Answers
Answer:
50
Step-by-step explanation:
We know that the sum of the angles of a triangle is 180
HCA + CAH + AHB = 180
80+ CAH + 90 = 180
Combine like terms
170 + HAC = 180
HAC= 180-170
HAC = 10
We also know that HCA + ACB is a straight line so it adds to 180
HCA + ACB = 180
80+ACB = 180
ACB = 180-80
ACB = 100
Since ACB is isosceles the base angles have the same measure so CAB = ABC
We know that the sum of the angles of a triangle is 180
CAB + ABC + ACB = 180
Replacing ABC with CAB
CAB + CAB + 100 = 180
2CAB + 100 =180
2 CAB = 180-100
2 CAB = 80
Divide by 2
CAB = 80/2
CAB = 40
Now find HAB
HAB = HAC + CAB
= 10 + 40
= 50
To find: HAB=?
In Triangle HAC,
AHC=90 (given)
HCA=80 (given)
HCA+AHC+HAC=180 (ASP of a Triangle)
= 80+90+HAC=180
AHC=10
Now,
HCA+ACB=180 (Linear Pair)
= 80+ACB=180
ACB=100
In Triangle ACB,
CAB=CBA (given)
So let them both be x
= x+x+ACB=180 (ASP of triangles)
= 2x=180-100
= x=80/2
x= 40
Therefore, CAB=CBA=40
HAB=AHC+CAB
= 10+40
Thus, Angle HAB=50 degrees
Related Questions
How many solutions does the equation 3x+15=2x+10+x+5 have
Answers
Answer:12
Step-by-step explanation:
Simplifying
3x + 15 = 2x + 10 + x + 5
Reorder the terms:
15 + 3x = 2x + 10 + x + 5
Reorder the terms:
15 + 3x = 10 + 5 + 2x + x
Combine like terms: 10 + 5 = 15
15 + 3x = 15 + 2x + x
Combine like terms: 2x + x = 3x
15 + 3x = 15 + 3x
Add '-15' to each side of the equation.
15 + -15 + 3x = 15 + -15 + 3x
Combine like terms: 15 + -15 = 0
0 + 3x = 15 + -15 + 3x
3x = 15 + -15 + 3x
Combine like terms: 15 + -15 = 0
3x = 0 + 3x
3x = 3x
Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x
Combine like terms: 3x + -3x = 0
0 = 3x + -3x
Combine like terms: 3x + -3x = 0
0 = 0
Solving
0 = 0
Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
The equation 3x + 15 = 2x + 10 + x + 5 has no solutions.
What is a solution to an equation?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
3x + 15 = 2x + 10 + x + 5
We need to find the value of x that will make the equation true.
3x + 15 = 3x + 15
We have to combine like terms on one side.
3x - 3x = 15 - 15
0 = 0
This shows that the equation has no solutions.
Thus the equation 3x + 15 = 2x + 10 + x + 5 has no solutions.
Learn more about solutions of equations here:
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please help me asap
Answers
Answer:
-.51, .1/2, .42, 11/20
Answer:
-.51
-1/2
.42
11/20
if f (x) = 4x -12, find the value of x for f(x) =-16
Answers
Answer: f(x)= -76
Step-by-step explanation:
Plug the given value in where you see x
f(x) = 4(-16) - 12
f(x) = -64 - 12
f(x)= -76
Answer:
-76
Step-by-step explanation:
f(-16)=4(-16)-12
f(-16)=-64-12
f(-16)=-76
need help for geometry please
Answers
Answer:
C TSU=LMN
Step-by-step explanation:
When naming a shape with points you name from top to bottom, but since in order for it to be equal with the other triangle you'd flip it and then name it that way.
C = ΔTSU=ΔLMN
Step-by-step explanation:
They are flipped, simply look at the how many lines it has in the middle and follow them. TSU goes through 1 line, and 2 lines. LMN goes through 1 line, and 2 lines as well.
Seung and Razi are both filling party favor bags for their birthdays at a constant rate. Razi’s progress is shown in the table.
After 3 minutes Seung had 34 bags remaining to be filled, and after 4 minutes he had 31 bags remaining.
Compare Seung and Razi’s bag-filling progress.
Answers
Answer:
One less bag
Step-by-step explanation:
I just did the assignment
Answer:
one less bag
Step-by-step explanation:
Consider the diagram below.
Answers
Answer:
<a = 61
<b + <c = 90
Simplify 7(x + 3). what is the answer
Answers
Answer: x = ( -3)
Step-by-step explanation:
7 ( x+3 ) = 7x + 21
7x = -21
7x ÷ 7 = -21÷7
X = ( -3)
What is the solution to the following equation? (4 points)
5(2x − 6) + 20 = 10
9
5
3
2
Answers
Answer:
2
explanation:
5(2(2)-6)+20=10
5(4-6)+20=10
5(-2)+20=10
-10+20=10
10=10
PLEASE HELP RN!!!! 15 POINTS I NEED ANSWERS
Given: m_Am_B=mZB+m2C
Prove: m_C=m_A
Write a paragraph proof to prove the statement
Answers
Answer:
We are given that the sum of the measures of angles A and B is equal to the sum of the measures of angles B and C. The measure of angle B is equal to itself by the reflexive property, so you can subtract that measure from both sides of the equation. Now the measure of angle A equals the measure of angle C. By the symmetric property, this means the measure of angle C equals the measure of angle A.
Step-by-step explanation:
Thats the exact answer.
Which expression represents x^2+8x+16?
Answers
Answer: C
Step-by-step explanation:
To factor a trinomial, you need to multiply 'a' and 'c' and see what two number add to equal 'b' but also multiply to equal the product of 'a' and 'c'.
So, what two numbers multiply to equal 16 but simultaneously add to equal 8?
That is +4 and +4. Instead of writing (x+4)(x+4), you can write (x+4)^2, or answer C.
PLEASE HELP!!!!
Use the table below to match the slopes to the lines.
Answers
Answer: Check out the filled out chart below.
Row 1: 1/4, 1/4, -4
Row 2: -2, -2, 1/2
Row 3: 3, 3, -1/3
=========================================
Explanation:
Parallel lines have equal slopes. So if the original line has slope 1/4, then any parallel line will also have slope 1/4. The only thing different is the y intercept.
Perpendicular slopes multiply to -1 assuming neither line is vertical. For row 1, the perpendicular slope is -4 which multiplies with the original slope 1/4 to get -1.
Put another way, the perpendicular slope is the negative reciprocal of the original slope. For row 2, the perpendicular slope is 1/2 because we flip the fraction and the sign for the original slope -2 = -2/1
Joni has a box that has a mass of 67 dekagrams. She converts this to centigrams. Her work is shown below. 67 dekagrams over 1,000 = 0.067 centigrams Which statement explains Joni’s error? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 Joni should have multiplied by 10,000. Joni should have multiplied by 1,000. Joni should have divided by 100. Joni should have divided by 10,000.
Answers
Answer: I think it’s B
Step-by-step explanation:
Answer:
answer b
Step-by-step explanation:
How many terms are in the algebraic expression "962 +6"?
Answers
Answer: There are 4 terms in the Algebraic expression.
One hundred clothing stores go out of business. This will
the supply of clothes at each price level.
A. increase
B. decrease
Answers
Answer:
A increase, because less stores means more people going to the other ones, which means more money for the owners, which means if they raise the proces, people still need cloths sothey will still buy
Step-by-step explanation:
Evaluate each expression.
|10|
|-7| - 5
1 + |7|
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
|10| = 10
|-7| - 5 = 2
1 + |7| = 8
Jolie has just purchased a new purse in the shape of a rectangular prism to match her favorite shoes. The purse has a length of 14 centimeters, a width of 5 centimeters, and a height of 8 centimeters. What is the volume of the purse?
Answers
Answer:
560 centimeters³
Step-by-step explanation:
volume formula is length x width x height so when you plug in the numbers
14 x 5 x 8= 560
the numbers below show a pattern 0.006 0.6 6
Answers
Answer:
Yes
Step-by-step explanation:
The decimal points moves to the right at a constant pace.
0.006 -> 0.06 -> 0.6 -> 6
In other words, we are just multiplying each one by 10 to get the next value.
Best of Luck!
Which expression represents the distance between 1.8 and 9.4 on the number line?
Answers
Answer:
the distance between 1.8 & 9.4=9.2
In 1 hr, a plane can travel 390 mi into the wind and 470 mi with the wind. Find the wind speed and the rate of the plane in still air.
The wind speed is mph.
The rate of the plane in still air
mph
Answers
Let w be the wind speed and p the plane's speed in still air.
Flying against the wind, the plane has velocity
p - w = 390 mi/h
and flying with it, it has
p + w = 470 mi/h
Add the two equations together to eliminate w and solve for p :
(p - w) + (p + w) = 390 mi/h + 470 mi/h
2p = 860 mi/h
p = 430 mi/h
Subtract them to eliminate p and solve for w :
(p - w) - (p + w) = 390 mi/h - 470 mi/h
-2w = -80 mi/h
w = 40 mi/h
Order the numbers from least to greatest.
-3/4
0.5
2/3
-7/3
1.2
Answers
1. -3/4
2. -7/3
3. 0.5
4. 1.2
5. 2/3
Andres works 20 hours per week at a part-time job. His original pay rate was $10.00 per hour, but he recently received a pay raise of x dollars per hour. His new total weekly pay, y, is represented by the equation y=20(10+x).
If Andres earned $210 last week, what was the amount of Andres' raise per hour?
i need work shown pls
Answers
Answer:10 + 10 so y would equal 10
Step-by-step explanation:
.
Assume a normal distribution and that the average phone call in a certain town lasted 7 min, with a standard deviation of 1 min. What percentage of the calls lasted less than 6 min?
Answers
Answer:
16%
Step-by-step explanation:
First, find the z-score.
z = (x − μ) / σ
z = (6 − 7) / 1
z = -1
Use a chart, a calculator, or the empirical rule to find the probability.
Using the empirical rule:
P(Z < -1) = 0.5 − 0.34
P(Z < -1) = 0.16
The percentage is 16%
How do I calculate a percentage between two numbers?To calculate the share between two numbers, divide one variety by way of the opposite and multiply the end result by way of one hundred, e.g. (30 / 75) * 100. This indicates what percent the first number is of the second one, in the example - 30 is 40% of 75.
In mathematics, a percent is more than a few or a ratio expressed as a fragment of 100. It is regularly denoted using the percentage signal, "%", although the abbreviations "pct.", "pct" and from time to time "pc" also are used. A percentage is a dimensionless number; it has no unit of size.
First, discover the z-rating.
z = (x − μ) / σ
z = (6 − 7) / 1
z = -1
Use a chart, a calculator, or the empirical rule to discover the chance.
using the empirical rule:
P(Z < -1) = 0.5 − zero.34
P(Z < -1) = 0.16
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Square WXYZ dilates by a factor of 1/3 with respect to the origin to create W'X'Y'Z'. If W'X' is 6 units, what is WX? *
Answers
Answer:
well you should firstcalculate the distance then divide by the primary source and you should be able to get the answer after substituting
Step-by-step explanation:
Find the area and the circumference of a circle with diameter 4 yd.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
C≈12.57 yd
A≈12.57 yd²
PLS ANSWER ASAPPPPPPPPPPPPPP
Answers
Answer:
5/14
Step-by-step explanation:
(5/4)(7/2)
Multiply the numerators with the denominators.
5*2=10
4*7=28
10/28 = 5/14
Evaluate each function.
g(n) = 3n + 3; Find g(-3)
Answers
Answer:
g(-3) = - 6Step-by-step explanation:
g(n) = 3n + 3
To find g(-3) , substitute the value of n that's - 3 into g(n). That is for every n in g(n) replace it with - 3
We have
g(-3) = 3(-3) + 3
= - 9 + 3
We have the final answer as
g(-3) = - 6Hope this helps you
Solve -3.5 = for x using the multiplication property of equality. The operation in the problem is eration is Addition Subtraction Multiplication Division
Answers
The answer is the Division on the top The multiplication then -14
Step-by-step explanation: I hope this will help you
find the value of x.
Answers
Answer:
x = 8
Step-by-step explanation:
Answer:
so it would be 90 degrees + 40 degrees = 130
We still need 50 more + 2
48/6 = 8
x = 8 because 48+2 = 50 or 6x + 2
Step-by-step explanation:
What number is bigger 3/4 or 0.75
Answers
Answer:
they are the same.
Step-by-step explanation:
Answer:
they are equal
Step-by-step explanation:
3/4 is the same thing as 0.75
One month also rented 5 movies and 3 video games for a total of $31 the next month he rented 7 movies and 9 video games for a total of $71 find the rental cost for each movie and each video game
Answers
Answer:
V = 5.75, M = 0.45
Step-by-step explanation:
5M + 3V = 31
7M + 9V = 71
5M = 31 - 3V
M = (31 - 3V) / 5
7((31 - 3V) / 5) + 9V = 71
(217 - 21V)/5 + 9V = 71
43.4 - 4.2V + 9V = 71
4.8V = 27.6
V = 5.75
5M + 3(5.75) = 31
5M = 2.25
M = 0.45
