Point Z is equidistant from the vertices of ΔTUV.
Which must be true?
TA=TB
AZ=BZ
BTZ=BUZ
TZA= TZB
Answers
Consider right triangles BTZ and BUZ.
ZB = ZB (Common)
ZT = ZU (Given)
Therefore, ΔBTZ ≅ ΔBUZ (By RHS theorem)
Hence, by CPCTC,
∠BTZ = ∠BUZ
Answer:
(C)
Step-by-step explanation:
It is given that Point Z is equidistant from the vertices of ΔTUV, therefore ZT=ZU=ZV.
Now, from ΔBTZ and ΔBUZ, we have
ZT=ZU (Given)
BZ=ZB (common)
therefore, by RHS rule of congruency,
ΔBTZ≅ΔBUZ
Thus, by corresponding parts of congruent triangles, we have
∠BTZ=∠BUZ
Thus, option C is correct.
Also, it is not necessary that TA=TB and AZ=BZ because there is no information given regarding these equalities.
Related Questions
Adonica made snacks for her friends by putting equal amounts of trail mix into small bags. If she started with 3 4/5 cups of trail mix and put 3/4 cup into each bag, how many complete bags did she make?
Answers
Answer:
5 bags
Step-by-step explanation:
Given,
The total number of cups in trial mix = [tex]3\frac{4}{5}[/tex],
The number of cups in each bag = [tex]\frac{3}{4}[/tex]
So, the number of bags,
[tex]=\frac{\text{Total cups}}{\text{Cups in each }}[/tex]
[tex]=\frac{3\frac{4}{5}}{\frac{3}{4}}[/tex]
[tex]=\frac{\frac{19}{5}}{\frac{3}{4}}[/tex]
[tex]=\frac{76}{15}[/tex]
[tex]=5\frac{1}{15}[/tex]
Hence, 5 complete bags would made.
luisa sells stuffed animals. she sells a stuffed elephant for $34.90, and the sales tax is 6% of the sale price. about how much is the sales tax on the elephant?
Answers
Hope this helps!
To find the sales tax on a $34.90 item with a 6% tax rate, convert 6% to a decimal (0.06) and multiply by the item cost, resulting in a sales tax of about $2.09.
Luisa sells a stuffed elephant for $34.90 and needs to calculate the sales tax, which is 6% of the sale price. To find the sales tax, first convert the percent to a decimal by dividing by 100, which makes it 0.06. Then multiply the sale price by this decimal:
$34.90 x 0.06 = $2.094
Now, you need to round $2.094 to the nearest penny, which is $2.09. Therefore, the amount of sales tax on the stuffed elephant is approximately $2.09.
Sarah converts the number 1,500,600 into scientific notation she writes 1.5006 x 10^4 which of the following statements is true?
A. Sarah is correct
B. Sarah is not correct because the exponent should be 6
C. Sarah is not correct because 1.5006 should be 1.5
D. Sarah is not correct because the exponent should be -4
Answers
Answer:
Option B. is the answer.
Step-by-step explanation:
Sarah converts the number 1500600 into scientific notation. She writes [tex]1.5006\times 10^{4}[/tex].
Therefore [tex]1.500600=1.5006\times 1000000=1.5006\times 10^{6}[/tex] is the correct representation.
Sarah should have written exponent as 6 in place of exponent 4.
Therefore Sarah is not correct.
Option B. is the correct option.
1.6 x 10^8)(5.8 x 10^6)
---------------------------
(4 x 10^6)
Expreesed in Scientific Notataion
Answers
(160000000)(5800000)/4000000=232000000. And then convert it back.
Imagine you are drawing a comic strip showing how to solve the problem 72 divided into 4 to new 4th graders. Create a script to explain how you can keep dividing after getting a remainder of 3 tens in the first step
Answers
First, we divide first the tens digit which is 7 by 4. We get 1 and a remainder of 3 tens. Meaning each of the egg basket is having at least 10 quail eggs.
Then, 3 tens will be coupled with 2 thus making 32. We further divide the resulting number with 4. We know that four (4) eights make up to 32. In equation, 8+8+8+8 = 32 or 4x8 = 32. Thus, 32/4 will give us the quotient of 8. Meaning each basket will get 8 eggs.
Adding all up, 10+8 eggs will give us 18 eggs. Therefore, each basket will contain 18 eggs. 72 divided by 4 is 18.
i will give brainliest to the best answer to this question: Each year, the Department of Water Works measures the chloride concentration level in the water. The first year, they found the chloride concentration changed by −135 mg/L . It is estimated that the chloride concentration will change −2115 mg/L the next year.
What is the total change that will likely occur in 2 years?
Enter your answer as a simplified mixed number in the box.
______mg/L
Answers
Answer:
The total change that will likely occur in 2 years is [tex]=-3\frac{2}{3}[/tex] mg/L
Step-by-step explanation:
Given : The first year, they found the chloride concentration changed by [tex]-1\frac{3}{5}[/tex] mg/L .
It is estimated that the chloride concentration will change [tex]-2\frac{1}{15}[/tex] mg/L the next year.
To find : What is the total change that will likely occur in 2 years?
Solution :
The chloride concentration changed by [tex]-1\frac{3}{5}=-\farc{8}{5}[/tex] mg/L in first year.
The chloride concentration will change [tex]-2\frac{1}{15}=-\frac{31}{15}[/tex] mg/L the next year.
The total change that will likely occur in 2 years is
[tex]=-\frac{8}{5}+(-\frac{31}{15})[/tex]
[tex]=\frac{-24-31}{15}[/tex]
[tex]=\frac{-55}{15}[/tex]
[tex]=\frac{-11}{3}[/tex]
In a mixed fraction - [tex]=-3\frac{2}{3}[/tex] mg/L
The answer is for sure Answer: - 3 2/3
the two goes on top of the three
Ivan and Jeff buy a package of 8 pens for $4.00. Ivan wants 5 of the pens, and Jeff wants 3. How much should each student pay?
Answers
.5 * 5 = 2.50
.5 * 3 = 1.50
Ivan pays $2.50 and Jeff pays $1.50
MATH QUESTION IM WASTING POINTS HURRY PLEASE
Answers
Given 3x <9 Choose the solution set
Answers
x < 3
The solution is x < 3
Answer:
[tex]x<3[/tex] or [tex](-\infty,3)[/tex]
Step-by-step explanation:
We have been given an inequality [tex]3x<9[/tex]. We are asked to find the solution set for our given inequality.
We will divide both sides of our inequality by 3 to solve for x.
[tex]\frac{3x}{3}<\frac{9}{3}[/tex]
[tex]x<3[/tex]
Therefore, the solution for our given inequality will be all values of x less than 3, that is [tex](-\infty,3)[/tex] in interval notation.
the square of m minus the cube of n is sixteen
Answers
[tex] {m}^{2} - {n}^{3 } = 16[/tex]
the deepest point in the Indian Ocean is Java trench which is 25344 Ft below sea level elevations below sea level are represented by negative numbers write the elevation of java Trench
Answers
Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?
Answers
Answer:
The linear function is [tex]y=-x+3[/tex]. The graph of function is given below.
Step-by-step explanation:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
Since the slope is -1 and the y-intercept is 3, therefore the linear function is,
[tex]y=-x+3[/tex]
put y=0, to find x-intercept.
[tex]0=-x+3[/tex]
[tex]x=3[/tex]
Therefore the line intersect the y-axis at y=3, x-intercept is x=3 and the as the value of x increases the value of y decreases.
The graph of the linear function [tex]y=-x+3[/tex] is given below.
The first graph.
It's right on edge
What is 0.9 1/ 10th of
Answers
i dont know because you worded it weird
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible. Which will most likely help her get the lowest interest rate?
A)asking nicely
B)making sure she has a positive credit history
C)explaining that she has many outstanding loans
D)showing her driver’s license
Answers
Answer:
B)making sure she has a positive credit history
Step-by-step explanation:
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.
B) making sure she has a positive credit history - will most likely help her get the lowest interest rate.
Getting low interest rates does not depend on the way you talk or if you have a driver licence.
It depends on your previous credit history and credit scores. When you have good scores, this means you have always paid your debts on time and this makes sure that you will do the same in future.
So, you get low interest rates based on good credit history.
To get the lowest interest rate she should make sure that she has a positive credit history. Option (B) is correct.
Further Explanation:
Given:
The options are as follows,
(A). Asking nicely
(B). Making sure she has a positive credit history
(C). Explaining that she has many outstanding loans
(D). Showing her driver’s license
Explanation:
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.
To get the lowest interest rate she should make sure that she has a positive credit history. Option (B) is correct.
Option (A) is not correct.
Option (B) is correct.
Option (C) is not correct.
Option (D) is not correct.
Learn more:
If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard https://brainly.com/question/2479097. Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? https://brainly.com/question/1446243.Answer details:
Grade: High School
Subject: Mathematics
Chapter: Loan schedule
Keywords: Yoko, buying, car, local car, dealership, lowest interest rate, possible, asking nicely, credit history, positive credit history, loan, license, outstanding.
The quotient of the opposite of 30 and 6 plus the opposite of 8
Answers
The quotient of the opposite of 30 and 6 means we're dividing negative 30 by 6. The next part, "plus the opposite of 8" means we want to add -8 to whatever we get from -30/6. So we have:
[tex]\frac{-30}{6}+(-8)[/tex]
[tex]-5+(-8)[/tex]
[tex]-13[/tex]
a chair is placed several feet from a fire in a fireplace the fireplace has a glass screen the side of the chair facing the fireplace gets warm because of conduction convection or radiation??? will give brainliest
Answers
The warmth felt by the chair facing the fireplace is primarily due to radiation, where heat from the fire emits infrared radiation that is subsequently absorbed by the chair surface.
Explanation:The side of the chair facing the fireplace gets warm primarily because of radiation. Radiation is the process whereby heat is transferred through electromagnetic waves. In this case, heat from the fire emits infrared radiation, which travels through the air until it strikes the surface of the chair and is absorbed, causing the chair to warm up.
In heat transfer, there are three main methods: conduction, convection, and radiation.
Conduction is the process whereby heat is transferred through direct contact of objects, while convection involves the movement of warm air or fluids. Conduction and convection play minor roles in this scenario -- conduction would occur if the chair were in contact with the warm air, and convection is mainly responsible for heat transfer within the air of the room.
Learn more about Heat Transfer here:
https://brainly.com/question/13433948
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I am a mutiple of 60. I am between 400 and 600 . I am 40 away from a multiple of 100. who am i
Answers
The #s are 420, 480, and 540.
None of them are 40 away from a multiple of 100.
However, it is was between 300 and 600, the answer would be 360.
What is the y-intercept of the function f(x) = –x + ?
Answers
then the y-intercept is b- that means x=0 and y=b
but x+? is???
If Ryan pays his car insurance for the year in full, he will get a credit if $28. If he chooses to pay a monthly premium, he will pay a $10 late fee for any month the payment is late
A.which of these values could be represented with a negative number?explain.
Answers
Answer:
The value that represented with a negative number is the $10 fee that Ryan pay as a late fee.
Step-by-step explanation:
Consider the provided information.
Ryan pays his car insurance for the year in full, he will get a credit of $28.
Here credit represented with a positive number because $28 added to his account.
If he chooses to pay a monthly premium, he will pay a $10 late fee for any month the payment is late.
Here late fee represented by a negative number because if he will miss his monthly payment then $10 will be subtracted from his account.
Thus, we can say that the value that represented with a negative number is the $10 fee that Ryan pay as a late fee.
in the figure below line DE is parallel to line FG and transversal AG
Answers
Answer: The answer is 147° and 33°.
Step-by-step explanation: We are given a figure in which the line DE is parallel to the line FG and AG is a tranversal. We are to find the value of 'x' and 'y' from the figure.
Also, given that
∠ABE = (5y - 18)°.
We can see from the figure that ∠DBG and ∠ABE are vertically opposite angles, so they must be equal.
That is,
[tex]\angle DBG=\angle ABE\\\\\Rightarrow x=5y-18\\\\\Rightarrow 5y-x=18.~~~~~~~~~~~~~~~(i)[/tex]
Also, since ∠DBG and ∠FGB are interior angles on the same side of the transversal, so their sum is 180°.
That is
[tex]\angle DBG+\angle FGB=180^\circ\\\\\Rightarrow x+y=180.~~~~~~~~~~~~~~~~~(ii)[/tex]
Adding equations (i) and (ii), we get
[tex]y+5y=18+180\\\\\Rightarrow 6y=198\\\\\Rightarrow y=33,[/tex]
and from equation (ii), we get
[tex]x=180-33=147.[/tex]
Thus, x° = 147° and y° = 33°.
What is the value of the expression? (−3)3+6^3/12 Enter your answer in the box.
(6^3/12 is a fraction) and (6^3 means 6*6*6)
Answers
-9 + 18 = x
9 = x
Which is the simplified form of (2ab/a^-5 b^2)^-3?
Answers
1) [tex]( x^{a} )^{c} = x^{a*c} [/tex]
2) [tex] x^{a} * x^{b} = x^{a+b} [/tex]
3) [tex] \frac{ x^{a} }{x^{b}} = x^{a-b} [/tex]
an x is a base - the law is valid if the bases are the same number!
The solution in attachment :)
Answer:
A on e2020/edge
Step-by-step explanation:
What 2 facts can you double to find 8x4? Explain.
Answers
1/8(−8c+16)−1/3(6+3c) Find the difference
Answers
Answer:
its -2c
Step-by-step explanation:
A marathon is 131 over 5 miles long. If for people divide up the distance equally, how many miles does each person need to run?
Answers
Answer:
6.55 miles to run
Step-by-step explanation:
A distance of marathon is = [tex]\frac{131}{5}[/tex] miles long.
or [tex]26\frac{1}{5}[/tex] miles
If four people divide up the distance equally.
To calculate the distance each person need to run we will divide [tex]\frac{131}{5}[/tex] by 4
= [tex]\frac{\frac{131}{5} }{4}[/tex]
= [tex]\frac{131}{5}[/tex] × [tex]\frac{1}{4}[/tex]
= [tex]\frac{131}{20}[/tex]
= [tex]6\frac{11}{20}[/tex]
= 6.55 miles
each 4 person need 6.55 miles to run.
Jackson has 2,000 baseball cards in his collection. Gabe has 1/10
as many baseball cards in his collection as Jackson. How many baseball cards does Gabe have in his collection?
Answers
Answer:
200 cards
Step-by-step explanation:
Given: Jackson has 2,000 baseball cards in his collection. Gabe has [tex]\frac{1}{10}[/tex] as many baseball cards in his collection as Jackson.
To Find: How many baseball cards does Gabe have in his collection.
Solution:
Total number of cards Jackson has in his collection [tex]=2000[/tex]
Let number of cards Gabe has =[tex]\text{x}[/tex]
Now,
Number of cards Gabe has [tex]= \frac{\text{total cards Jackson has}}{10}[/tex]
[tex]\text{x}= \frac{\text{total cards Jackson has}}{10}[/tex]
putting values
[tex]\text{x}= \frac{2000}{10}[/tex]
[tex]\text{x}= 200[/tex]
Hence Gabe has 200 baseball cards in his collection.
There are 200 baseballs in Gabe's collection
Total number of baseball in Jackson's baseball = 2000
Gabe's fraction of Jackson's baseball = 1/10
The Number of baseball in Gabe's collection is :
[tex](2000 \times ( \frac{1}{10} )) = \frac{2000}{10} = 200[/tex]
Therefore, the Number of baseball in Gabe's collection is 200.
Learn more : https://brainly.com/question/18109354
Write he ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee=
Answers
The ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee is 10.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
$7 1/2 = $(7 + 1/2) = $15/2
$30/4 → $3/4 × 10
3/4 pounds
Ratio = 10
Hence "The ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee is 10".
For more information about ratios and proportions,
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In the diagram, AB:BC is 3:4 and AC:42 Find BC
Answers
AB + BC = AC
we know that AC = 42, therefore:
AB + BC = 42 ..............> equation I
We know that the ratio AB:BC is 3:4. This means that:
AB/BC = 3/4
4AB = 3BC
AB = (3/4) BC ...............> equation II
Substitute by equation II in equation I to get BC as follows:
(3/4) BC + BC = 42
1.75 BC = 42
BC = 24
Substitute with the value of BC in equation II to get AB as follows:
AB = (3/4) * 24 = 18
A drawing with the scale of 3 cm for each meter shows where Adam wants to plant flowers. If the actual distance of the flower planting is 25 m long, how long is the scale distance on the drawing?
Answers
melanie michael has a salaried and exempt job. she earns $825 a week. one week she worked 46 hours. find her gross weekly earnings.