Please help.. Answer number 34 and 35. For number 34 find the measures of the numbered angles in each isosceles trapezoid. For number 35 find the measures of the numbered angles in each kite.
Answer:
33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°
34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°
35. m∠1 = 90°, m∠2 = 25°
Step-by-step explanation:
33. The given parameters of the isosceles trapezoid are;
The measure of one of the base angles = 45°
For an isosceles trapezoid, the base angles are equal, therefore, we have;
The measure of the other base angle = m∠3 = 45°
Similarly, m∠1 = m∠2
Also, we have;
The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°
∴ 45° + m∠3 + m∠1 + m∠2 = 360°
By substituting the known values, we have;
45° + 45° + m∠1 + m∠2 = 360°
From m∠1 = m∠2, we have;
45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°
2·m∠1 = 360° - 90° = 270°
∴ m∠1 = 270°/2 = 135°
m∠1 = 135° = m∠2
Therefore, we have;
∠3 = 45°, ∠1 = 135°, ∠2 = 135°
34. The measure of the base angles = 80°
∴ The measure of the other base angle = m∠1 = 80°
m∠2 = m∠3
80° + m∠1 + m∠2 + m∠3 = 360°
∴ 80° + 80° + 2·m∠2 = 360°
m∠2 = (360° - (80° + 80°))/2 = 100°
m∠2 = 100° = m∠3
35. The kite comprises of two half isosceles triangles
The base angles of the right half isosceles triangle = 65°
The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)
Therefore, m∠1 = 90°
The diagonals bisect the angles at the vertices (Kite theorem)
Therefore, we have;
65° + 90° + m∠2 = 180°
m∠2 = 180° - (65° + 90°) = 25°
m∠2 = 25°.
John wants to gain weight for his wrestling team so he can compete in a different weight class. He currently weighs 187 pounds, and is gaining weight at a rate of 1.5 pounds per week. Which equation below models this situation * number of weeks y = total weight (pounds )
Answer:
The equation would be 1.5w + 187 = y.
Step-by-step explanation:
1.5 lbs per week
already 187
The variable would be 'w'
so 1.5w +187 = y
A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studled: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Which of the following statements are true?
There is no mode of the group that studied.
In general, those students that studied scored much higher than those students that did not study.
The mean of the group that studied is over 15 percentage points higher than the mean of the group that did not study.
The median of the group that studied is over 95.
The median of the group that did not study is less than 80
Answer:
The median of the group that did not study is less than 80
Step-by-step explanation:
The median of the group that did not study is 79.5
7 cost? 5 cost $7.50
Answer:
10.5
Step-by-step explanation:
7.5/5=1.5
1.5x7=10.5
Answer:10.5
Step-by-step explanation
7.50 divided by 5 = 1.5
1.5 times 7 = 10.5
How many terms are in this expression? d + 8c + 7
Answer:
2
Step-by-step explanation:
Mary and Will rent a tandem bike for $10/hr. Which value is the dependent variable? Which is the independent variable
Answer:
Step-by-step explanation:
In this scenario, the dependant variable would be the total cost of the rental for the bike. This is because the actual cost depends on the number of hours that the individual has decided to rent the bike. The independant variable is the number of hours that they chose to rent the bike since it does not depend on any other factor in the scenario.
A business named Beyond Boxes is considering adding a box in the shape of a triangular prism as shown.
5 cm
4 cm
8 cm
3 cm
How much cardboard will be needed to make this design?
A. 108 cm2
B. 96 cm
C. 76 cm?
D. 102 cm
Answer:
creo que es 4cm y la otra B no se por que esta en ingles ok
highschool math pls help
Answer:
-7
Step-by-step explanation:
The probability that Jamil will be late for work is 0.2.
Work out the probability that Jamil will not be late for work.
Given:
The probability that Jamil will be late for work is 0.2.
To find:
The probability that Jamil will not be late for work.
Solution:
We have,
P(Jamil will be late) = 0.2
We know that,
P(Jamil will not be late) = 1 - P(Jamil will be late)
= 1 - 0.2
= 0.8
Therefore, the probability that Jamil will not be late for work is 0.8.
A rectangle has length of 80cm and a width 50cm. And a scale factor of 3.5 what is the area in square cm of the dilated rectangle
Answer:
49,000 square cm
Step-by-step explanation:
To get the area of the dilated rectangle, we need the dilated dimensions
We simply multiply the scale factor by the dimensions
we have this as;
3.5 * 50 = 175 cm
and
3.5 * 80 = 280 cm
The area of the dilated rectangle is thus;
280 * 175 = 49,000 cm^2
You have $350 dollars in your savings account the account pays an interest rate of 2.25% how much will you earn in interest this year?
Answer:tttaergfzgsfbvzfsbzfzbfs
The amount of interest that you earn after a year will be $7.875.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.
You have $350 in your savings account, which has a 2.25% interest rate.
Then the amount of interest that you earn after a year will be given as,
I = A - P
I = $350(1 + 0.0225) - $350
I = $350 (1.0225) - $350
I = $357.875 - $350
I = $7.875
The amount of interest that you earn after a year will be $7.875.
More about the compound interest link is given below.
https://brainly.com/question/25857212
#SPJ5
In a holiday resort, the ratio of men to women is 5:6 and the ratio of
women to children is 4:7. There are 200 men staying at the resort. How
many children are there?
Answer:
Men: 5 : 3 = 20 : 12
Women: 7 : 4 = 21 : 12
So for every 12 children there are 20 men to 21 women.
Neither men nor women compose more than half of the concert population
There are 200 men staying at the resort. Then the number of children in the resort will be 292.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
In a holiday resort, the ratio of men to women is 5:6 and the ratio of women to children is 4:7.
There are 200 men staying at the resort.
Then the number of women in the resort will be
Women / 200 = 5 / 6
Women = 500 / 3
Then the number of children in the resort will be
(500/3) / children = 4/7
children = 291.67
children ≈ 292
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Please help nobody is helping me PLEASE
Answer:
8 ft. tall
Step-by-step explanation:
the measurement of the height of the 10 and then judging by the height of the middle half is 8 ft.
18,54,162,... what is the 8th term.
Answer: 39,366
Step-by-step explanation:
a(n)= 3*a(n-1)
Therefore a(8)=3(a7)
Answer:
39366
Step-by-step explanation:
Hope this can help you.But if it's wrong,im so sorry
Have a great day
s=2πcx+3πc^2 solve for x
Answer:
x = (s - 3πc^2) / 2πc.
Step-by-step explanation:
s = 2πcx + 3πc^2
2πcx = s - 3πc^2
x = (s - 3πc^2) / 2πc.
Write down the exact value of:
a) cos 90
b) sin 90
c) tan 0
Answer:
The exact value of
cos90 is 0
sin90 is 1
tan90 is indeterminate.
Answer:
[tex] \cos(90) = 0 \\ \sin(90) = 1 \\ \tan(0) = 0[/tex]
Solve.
952448 / 112 =
Answer:
10
Step-by-step explanation:
yup that's all have sorry
Find the simple interest paid and the amount paid for the loan.
$4800 at 9.9% for 4 years
Answer:
$1900.80
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 9.9%/100 = 0.099 per year,
then, solving our equation
I = 4800 × 0.099 × 4 = 1900.8
I = $ 1,900.80
The simple interest accumulated
on a principal of $ 4,800.00
at a rate of 9.9% per year
for 4 years is $ 1,900.80.
Mandy buys 36 pens, 36 pencils, 36 rulers and 36 pencil cases.
Price list
pens
pencils
rulers
pencil cases
4 for 75p
12 for 42p
6 for £1.10
54p each
What is the total amount of money spent by Mandy?
I
Answer:
£34.05
Step-by-step explanation:
36/4=9
36/12=3
36/6=6
9x0.75=6.75
3x0.42=1.26
6x1.10=6.6
36x0.54=18.44
6.75+1.26+6.6+19.44= £34.05
SMART PPL PLEASE HELP ,Explain how you know the expression represents the area of shaded part of the rectangle.
Answer:
6(m-2)
Step-by-step explanation:
Alright. Let's start by finding the length of this shaded area. The full length of the rectangle is 'm', and the part that is not shaded has a length of '2', so if we subtract the full length and the non-shaded length, we will get the shaded part's length. This is 'm-2'. The width/height we already know...it is 6, so-
Answer is: 6(m-2)
Answer:
6(m-2)
Step-by-step explanation:
it is 6(m-2) because you would do the whole length of m minus 2.
what is the answer please help me
Leandro wants to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He
takes a random sample of 500 bulbs and finds that 25 arrived broken. He's willing to assume independence
between bulbs in the sample.
Answer:0.05+1.645v0.05(0.95)/500
Step-by-step explanation:
cual es la raiz cuadrada de 100
Answer:
10
Step-by-step explanation:
What is 4*76*4(6*4)^125
Answer: = 729600
Step-by-step explanation:
Do you need an explanation??
Solve the following equation for h. 4 = hn
Answer:
[tex]h = \frac{4}{n}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that do not contain the variable.
Hence, you get the following answer:
[tex]h = \frac{4}{n}[/tex]
Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio.
Enter your answer to 5 decimal places if necessary. Use a calculator.
-40, 20,-10, ...; 5th term
The 5th term of the sequence is
Answer: -2 1/2
Step-by-step explanation:
First term = a = -40
Common ratio = 2nd term / First term = 20 / -40 = -1/2
5th term = ar⁴
5th term = -40 × (-1/2)⁴
5th term = -40 × 1/16
5th term = -2 1/2
Can someone answer this question i am having an issue to how to figure it out
Answer:
explanation below
Step-by-step explanation:
f(x) = 3x + 2
f(8) : replace x with 8 f(8) = 3 * 8 + 2 = 26
g(x) = 5x
g(a+2) : replace x with a+2 g(a+2) = 5 (a+2) or 5a + 10
Is this a right triangle?
Answer:
Yes
Step-by-step explanation:
The equation to find it is Squareroot(a^2 +b^2)
Squareroot(6.4^2 + 12^2) = 13.6
so it is not
which of the following represents a function of protein within a organism ?
A.storing genetic information
B.storing energy
C.generating heat
D.fighting infection
Answer:
A
Step-by-step explanation: ITS RIGHTTTTTTTTTTTTTTTTT
There is a trapezoid behind the net in hockey. Use the graphic to find the area of the trapezoid.
Answer:
253 square feet
Step-by-step explanation:
1/2 × 11 ft × (28 ft + 18 ft) = 253 square feet.