The Isosceles Trapezoid is part of an Isosceles triange with a 32° vertex angle. What is the measure of an acute base angle of the trapezoid?
Answers
Answer:
[tex]b = 74^o[/tex] --- acute base
Step-by-step explanation:
Given
See attachment for the figure
Required
The acute base angle of the trapezoid
From the question, the isosceles triangle and the trapezoid share the same base.
Represent the base angle with b.
So:
[tex]b + b + 32^o = 180^o[/tex] --- angles in a triangle
[tex]2b = 180^o-32^o[/tex]
[tex]2b = 148^o[/tex]
Divide by 2
[tex]b = 74^o[/tex]
Related Questions
A personnel officer in a governmental agency administered four newly de- veloped aptitude tests to each of 25 applicants for entry-level clerical positions in the agency. For purpose of the study, all 25 applicants were accepted for positions irrespective of their test scores. After a probationary period, each applicant was rated for proficiency on the job. The scores on the four tests (Xi, X2. Xs, X4) and the job proficiency score (Y) for the 25 employees were as follows:
Subject Test Score Job Proficiency
Y
88
80
96
76
80
73
58
116
104
99
64
126
94
71
111
109
100
127
99
82
67
109
78
115
83 X1
86
62
110
101
100
78
120
105
112
120
87
133
140
84
106
109
104
150
98
120
74
96
104
94
91 X2
110
97
107
117
101
85
77
122
119
89
81
120
121
113
102
129
83
118
125
94
121
114
73
121
129 X3
100
99
103
93
95
95
80
116
106
105
90
113
96
98
109
102
100
107
108
95
91
114
93
115
97 X4
87
100
103
95
88
84
74
102
105
97
88
108
89
78
109
108
102
110
95
90
85
103
80
104
83
Answers
Answer:
Following are the solution to these question:
Step-by-step explanation:
Please find the complete question in the attached file.[tex]\text{Stem and leaf plot}\\\\\text{Stem-and-Leaf Display:}\ \ x_1\\\\\text{Stem-and-leaf of} \ \ x_1 \ N = 25\\\\[/tex]
[tex]1 6 2\\3 7 4 8\\6 8 4 6 7\\10 9 1 4 6 8\\(7) 10 0 1 4 4 5 6 9\\8 11 0 2\\6 12 0 0 0\\3 13 3\\2 14 0\\1 15 0\\[/tex]
[tex]\text{Stem-and-Leaf Display:}\ \ x_2\\\\\text{Stem-and-leaf of} \ \ x_2 \ N = 25\\\\[/tex]
[tex]1 7 3\\2 7 7\\4 8 1 3\\6 8 5 9\\7 9 4\\8 9 7\\10 10 1 2\\11 10 7\\(3) 11 0 3 4\\11 11 7 8 9\\8 12 0 1 1 1 2\\3 12 5 9 9\\[/tex]
[tex]\text{Stem-and-leaf of} \ \ x_3 \ N = 25[/tex]
[tex]1 8 01 85 9 0 1 3 312 9 5 5 5 6 7 8 9(4) 10 0 0 2 39 10 5 6 7 8 94 11 3 42 11 5 6[/tex]
[tex]\text{Stem-and-leaf of} \ \ x_4 \ N = 25[/tex]
[tex]1 7 42 7 85 8 0 3 410 8 5 7 8 8 911 9 0(3) 9 5 5 711 10 0 2 2 3 3 45 10 5 8 8 91 11 0[/tex]
Please Help me! I am giving 100 Points!
This is BEDMAS. B= BRACKETS E= EXPONENTS D= DIVIDE M=MULTIPLY A= ADD S= SUBTRACT. Do them in order.
1=
Answers
Answer:
Step-by-step explanation:
3) (15/3)^2+14+6+3^2
=5^2+14+6+3^2
=25+14+6+3^2
=25+20+3^2
=25+20+9
=25+29
=54
Answer:
3. 54
4. -524
5. 59
8. 60
9. 78
10. 61
Step-by-step explanation:
3. (15 / 3)^2 + ((14 + 6) + 3^2)
(5)^2 + ((20) + 9)
25 + 29 = 54
4. ((11 + 2) - (24 / 2)^2) x 2^2
((13) - (12)^2) x 4
(13 - 144) x 4
-131 x 4 = -524
5. ((4 + 3)^2 + 6) - 5 + 3^2
(7^2 + 6) - 5 + 9
(49 + 6) - 5 + 9
55 - 5 + 9
50 + 9 = 59
8. (6^2 + (24 / 3 + 5^2)) - 3^2
(36 + (8 + 25)) - 9
(36 + 33) - 9
69 - 9 = 60
9. ((10 - 4)^2 x 2) + 2 + 2^2
(6^2 x 2) + 2 + 4
(36 x 2) + 2 + 4
72 + 2 + 4 = 78
10. (7^2 + (16 / 8 + 2^2)) + 3^2
(49 + (2 + 4)) + 9
(49 + 6) + 9
55 + 9 = 61
The flags are all the same size and are space equally along the line. Calculate the length of the sides of each flag, and the space between flags by making a system of equations and solving that system..
Answers
Answer:
Step-by-step explanation:
Let the space between flags be "x" and the flag's side is "y"
2x + 3y = 80 ║ × ( - 2 )
5x + 6y = 170
- 4x - 6y = - 160 ..... ( 1 )
5x + 6y = 170 ..... ( 2 )
( 1 ) + ( 2 )
x = 10
2(10) + 3y = 80
y = 20
The space between flags is 10 cm
The flag's sides are the same size and is 20 cm
For students who first enrolled in a two year public institution in 2013, the proportion who earned a bachelor's degree in six years was 0.236. The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.
(a) Determine the null and alternative hypotheses.
(b) Explain what it would mean to make a Type I error.
(c) Explain what it would mean to make a Type II error.
Answers
Answer:
H0 : p = 0.236
H1 : p > 0.236
Type 1 error is committed by incorrectly rejecting a true null hypothesis
Type 11 error is committed by incorrectly accepting a false null
Step-by-step explanation:
The null and alternative hypothesis :
H0 : p = 0.236
H1 : p > 0.236
A type 1 error is made when a null hypothesis is incorrectly rejected, Hence in this scenario, a type 1 error will be committed of we conclude that the proportion who earned bachelor's degree is more Than 0.236 when the actual proportion not more than but equal to 0.236
A type 11 error is committed when we fail to reject a false null hypothesis. This means that if the actual proportion who earned a bachelor's degree is more than 0.236 and we fail to reject the null which says the proportion is not more than 0.236
2 +2 pls give me the answer
Answers
Answer:
4
Step-by-step explanation:
2+2=4
I really don't understand i need help asap. They were asking to find f(-8)
Answers
Answer:
i dont get it either
Step-by-step explanation:
Find the Area Please!
Answers
Surface area: 105.97
Base area: 36
Hope it helps...
Why is triangle called an obtuse triangle?
a. It has zero obtuse angles
b. It has 2 obtuse angles
c. It has 1 obtuse angle
d. It has 3 obtuse angles
Which is NOT a polygon?
a. A break
b. A donut
c. A window
d. A stop sign
What do you call a polygon with equal side lengths and angle measures?
a. Vertex
b. Nonconvex
c. Irregular polygon
d. Regular polygon
Tell whether the figure at the right is a polygon. If it is, name it by the number of sides.
a. Not a polygon
b. Polygon - hexagon
c. Polygon - pentagon
d. Polygon - convex
If all the sides and angles in a parallelogram are equal then, which shape is it?
a. Rectangle
b. Triangle
c. Square
d. Rhombus
What do you call a polygon that is both equilateral and equiangular?
a. Segment
b. Irregular polygon
c. Regular polygon
d. Vertices
Which is not represented by the figure shown below?
a. Polygon
b. Parallelogram
c. Quadrilateral
d. Rectangle
How many diagonals must pass outside the figure to classify a polygon as nonconvex?
a. Zero
b. At least one
c. At least two
d. All of them
Which best describes the polygon below?
a. A regular hexagon
b. A convex hexagon
c. An arrow
d. A nonconvex hexagon
Tell whether the figure below is a polygon. If it is, name it by the number of sides.
a. Not a polygon
b. Polygon - octagon
c. Polygon - hexagon
d. Polygon - nonconvex
Answers
Answer:
An obtuse angle is an angle that measures
more than 90 degrees and less than 180
degrees.
Answer:
answers in explanation...
Step-by-step explanation:
1. is C it has 1 obtuse angle
2. b. a donut is not a polygon. ( bricks,windows,and stop signs are polygons)
3. d. a regular polygon.
4. ( i cannot do without the image)
5. a. rectangle
6.c. a regular polgony
7.(cannot do without image)
8.b. at least one
9.(cannot do without image)
10. ( cannot do wihtout image)
Hi I needed help with my math homework. can you please help :| .....
Question: c - 1.3 = 6
Answers
Answer:
7.3
Step-by-step explanation:
c- 1.3 = 6
c = 6 + 1.3
c = 7.3
nay it helped u
Help me out plssssss and thanks !!!!!!!
Answers
Answer:
arc AB = 142
Step-by-step explanation:
The angle of AB is 180 -38 = 142
The arc is the same measure since the angle is a central angle
arc AB = 142
what is the most $ that you can get out of a ATM?
Answers
Answer:
$200
Step-by-step explanation:
Answer:
I think it is 200$
Step-by-step explanation:
point and slope of the equation y - 8 = 4(x + 3)?
Answers
Slope : 4
Y-intercept : (0,20)
Hope this helps !
Have a great day :)
The slope and point of y-intercept is;
Slope = 4
Point of intercept = (0, 20)
We are given the equation;
y - 8 = 4(x + 3)
Now, the slope intercept form of the equation of a line is;
y = mx + c
where;
m is slope
c is y-intercept
x is value on the x-axis
y is value on the y-axis
Let us simplify our equation to the slope-intercept form;
y - 8 = 4(x + 3)
Expanding the bracket using distributive property gives;
y - 8 = 4x + 12
Using addition property of equality gives;
y - 8 + 8 = 4x + 12 + 8
y = 4x + 20
Comparing our result with y = mx + c,
m = 4 and c = 20
c is y-intercept which is value of y when x = 0.
Thus, intercept point is (0, 20)
Read more at; https://brainly.com/question/20365390
Set up an algebraic equation that could represent the following situation:
Nkateko sells bananas at the low but fixed price of R3/kg. In order to ensure that she makes a reasonable profit, she adds a certain fixed amount of money to any quantity of bananas purchased. A customer who bought 4 kg of bananas was observed paying R14.
Answers
Answer:
The profit for any purchased of bananas is R2.
Step-by-step explanation:
Cost of 1 kg banana = R 3
Banana purchased = 4 kg
So, the cost of 4 kg bananas = 4 x 3 = R 12
Amount paid = R 14
Profit = R 14 - R 12 = R 2
So, the profit on any purchased of bananas is R 2.
how do you find the rate of change for a function over a given interval
Answers
Step-by-step explanation:
Differentiate it. You will be given a value of x. Substitute into the differentiated equation use the formula for rate of change. You will find the answerFormula:
[tex]\frac{\alpha y}{\alpha x} =\frac{dy}{dx }[/tex]
Determine the values of x where the function f(x) is not continuous.
{1/3x + 5 x<= 3
x+ 2 x >3
Answers
Answer:
13x=5
Step-by-step explanation:
sus 20 crequired udbshs
Solve the system algebraically. Check your work. 5x + 2y = 10 3x + 2y = 6 ANSWER: {( D]
Answers
Answer:
x=2, y=0
Step-by-step explanation:
[tex]5x + 2y = 10\\3x + 2y = 6 \\5x-3x+2y-2y=10-6\\2x=4\\x=2\\3(2)+2y=6\\2y=6-6=0\\y=0[/tex]
How many vertices dose the following shape have?
Answers
Answer:
If you have more than one vertex they are called vertices. You can also count the number of vertices in order to identify solid figures. Let's look at an example. When you count the number of vertices in the figure above you see there are 7 vertices.
What is the 11th term of the sequence 7, -21, 63
Answers
Answer: 413343
Step-by-step explanation:
This is a geometric progression. First and foremost, we've to find the common ratio which will be:
= 2nd term / 1st term
= -21/7
= -3
The formula to find the 11th term will be:
= ar^n-1
where,
a = first term = 7
r = common ratio = -3
n = number of terms = 11
Therefore, ar^n-1 = 7 × -3^11-1
= 7 × -3^10
= 7 × 59,049
= 413343
Therefore, the 11th term of the sequence is 413343.
Determine the domain of the following relation:
{(1, -1), (2,5),(4, 10), (9,23), (12,33), (4, 10)}
Answers
hope this helps
HELP PLEASE ... For questions 10 - 11, use the table to answer the questions. It is set up to multiply
two polynomials.
x3
- 2x2
5
3x
8
10. What is the coefficient of the x3-term
of the product?
11. What is the coefficient of the x2-term
of the product?
Answers
Answer:
Step-by-step explanation:
10. [tex]8x^{3} - 6x^{3}[/tex]
[tex]2x^{3}[/tex]
coeff= 2
11. [tex]-16x^{2}[/tex]
coeff= -16
Please help me with this problem
Question: 5d - 6 + 8 -3d = 12
Answers
Answer:
d=5
Step-by-step explanation:
Answer:
d=5
Step-by-step explanation:combine like terms and subtract numbers from left side.
a Dhruv sold one second-hand car for 1,10,500 and two second-hand scooters for 7,500 each.
Answers
Answer:i actually dunno
Step-by-step explanation:
wat
Help pleaseeeee will give brainliest
Answers
Answer:
q.12
angle ACB=180-123
therefore ACB=57
again 5x-15+7x+6+57=180
or,12x+48=180
or,x=132/12
or x=11
A right triangle ABC is shown below:
The are of the triangle above will equal one-half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8) (1 point)
Answers
Find the volume of the figure shown below.
A)14 units^3
B)9 units^3
C)None of these answers
D)There’s not enough info
E)24 units^3
Answers
Answer:
E. 24 units³
Step-by-step explanation:
the volume = 4×3×2 = 24
A sum of money is divided in the ratio 3:5:9.calculate the smallest share given the largest share is 108
Answers
Answer:
36
Step-by-step explanation:
largest share = 9parts = 108
1 part = 108÷9 = 12
smallest share = 3parts = 12×3 = 36
How does the mean absolute deviation (MAD) of the data in set 2 compare to the mean absolute deviation of the data in set 1?
Set 1: 16, 15, 10, 12
Set 2: 16, 62, 15, 10, 12
The MAD of set 2 is 10 less than the MAD of set 1.
The MAD of set 2 is 13.35 more than the MAD of set 1.
The MAD of set 2 is 10 more than the MAD of set 1.
The MAD of set 2 is 13.35 less than the MAD of set 1.
Answers
Answer: B, That the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.
Step-by-step explanation:
Answer:
the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.
Step-by-step explanation:
the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.
How many 3 digits positive integers exist that when divided by 7 leave a remainder of 0
Answers
Answer:
128 numbers are divisible by 7 that leave remainder 0
Answer:
128
Step-by-step explanation:
Let's find the first 3 digit number divisible by 7.
7(12)=84
7(13)=91
7(14)=98
7(15)=105
So our first 3 digit number divisible by 7 is 105.
Let's figure out the last 3 digit number divisible by 7.
7(200)=1400
Skip a lot
7(150)=1050
Skip a little more
7(140)=980
Skipped too much
7(145)=1015
7(144)=1008
7(143)=1001
7(142)=994
So there are 142-15+1 multiples of 7 that are 3 digits long.
142-15+1
142-14
128
Write the slope-intercept form of the equation of the line through the point (-1,-4) with the slope of 6.
Answers
Answer:
y-y1=m(x-x1)
y+4=6(x+1)
y=6x+2
What is £8.19 minus 10%
Answers
Answer:
7.391
Step-by-step explanation:
Find 10% of 8.19
8.19*10%
8.19 *.10
.819
Subtract this from 8.19
8.19-.819
7.391