people to become homeowners. They decide to adopt the plan on a 2-year trial basis and use the data they collect to make a decision about continuing the tax breaks. Since this plan costs the city tax revenues, they will continue to use it only if there is strong evidence that the rate of home ownership is increasing. a) In words, what will their hypotheses be
Answer:
H0 : Number of homeowners stays the same
H1: Number of homeowners increases.
Step-by-step explanation:
The hypothesis is to test if the level of home ownership rises or doesn't.
For this type of experiment,
The null hypothesis is the current level of home ownership.
The alternative hypothesis which is usually the opposite of the null is meant to challenge the claim of the Null. Hence, the null hypothesis will support the claim or hypothesis of the study, which is that the number of homeowners increases, hence, does not remain the same.
Therefore,
H0 : Number of homeowners stays the same
H1: Number of homeowners increases.
Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.
Answer:
x ≈ 2879.4 m
Step-by-step explanation:
Measure of ∠DAC = 10°
Measure of ∠DAB = 90°
Measure of ∠BAC = 90° - 10° = 80°
By applying cosine rule in ΔABC,
cos(80°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{AB}{AC}[/tex]
0.17365 = [tex]\frac{500}{x}[/tex]
x = [tex]\frac{500}{0.17365}[/tex]
x = 2879.36
x ≈ 2879.4 m
What is 23x9+37-213+(5x12)
Answer: 91
is that a x or multiply?
whats the volume (5 points)
Jackie has a poster that is 8 inches wide by 11 long inches. She wants to enlarge it so that the length is 33 inches. What should the width be?
Answer:
it is 24inches
Step-by-step explanation:
33/11=3
3x8=24
Find the area. Simplify your answer.
x+7 x+2
Answer:
8x+2
Step-by-step explanation:
I think that's right I hope it is
The area of the quadrilateral is (x² + 9x + 14).
Given is a quadrilateral with height equal to (x+7) and the base is (x+2), we need to find the area of the quadrilateral,
So, to find the area of a quadrilateral, we need to know the lengths of both the height and the base.
In this case, the height is given as (x+7) and the base is given as (x+2).
The formula to find the area of a quadrilateral is:
Area = (base × height)
Let's substitute the given values into the formula and solve for the area:
Area = [(x+2) × (x+7)]
To simplify the expression, let's expand the brackets:
Area = (x² + 7x + 2x + 14)
= (x² + 9x + 14)
So, the area of the quadrilateral is (x² + 9x + 14).
Learn more about Areas click;
https://brainly.com/question/30307509
#SPJ6
Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm. Answer ASAP!
Answer:
Lateral area:
A(l) = πrl = 3.14*7*15 = 329.7 cm³Surface area:
A = πr(r + l) = 3.24*7(7 + 15) = 498.96 cm³Answer: 498.96 cm³
Lateral area:
A(l) = πrl = 3.14*7*15 = 329.7 cm³
Surface area:
A = πr(r + l) = 3.24*7(7 + 15) = 498.96 cm³
Solve for x and y simultaneously
Pls help me
I don't think its possible to do this... you have to have 2 equations
lec types 3/5 of a paragraph in 2/3 minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in 1 minute?
Answer:
ik you in MS 118 but still the answer is 9/10
Step-by-step explanation:
multiply by the reciprocal 3/2.
3/5x3/2=9/10
Solve 81^x=27^x +2
x=1
x=2
x=5
x=6
Answer:
x=6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
[tex]{3}^{4x} = {3}^{3( x+ 2)} [/tex]
4x = 3(x + 2)
4x = 3x + 6
4x - 3x = 6
x = 6
What will be the first negative term in the sequence 87,84,81
Answer:
a₃₁
Step-by-step explanation:
The terms have a common difference between consecutive terms, that is
d = 84 - 87 = 81 - 84 = - 3
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 87 and d = - 3 , then
[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n
To find when [tex]a_{n}[/tex] < 0 , solve
90 - 3n < 0 ( subtract 90 from both sides )
- 3n < - 90
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity, then
n > 30
Thus the 31st term will be the first negative term
A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 11100 dollars?
The duration of time period required is 2.4 years.
What is a compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually.
A = P(1+r/100)ⁿ
n = time
A = amount
P = principal
11100 = 3500(1+0.0625)ⁿ
3.171 = (1.0625)ⁿ
Taking log to both sides,
log(3.171) = nlog(1.0625)
n = 2.40
Hence, the required time is 2.4 years.
For more references on compound interest, click;
https://brainly.com/question/14295570
#SPJ2
Someone help please
Answer:
-2x2 y1/3
Step-by-step explanation:
Given two solutions x=-5 and x=7 of a quadratic function, is the value of a =1 or can the value of a different value?
i need the answerrrrr
Answer:
the distance between the points is 9.84885780 and so on so if you round to the nearest tenth it would be 9.8 :)
Step-by-step explanation:
Abcd is rotated counterclockwise about the origin.By how many degrees was abcd rotated?
Answer:
The rotation is 270 degrees counterclockwise
Step-by-step explanation:
Given
See attachment
Required
Degrees of rotation
From the question, the rotation is counterclockwise
Using point B and B' as points of reference.
[tex]B =(2,5)[/tex]
[tex]B' =(5,-2)[/tex]
The rule that supports the above is: rotation by 270 degrees counterclockwise.
Because the rule is:
[tex](x,y) ==>(y,-x)[/tex]
i need help with graph pleasee
Answer:
I drew the graph
I hope this helps you
Give me 3 reasons why the penguins are the best animal will give brain-list
Answer:
Step-by-step explanation:
#1 - they look cool
#2 - they can swim
#3 - they eat fish
Determine the intercepts of the line.
y = -32 + 12
Y-
X-
Answer:
y = − 20
x = none
Step-by-step explanation:
There is no X intercepts
-32 + 12 = 20
Can you please answer without sending links because I can’t open them, thanks!
Answer:
B. C. E.
Explanation:
In answer B, 4b means four of that variable, so you would add them all together, same goes with answer C. In answer E, you would use the "multiply by the reciprocal" rule, which basically means to keep the b as it is, change division to multiplication, and flip [tex]\frac{1}{4}[/tex].
A bullet fired from a gun has a muzzle velocity of 3510 km per hour how long dies it take to travel 100m
Answer:
A bullet fired from a gun has a muzzle velocity of 3510 km per hour how long dies it take to travel 100m
Step-by-step explanation:
Given :
Velocity of bullet = 3510 km/hr
Distance traveled = 100m
Converting distance in meter to kilometer :
(100 / 1000) km = 0.1 km
Recall :
Speed = Distance /time
Time taken = Distance / speed
Therefore,
Time taken = Distance / speed
Time taken = 0.1 km / 3510 km/hr
Time = 2.849 * 10^-5 hour
The base of a triangle is 2 more than three times the side lengths (x). If the
perimeter is equal to 97, then find the base .
Answer: 15
Step-by-step explanation:
An answer with a reasonable response will get brainiest. It is in the picture
Answer:
M = 12.5
Step-by-step explanation:
Simple,
2 times 12.5 is 25
4 times 12.5 is 50
6 times 12.5 is 75
8 times 12.5 is 100
The "m" is just a variable. Kinda like a question mark.
PLSS HELPP!!! I WILL BE GIVING BRAINLIEST AND POINTS:(!!
Answer:
A≈1628.55
Step-by-step explanation:
A=(6ah)+3sqr3a^2=6·8·27+3·sqr3·8^2≈1628.55376
HELP PLEASE
Determine the maximum number of zeros of the polynamial function -8x^4 -x^2+2 please select the best answer choice provided
It’s 1 or 2 or 4 or 3
What is the length of the missing leg?
A dump truck delivers dirt for $6 per cubit foot. The dimensions are 4 3/4 ft by 8 ft by 17 ft. How much does a full load of dirt cost
Answer:
None. There can't be any dirt in it because it's a hole.
Step-by-step explanation:
Write the slope intercept equation for the following table
Step-by-step explanation:
m = y2-y1/X2-X1
slope intercept equation is: y=Mx+b
The slope is based on the formula m and from there pick any points then do the forumla m to find the slope. Anything that have 0 as the X is b which is the y intercept.
Your answer would be
Slope: 2
y-intercept: 7
Answer: y=2x+7