Answers
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.
Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.
Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.
Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.
m<BAC + m<B + m<BCA = 180
32 + m<B + 41 = 180
m<B + 73 = 180
m<B = 107
Related Questions
How much is 2.1x 82
Answers
172.2
I hope this answer was helpful! :)
172.2 is your answer
hope this helps
Eduardo counted 10 seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. If he counted four seconds between the next flash of lightning and hearing thunder, about how far away was the lightning
Answers
Eduardo used the time difference between seeing lightning and hearing thunder to determine the distance of the lightning. Given that sound travels a mile every five seconds, the second lightning was 0.8 miles away, based on a time difference of 4 seconds.
Explanation:Eduardo is using a method to measure the distance of lightning by noting the time difference between the visible flash of light and the audible sound of thunder. The speed of light is much faster than the speed of sound, which is why we see lightning before we hear thunder. This method works because it is known that sound travels approximately one mile every five seconds.
So, in Eduardo's first observation, he counted 10 seconds between seeing the lightning and hearing thunder. Given that sound travels a mile every five seconds, the lightning was 10 seconds/5 = 2 miles away.
In the second observation, he counted four seconds between the flash and the thunder. Using the same calculation, this means the lightning was 4 seconds/5 = .8 miles away. This is in agreement with the given information.
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I need help on this problem
Answers
3x°+46°+(2x-1°)=180°(angle sum of △)
5x+45=180°
5x=180°-45
x=135÷5
x=27
x is 27
put x into angle B,we have
2(27)-1
=53
thus angleB is 53°
hope it helps c:
With that knowledge, we can set up an equation that lets us solve for x based on our given angles by setting their sum equal to 180.
[tex]3x+(2x-1)+46=180\\5x+45=180\\5x=135\\x=27[/tex]
To find ∠B, we simply substitute the x for 27:
[tex]2x-1=2(27)-1=54-1=53[/tex]
So, m∠B = 53°.
Subtract using the number line.
−113−16
−1 5/6
−1 1/2
−1 1/6
1 1/2
Answers
The value of -1 1/3 - 1/6 is -1 1/2.
Option B is our correct answer.
Given,
-1 1/3 - 1/6
We need to find the value.
What is a fraction?A fraction contains two parts:
Numerator and denominator.
Fraction = Numerator / Denominator
How do subtract fractions?Example:
2/3 - 2/4
We will find the LCM of 3 and 4.
= (2x4 - 2x3) / 12
= (8 - 6) / 12
= 2 / 12
= 1/6
How to convert a fraction into a mixed fraction?Example:
b/a
a x m + n = b
= [tex]m\frac{n}{a}[/tex]
Find -1 1/3 - 1/6
We can write -1 1/3 as:
= - 4/3
Now,
-4/3 - 1/6
=( -4x2 - 1) / 6
= (-8 - 1 ) / 6
= -9 / 6
= -3x3 / 3x2
= -3/2
Converting into a mixed fraction.
= -1 [tex]\frac{1}{2}[/tex]
Thus the value of -1 1/3 - 1/6 is -1 1/2.
Option B is our correct answer.
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compare 249 and 271. write the greater number in word form
Answers
Answer:
two hundred seventy-one
Step-by-step explanation:
Given: Two numbers 249 and 271.
To find: Word form of the greater number.
Solution:
We have two numbers 249 and 271.
To find the greater number, we need to compare the two numbers.
To compare the two numbers first of all we will compare the hundreds digit.
The hundreds digit of both the numbers is same that is 2.
Now, we will compare the tens digit of the two numbers.
The tens digit of the number 249 is 4 and the tens digit of the number 271 is 7.
As 7 is greater than 4.
271 is greater than 249.
Now, the word form of 271 is two hundred seventy-one.
30. The perimeter of a rectangle is 292 feet. The length of the rectangle is 4 feet less than 5 times the width. What is the length and width of the rectangle? a. length = 121, width = 25b. length = 114.3, width = 23.7 c. length = 25, width = 121d. length = 121.7, width = 24.3
Answers
P = 292
L = 5W - 4
292 = 2(5W - 4 + W)
292 = 2(6W - 4)
292 = 12W - 8
292 + 8 = 12W
300 = 12W
300/12 = W
25 = W <=== width is 25 ft
L = 5W - 4
L = 5(25) - 4
L = 125 - 4
L = 121 <=== length is 121 ft
math question down below
Answers
multiply what you get ($18.75) by 7 (week) and get $131.25 or 0.05
josie has $47 left on her checking account.If she writes a check for $55 ,what will josies balance be?
Answers
She then writes a check for $55 and give it away.
47-55=-8.
Her balance will be $-8
Starting at 1:00 p.m., the temperature changes −4 degrees Fahrenheit per hour. It is 35°F at 1:00 p.m.. Write and solve an equation to find how many hours x it will take to reach −1°F.
An equation is
It will take _ hours to reach −1°F.
Answers
To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. The equation is 35 - 4x = -1. Solving for x, we find that it will take 9 hours to reach -1°F.
Explanation:To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. Let x represent the number of hours it takes.
The initial temperature is 35°F at 1:00 p.m. If the temperature changes -4 degrees per hour, then the equation can be written as: 35 - 4x = -1.
To solve the equation, we can first subtract 35 from both sides to isolate -4x. This gives us: -4x = -36.Next, we can divide both sides of the equation by -4 to solve for x. This gives us: x = -36 / -4 = 9.So, it will take 9 hours to reach -1°F starting from 1:00 p.m.
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jim is at his house, and his car has 25 miles until it runs out of gas. would jim be able to make it from his house to the grocery store and back without stopping for gas? explain.
Answers
Answer:
No
Step-by-step explanation:
It would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
a² + b² = c²
5² + 12² =
√169
c = 13
13 + 13 = 26 , He will not make it to to and back.
(I have this question as well so I already have the coordinate plane)
Jim would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that jim is at his house, and his car has 25 miles until it runs out of gas.
We need to check whether jim be able to make it from his house to the grocery store and back without stopping for gas.
This we can find by using Pythagoras theorem.
a² + b² = c²
5² + 12² =√169
c = 13
13 + 13 = 26 ,
Hence, It would take 13 Miles to go to the store and 13 to go back. He only has 25 Miles so he would go over by 1.
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The Weight of water is 62 1/2 lb per cubic foot how many cubic feet would be occupied by 235 lb of water
Answers
Hope this helps.
Sara watched the pump at the gas station dispense gas at a rate of ½ gallon every 3 ¼ seconds. How long will it take, in seconds, to put 50 gallons of gas in the RV? Justify your reasoning by using the UNIT RATE
Answers
Which is the most accurate way to estimate 25% of 69?
Answers
9.086 minus 2.419 rounded to the nearest one
Answers
- 2.419=6.665
Rounded would be 7
A computer programmer charges $45 an hour for coding projects plus a start up fee of $150.
Write an equation in standard form to represent the total cost t of a project that takes h hours.
Answers
Sine 150 is a one-time fee and the 45, you are paying for each hour.
An equation in standard form is C(t) = 150 + 45t
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here, A computer programmer charges $45 an hour for coding projects plus a start-up fee of $150. Let t be the time in hours then we can construct an equation as C(t) = 150 + 45t
Hence, An equation in standard form representing the information is C(t) = 150 + 45t
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A triangle has an area of 10.5 square feet. The base of the triangle is 6 feet. What is the height?
Answers
Let's put what we know in an equation. We know that B X H / 2 = the area of a triangle.
6 X H (height) / 2 = 10.5 Sq. Ft.
If you want to find the height, let's solve for H. I think we should combine 6 and H together, and that would simplify to 6h / 2 = 10.5.
Now to get 6h by itself, let's multiply by 2 to each side. It would then look like: 6h = 21. To finally get "h" by itself, we need to divide h by 6 to each sides. After you do that, the answer simplified is: h = 3.5.
To make sure my answer is correct, let's plug in the height with the base, if it equals 10.5.
6 X 3.5 / 2 = 10.5
(6 X 3.5 ) / 2 = 10.5
(21) / 2 = 10.5
10.5 = 10.5
My answer is correct, since each side equals the same. Hope this isn't too confusing, hope this helps! =)
Answer:3.5
Step-by-step explanation:
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $192 in interest after 2 years. How much money should he deposit? A. $600 B. $60 C. $6,000 D. $3,072
Answers
Answer:
C. $6,000
Sorry this is late, this is 7th grade work and I wasn't in 7th till this year
Yeah welcome to 2020
What is the equation of this graphed line?
Answers
y= 6x+7
I think this is it.
y = mx + b
...where b represents the y-intercept and m represents the slope
In this problem, the y-intercept is 7 because you can see that the line intersects the y-axis at the coordinate (0, 7).
The slope is negative because the line is going down when being read from left to right. Two ways you can find the slope of the line is by calculating the rise/run of the line (how many units the line goes up/down by how many units the line goes to the right).
You can also find the slope using the equation :
m = y2 - y1 / x2 - x1
Substitute the coordinates (the order doesn't matter as long as the coordinates correspond).
m = -2 - 7 / 8 - 0
m = -9 / 8
The slope is -9/8.
Combine the information you now know into the line's equation.
Solution: y = - 9/8x + 7
Is this a lCM or GCF
Answers
Answer:
This is greatest common factor.
Step-by-step explanation:
It said,”What is the greatest number of baskets?
I need to know what the term 8 means or represents in this expression
Answers
3x+8
Step 1: Subtract 8 from both sides.
3x+8−8=0−8
3x=−8
Step 2: Divide both sides by 3.
3x3=−83
x=−83
Answer:
x=−83
A 6-pack carton of sport drink bottles at the local grocery store is labeled as 13.48 oz. What is the weight of the carton rounded to the nearest tenth of an ounce?
A. 13.0 oz.
B. 13.2 oz.
C. 13.5 oz.
D. 14.0 oz.
Answers
Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen. Which equivalent number(s) does this represent?
Select all that apply.
18 × 104
-0.00018
0.00018
1800
1.8 × 10-4
WILL MARK BEST ANSWER!
Answers
Answer:
0.00018 and 1.8 × 10-4
Step-by-step explanation:
Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen.
1.8E^-4 means there are 3 zeroes after decimal then 18. When a value is very less than zero then the calculator shows that in E form. When we move the decimal to the left, it adds 1 to our exponent.
So, the correct answers are :
0.00018 and 1.8 × 10-4
1.8 × 10-4 = [tex]\frac{1.8}{10000}= 0.00018[/tex]
A pair of shoes weighs 650 grams.How many decigrams does it weigh?
Answers
That means that 650 * 10= 6500
Hope this helps!
The Pythagorean Sea, in Southern Antarctica has a depth that varies quadratically with its width. The width of the sea is 1000 meters. Two hundred meters from shore, the depth is 20 meters. Find the particular quadratic equation for the sea. Compute the depth of the deepest portion of the sea.
Answers
which of the following cannot be classified as a substance a. table salt b. air c. nitrogen d. gold
Answers
Among the options given, air cannot be classified as a substance because it is a mixture of gases with variable composition, unlike table salt, nitrogen, and gold, which have constant compositions and are either elements or compounds.
Explanation:The question is asking which of the following cannot be classified as a substance: a) table salt, b) air, c) nitrogen, or d) gold. To answer this, we need to understand what a substance is. A substance is a form of matter with a constant chemical composition and characteristic properties. It can be an element or a compound, but not a homogeneous or heterogeneous mixture. Among the options given:
Table salt (sodium chloride) is a compound, thus it is a substance.Nitrogen is an element, making it a substance as well.Gold is also an element, so it is a substance.Air, however, is a mixture of many gases, primarily nitrogen, oxygen, and other trace gases, and therefore cannot be considered a substance since its composition can vary.Based on these classifications, air is the one that cannot be classified as a substance.
1.1 1 1/10 and 1.101 least to greatest
Answers
Hope this helps.
Are θ = πn and θ= π+ πn equivalent?
Answers
One has an extra π in the equation.
How do the values of the digit 2 in the number 222.222 change for each place value
Answers
7/9 has how many 1/3's in it? How do you solve this ? Thanks
Answers
To solve this problem, you need to divide 7/9 by 1/3. The answer is 7/3.
Explanation:To solve this problem, we need to divide 7/9 by 1/3.
Dividing fractions involves multiplying the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction.
So, 7/9 ÷ 1/3 = (7/9) x (3/1). Simplifying this gives us 21/9.
We can also simplify this fraction to the lowest terms, which is 7/3.
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons of water left.
Answers
The rate of leakage of the water from the container is 0.0625 gallons per minute, derived from the initial and final amount of water in the container and the elapsed time.
Explanation:This problem pertains to the concept of rate of change, a fundamental concept in Mathematics. The rate of leakage of the water from the container can be determined by finding the amount of water leaked per minute. Initially, the container holds 8 gallons of water and after 48 minutes, it has 5 gallons of water left. Hence, the water has been leaking from the container at a rate of (8 gallons - 5 gallons) / 48 minutes = 0.0625 gallons per minute. Understanding this concept can help you solve similar problems, for instance, calculating the time it would take to fill a swimming pool with given rate of water flow.
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