Answers
Because triangles ABC and JKL are similar, sides BC and KL must be proportional. We see that triangle JKL has two congruent sides lengths opposite of the base angles, making triangle JKL Isosceles. Therefore, triangle ABC must also have two corresponding, proportional side lengths that are also congruent to each other and opposite the base angles, making triangle ABC Isosceles, too. So, side BC must also be 5, since the two sides opposite of the base angles must be congruent in an Isosceles Triangle.
Properties of Isosceles Triangles:
When the two sides opposite of the base angles are congruent in a triangle, the triangle is Isosceles, and those base angles must also be congruent.
Solving for angle measures:
We can now apply the Triangle Sum Theorem: all three interior angles in a triangle must sum up to 180.° This will allow us to solve for the measure of angle B.Let’s create an equation:
48+x+x=180
The variable “x” is used to denote an unknown angle value. Notice that there are two “x” in the equation. This is because we know these two base angles will be congruent, thus they can use the same variable.
Simplify:
48+2x=180
Solve for x:
Subtract 48 from both sides:
2x=180-48
2x=132
Divide both sides by 2:
x=132/2
x=66
Therefore, the two base angles measure 66.° One of these base angles is angle B, and because the base angles are congruent, m∠B=66.°
Related Questions
Classify by degree of polynomial:
3x3 - 6x
Answers
Answer:
3x(x2−2)
Step-by-step explanation:
51 –
6.8 + 4.3/4
-0.8
Answers
Answer:
11.325
Step-by-step explanation:
Ce clasă ești sa văd daca te pot ajuta
Find the value of x.
Answers
Answer:
89
Step-by-step explanation:
Can anybody help me with this please
Answers
C
How would yoy simplify 4(5+x)
Answers
Answer:
4x + 20
Step-by-step explanation:
4(5 + x) = 4 * 5 + 4 * x = 20 + 4x = 4x + 20
Hope this helps you out! Cya
area of a circle is 254.34 cm2. What is the diameter of the circle, use 3.14.
Answers
The area of a circle is:
Area = PI x r^2 ( r is the radius which is half the diameter)
Using the information in the problem:
254.34 = 3.14 x r^2
Divide both sides by 3.14:
81 = r^2
Take the square root of both sides:
r = 9
The diameter = 2r = 2(9) = 18 cm
The value of a house wa shilling 600,000 in 2005.It increased by 25% in 2006 and 10% in 2007 but dropped by 15% in 2007 find its value in 2008
Answers
Given:
The value of a house is 600,000 in 2005.
It increased by 25% in 2006 and 10% in 2007 but dropped by 15% in 2007.
To find:
The value of the house in 2008.
Solution:
We have,
Value of house in 2005 = 600,000
It increased by 25% in 2006.
Value of house in 2006 = [tex]600,000+\dfrac{25}{100}600,000[/tex]
= [tex]600,000+150,000[/tex]
= [tex]750,000[/tex]
It increased by 10% in 2007
Value of house in 2007 = [tex]750,000+\dfrac{10}{100}750,000[/tex]
= [tex]750,000+75,000[/tex]
= [tex]825,000[/tex]
But it dropped by 15% in 2007.
Value of house in 2008 = [tex]825,000-\dfrac{15}{100}825,000[/tex]
= [tex]825,000-123,750[/tex]
= [tex]701,250[/tex]
Therefore, the value of the house in 2008 is 701,250.
Which of the following is most likely the next step in the series ?
Answers
Answer:
b
Step-by-step explanation:
it should be red because the colour is alternative
and next we should add a horizontal line
hence b is the next step
Answer:
I'm not sure but I guess the answer is option >D
Step-by-step explanation:
Barbara is a research biologist for Green Carpet Lawns. She is studying the effects of fertilizer type, temperature at time of application, and water treatment after application. She has three fertilizer types, two temperature zones, and five water treatments to test. Determine the number of different lawn plots she needs in order to test each fertilizer type, temperature range, and water treatment configuration.
The University of Montana ski team has ten entrants in a men's downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the ten team entrants achieve first, second, and third places?
There are 15 qualified applicants for 4 trainee positions in a fast-food management program. How many different groups of trainees can be selected?
Answers
Answer:
The University of Montana ski team has ten entrants in a men's downhill ski event. The coach would like the first, second,
PLS HELP ITS URGENT!! ANSWER FOR POINTS
A random sample of 95 halogen light bulbs had a mean life of 531 hours with a standard
deviation of 33 hours. Construct a 90% confidence interval for the mean life of all light bulbs
of this type.
A) 525.4 < u <536.6
B) 515.3< u < 526.9
C) 527.2 < u <531.8
D) 523.8 < u < 529.5
Answers
and i have to write more people brainly wants me to
Which value of x, from the choices below, make the expressions x + 3 and 2x equivalent?
Answers
Answer:
x = 3
Step-by-step explanation:
Of 20 students, 9 are girls
% of girls
% of boys
Answers
Boys : 55%
Answer:
45% and 55%
Step-by-step explanation:
Total student = 20
No of Girls = 9
No of boys = Total student - No of Girls
=20-9
=11
Percentage of Girls = (No of Girls / Total student) * 100
= (9/20)*100
= 45 %
Percentage of Boys = (No of Boys/ Total student) * 100
= (11/20)*100
= 55 %
(5x³-7x²+3x-4)-(8x³+2x²+3x-7)
Answers
Answer: =−3x^3−9x^2+3
Step-by-step explanation:
Distribute the Negative Sign:
=5x^3−7x^2+3x−4+−1(8x^3+2x^2+3x−7)
=5x^3+−7x^2+3x+−4+−1(8x^3)+−1(2x^2)+−1(3x)+(−1)(−7)
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
Combine Like Terms:
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
=(5x^3+−8x^3)+(−7x^2+−2x^2)+(3x+−3x)+(−4+7)
=−3x^3+−9x^2+3
what is the equation for line b
Answers
Answer:
y=1/2x+1
Step-by-step explanation:
you can literally do rise over run to get the answer
#3Elizabeth takes her younger siblings to the fair. She spends a total of
$40. She buys 3 entrance tickets for $8.00 each, and 8 bags of popcorn.
What is the price per bag of popcorn? (type just the whole number below
Answers
Which inequality is true for r = 20?
Answers
2r=40 i this this one is the correct
help quick
Write the ratio as a fraction in lowest terms. Be sure to make necessary conversions:
12 feet to 15 inches
Answers
48/53
Steps
15 inches = 1.25 feet
Ratio = 12 : 1.25
Simplified = 9.6 : 1
9.6 + 1 = 10.6
9.6/10.6 = 48/53
Checking...
12 feet = 144 inches
Ratio = 144 : 15
144 + 15 = 159
144/159 = 48/53
Answer:
[tex] \frac{12}{15} [/tex]
Step-by-step explanation:
12:15
•=12[tex] \frac{12}{15} [/tex]The dock foreman gets to work each day at 5:30 A.M. He goes to lunch at 11:01 A.M. and gets back to work at noon. He goes home for the day at 3:20 P.M.
How many hours does the foreman work in a 5−day work week?
Answers
Answer:
The foreman works approximately 44 hours in a 5−day workweek.
Step-by-step explanation:
In one day the dock foreman works the following hours:
[tex]t = (11 h + 01 min*\frac{1 h}{60 min}) - (5 h + 30 min*\frac{1 h}{60 min}) + 15 h + 20 min*\frac{1 h}{60 min} - 12 h = 8.85 h = 8 h + 51 min[/tex]
Now, in 1 5-day work week the man works:
[tex]T = 5*t = 5*8.85 h = 44.25 h = 44 h + 15 min[/tex]
Therefore, the foreman works approximately 44 hours in a 5−day workweek.
I hope it helps you!
which number is a multiple of four first answer [a 26] [b 32] [c 14] [d 22]
Answers
Answer:
b 32
Step-by-step explanation:
8 x 4 is 32
Three shops A, B and C sold cars in January, February
and March. The total number of cars sold in this three-
Three shops A.
respectively. Both A and C sold the same number of
cars in January. The number of cars sold by A and C in
March was also the same. A sold 120 cars in February
which was half of the number of cars sold by C in
March. Both A and B sold exactly the same number of
cars in February. The ratio of the number of cars sold by
B in January and March was 1:4.
What was the ratio of the total number of cars sold in
January, February and March by the three shops?
month period by A, B and C were 460, 320 and 500
Answers
Help asap please!! I will mark brainlest and give me the work
Answers
Answer:
16 square feet
Step-by-step explanation:
Base: 2 * 2 = 4
Side: 2 * 3 / 2 = 3
4 sides = 3 * 4 = 12
Base + sides = 12 + 4 = 16
need help Math question
Answers
Answer:
n=20
Step-by-step explanation:
1/2n+6=16
1/2n=16-6
1/2n=10
n=10x2
n=20
Please help this is due today!
Use the diagram to complete the statements using correct notation. If there is not enough information to prove congruency, explain why: Example cannot be determined
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answers
Answer:
They are congruent by opposite exterior angles
RST is congruent to UVT
UV is congruent to SR
Convert the following angle from degrees to radians. Express your answer in simplest form. 210°
Answers
Answer:
Step-by-step explanation:
[tex]\frac{rad}{\theta}=\frac{\pi}{180}\\ \\ rad=\frac{\theta \pi}{180}\\ \\ rad=\frac{210\pi}{180}\\ \\ rad=\frac{7\pi}{6}[/tex]
A college newspaper interviews a psychologist about student ratings of the teaching of faculty members. The psychologist says that the evidence indicates that the correlation between the research productivity and teaching rating of faculty members is close to zero. The paper reports this as Professor McDaniel said that good researchers tend to be poor teachers, and vice versa. Which statement in plain language (i.e. without the word correlation) correctly explains the psychologist's meaning?
A)There is little connection between research productivity and teaching rating.
B) While bad researchers tend to be good teachers, there is no similar relationship between good researchers and bad teachers.
C) While good researchers tend to be bad teachers, there is no similar relationship between bad researchers and good teachers.
D) Good researchers tend to be bad teachers and bad researchers tend to be good teachers.
Answers
Answer:
The correct option is A.
Step-by-step explanation:
As the psychologist states that there is no correlation found between teaching ratings and research productivity of the same faculty member, meaning that there is no significant relationship between the two. The paper's report states quite the opposite, that there is an inverse correlation. The statement that explains what the psychologist says correctly is A. There is little connection between teaching rating and research productivity.
I hope this answer helps.
A collection agent earns a fixed amount for each call that he makes, as
shown in the graph below.
If the collection agent makes 11 calls, how much will he earn in total?
Answers
Answer:
The answer is $9.90
Step-by-step explanation:
(Total 3 marks)
10.
A plane flies 1400 kilometres in 2 hours 20 minutes.
Calculate the average speed, in km/h, of the plane.
km/h
(Total 3 marks)
Answers
Answer:
600 km/hour
Step-by-step explanation:
1400 km in 2 hrs & 20 mins (or 2.33 hours)
1400/2.33 = 600 km/hour
What is 730 divided by 30
Answers
Answer:
24 1/3
Step-by-step explanation:
long division
Pls help
Identify each angle pair as adjacent, vertical, or neither. Identify Structure Refer to the diagram at the right. Identify each angle pair as adjacent, vertical, or neither.
Answers
Answer:
angle 5 and angle 6 are adjacent angles, all adjacent means is directly next to each other, another example would be 6 and 1; 1 and 2; 2 and 3, etc
and example of vertical angles would be 6 and 3, they basically form an x, another example is 5 and 2, 1 and 4, etc
an examples of angles that would qualify as neither would be 1 and 3, they are not next to one another, thus they are not adjacent, and they do not form an x so they are not vertical, another example would be 5 and 3
using digits 3,6,1 and 5 write the greatest decimal number less than 1 that can be formed without repeating any digit. write it in words
Answers
Six tenths, five hundredths, three thousandths, one ten thousandth.