The triangles are similar. Find the missing side, angle or value of the variable.
∠B
a = 7 cm
b = 59°
59°
30°
91°
7 cm
Answers
Using the fact that both triangles are similar, we will conclude that the measure of angle B is 59°.
How to find the measure of angle B?
First, two figures are similar if the figures have the same shape, then the interior angles are all the same in both figures.
Here we know that the two triangles are similar and thus, the internal correspondent angles of the two triangles are equal in measure.
First, there is a common vertex at C, so the angle there is the same for both triangles. We also can see that angles A and D have the same measure, then the angles B and b will also have the same measure.
And we know that the measure of angle b is 59°, then we can conclude that the measure of angle B will also be 59°, so the correct option is the first one.
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Related Questions
Write an equation in slope intercept form that’s Perpendicular to y=1/4x+2, and passes through (0,0)
Answers
The equation which is perpendicular to the given equation as in the task content is; y = -4x + 0.
Perpendicular linesIt follows from the task content that the line given is; y=1/4x+2.
It follows that the slope is; 1/4 by comparison with the slope-intercept equation; y = mx +c.
Since the required equation is perpendicular; it follows that the products of the slopes must be equal to; -1.
Hence, m × (1/4) = -1
m = -4.
Since, the point, (0,0) is the y-intercept, it follows that the required equation is; y = -4x + 0.
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Please help!
Let z=3. Evaluate the expression.
4z - 15
12
-3
28
3
Answers
Answer:
-3 is the answer because the variable Z represents 3. we have to multiply 4 by 3 which represents Z.
Step-by-step explanation:
= 4*3 - 15
= 12 - 15
= -3
 A company has 37 2/11
acres of land. They give the City 5 1/2 acres for park. How many acres does the company now own?
Answers
Answer:
31 15/22 acres
Step-by-step explanation:
2/11=4/22
1/2=11/22
=15/22
37-6=31
31+15/22=31 15/22
a bottle of wine costs $20. if the wine is $5 more than the bottle, how much is the bottle?
Answers
Answer: the bottles cost is 15$
Step-by-step explanation:
Answer:
Step-by-step explanation:
if the wine bottle is $20 and the bottle is $5 less, then 20-5=15.
The bottle costs $15
12. Which of the following is a false statement?
A. Natural numbers are closed under division.
B. Integers are closed under subtraction.
C. Even numbers are closed under multiplication.
D. Real numbers are closed under addition.
Answers
Answer:
A
Step-by-step explanation:
At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to milliliters. Find the percent of decrease.
Answers
The percentage decrease is 43.75%
How to calculate the percentage?Initial volume = 3.2 millimeters
After experiment volume = 1.8 millimeters
Reduction = 3.2 - 1.8 = 1.4 millimeters
Therefore the percentage decrease will be:
= Reduction/Initial value × 100
= 1.4/3.2 × 100
= 43.75%
Therefore, the percentage decrease is 43.75%
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At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to 1.8 milliliters. Find the percent of decrease.
Hallar las
coordenadas
del punto B (x,x
- 2) y A (2,-4),
el valor de la
pendiente es
4/3.
Answers
Coordinates of point B is (-2,-6) which gives the slope of 4/3.
What is slope ?The slope formula is m=(y2-y1)/(x2-x1)
4/3 = (xy-2y-xy)/ (-4-2)
4/3 = -2y/ -6
2y = 12
y = 6
by comparing numerators x = -2
The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line. The origin for this usage is unknown, however it may be found in O'Brien's (1844) and Todhunter's (1888) formulations of the equation for a straight line.
The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio may occasionally be written as a quotient ("rise over run").
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A company has earnings before interest and taxes of $1,500,000, its tax rate is 40 %, interest is 30% of its total debt of $600,000, and lease payments are
$50,000. What is the company's times interest earned ratio?
3.8 times
8.3 times
O 5 times
4 times
Answers
The company's times interest earned ratio is 8.3 times
How to calculate the company's times interest earned ratio ?Company interest time ratio can be described as the measurement of how well an organisation is pay off their debts based on the amount of income generated by the company.
Company times interest ratio= earnings before interest/total debt × tax rate
= 1,500,000/600,000 × 0.30
= 1,500,000/180,000
= 8.3
Hence the company's times interest earned ratio is 8.3
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Write the following expression using the fewest possible terms. (−4x − 15) + (17 + 7x)
Answers
Answer:
3x +2
Step-by-step explanation:
Write the following expression using the fewest possible terms.
(−4x − 15) + (17 + 7x) =
-4x -15 + 17 + 7x=
3x +2
Write the fraction below as a
percent. Round your percent to the
nearest tenth if necessary.
6
50
Answers
Answer - 12%
6/50 = 12/100
What is the measure of an exterior angle of a regular ten-sided polygon?
Answers
Answer:
36 each and 360 for all exteriors
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
36 x 10 ( how many sides a decagon has) = 360 degrees
what is 9/8 times 3/8
Answers
Chen says the product of 4x0 is the same as the sum of 4+0. Is Chen correct? Explain.
Answers
Answer:
No
Step-by-step explanation:
The product of zero and any number is zero. Basically, if you multiply any number with zero, you get zero. Hence, 4*0=0. However, anything added with zero is itself since you're basically not adding anything to that number. For example, nothing is being added to 4 in '4+0', so 4+0=4.
4*0=0
4+0=4
0[tex]\neq[/tex]4
HELP . Gilligan sees a ship coming close to the shore he's standing on. He wants to
determine the distance (segment SD) from the ship to the shore. He walks 130 ft along the shore from point D to point C and marks that spot. Then he walks 23 ft further and marks point B. He turns 90° and walks until his location (point A), point C, and point S are collinear. Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why not?
(b) Suppose AB = 50 ft. What is the distance from the ship to the shore? Show all your work and round your final answer to the nearest tenth of a foot.
Answers
The distance (segment SD) from the ship to the shore and Gilligan sees a ship coming close to the shore he's standing on.
The triangles ABC and SDC are similar.
Gilligan may deduce that triangles ABC and SDC are comparable.
Gilligan may deduce that the ship's distance from the cost is 509 feet.
The triangles ABC and SDC are similar.
Gilligan may deduce that triangles ABC and SDC are comparable.
Gilligan may deduce that the ship's distance from the cost is 509 feet.
We may deduce from the question that points S, C, and A are collinear, whereas lines AB and SD are vertical and parallel lines on either side of point C.
As a result, Gilligan may deduce that triangles ABC and SDC are comparable.
How to Determine SD Distance
To do this, we employ the corresponding ratio shown below.
90 should be substituted for AB.
Calculate as a fraction
Make SD the topic.
As a result, Gilligan may deduce that the ship's distance from the land is 509 feet.
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True or false every rational number is a real number
Answers
Answer: TRUE
Step-by-step explanation:
Yes, every rational number is a real number. All numbers go into the real number system, including rational numbers. So the answer is true.
The sum of 6 times a number is x and 10 is36 write and solve an equation to find the number x
Answers
Answer:
13
Step-by-step explanation:
En una región productora de citricos se Produce una
Fuente helada que daña la cosecha Y, como resultado, sube
el precio de la naranja ¿el precio de equilibrio del zumo
de la naranja subirá,bajará o se mantiene constante?
¿Y como se comportara to cantidad de equilibrio?
elabora un diagrama con los curvas de oferta y
demanda que explique tu respuesta.
Answers
Step-by-step explanation:
En una región productora de citricos se Produce una
Fuente helada que daña la cosecha Y, como resultado, sube
el precio de la naranja ¿el precio de equilibrio del zumo
de la naranja subirá,bajará o se mantiene constante?
¿Y como se comportara to cantidad de equilibrio?
elabora un diagrama con los curvas de oferta y
demanda que explique tu respuesta.
Can somebody please help me
Answers
Answer:
Step-by-step explanation:
Can somebody help me if you know what this is
Answers
Answer:
-2.5, -7/3, |-2|
Step-by-step explanation:
-2.5 = -2.5
-7/3 = -2.333333333...
|-2| = 2
middle then first then last is least to greatest
mx=n+p ,for x
step by step aswell please
Answers
The solution for x from the linear equation is x=(n+p)/m .
Linear equation is a equation where the greatest degree of the variable is 1 in the equation.
A basic linear equation in the variable x is of the form ax+b =0 where b is a constant and a is the co-efficient of x.
To solve a linear equation for x we use the simple mathematical operations to make x the subject of the formula.
Given equation is:
mx=n+p
We have to find the value of x.
So we can see that the variable x has a constant co-efficient m
to make x the subject we divide both sides of the equation by m.
Therefore:
mx÷m=(n+p)÷m
or, x=(n+p)/m
So on solving the linear equation we get the value of x as (n+p)/m
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7/9 + 4/5 simplest form
Answers
Answer:
71/45
Step-by-step explanation:
Fraction: 71/45
OR
Decimal: 1.57
OR
Mixed Fraction: 1 26/45
Graph y = 5.
Answer??
Answers
Answer is in the image below . -
The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the function below, with t = 0 corresponding to the beginning of 1995.†
$$ f(t) = \left\{
\begin{array}{rcl}
4.1 & \mbox{if} & 0 \le t < 5\\
-0.03t+4.25 & \mbox{if} & 5 \le t < 15\\
-0.075t+4.925 & \mbox{if} & 15 \le t \le 35\\
\end{array}
\right. $$
(a) Sketch the graph of the function f. When sketching the function, make sure you pay attention to whether each section of the graph starts and ends with open or closed circle.
Answers
The graph of the function f. When sketching the function, make sure you pay attention to whether each section of the graph starts and ends with open or closed circle.
[tex]F(t)= \begin{cases}4.1 & 0 \leqslant t < 5 \\ -0.03 t+4.25 & 5 \leqslant t < 15 \\ -0.075 t+4.925 & 15 \leqslant t \leqslant 35\end{cases}[/tex]
Ratio[tex]$=f(9)=-0.03(9)+4.25=3.98$[/tex]
Year 2020 corresponds to t=25
Ratio [tex]$=f(25)=-0.075(25)+4.925=3.05$[/tex]
c. Ratio is constant when t lies in [0,5] ic., in the years [1995,2000]
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.
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What are two different ways to describe the relationship between the values of each digit 8 in 3.884
Answers
Answer: 8 is 10x bigger than 8 8 is 10x less than 8
Step-by-step explanation:
If 2log3 Y + log3 x² = 4. find y
Answers
Answer:
Step-by-step explanation:
9/x
Which is an expression of degree 4 quadratic term with coefficient of 10.
Answers
Answer: think that it is four
Step-by-step explanation: but i don't know because i looked it up
Select the correct answer. What is this expression in simplified form? ( 6√2 ) ( − 3√5 )
A.-90
B.-18√10
C.-18√7
D.3√7
Answers
Answer:
the answer is B because the 6 is multiplied by the -3 and the rot 5 is multiplied by root 2
Solve by factoring:
x3+3x2+9x+27=0
Answers
Answer:
x = −3,3i, −3i
Step-by-step explanation:
Question 3(Multiple Choice Worth 2 points) (Order of Operations with Radicals LC) Simplify the expression. 20(6) − 7 113 20 −20 −113
Answers
The simplified value of the expression will be -824.
What is algebraic expression ?
An algebraic expression in mathematics is made up of variables, constants and operations such as addition, subtraction, etc.
Given that the expression is 20 × (6) − (7 × 113 × - 20) − 20 − 113.
Now , we will simplify the above expression using PEMDAS rule , which follows the order that is parentheses, exponents, multiplication, division, addition, subtraction.
So , if we solve the expression we will get ,
= (20 × 6) − (7 × 113) - 20 − 20 − 113
Firstly , solve terms which are in parentheses.
= 120 - 791 - 20 - 20 - 113
Now , we will add all the negative terms.
= 120 - 944
Now , subtracting both numbers.
= -824
Thus , the simplified value is equal to -824.
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389x89 i really Need help . Show work pls
Answers
Answer: the answer would be 34621
Step-by-step explanation:
Answer:
34,621
Step-by-step explanation:
Well as it may look hard it is simpler than you think
389*89 looks like a big number right? lets break it down into small pieces!
lets split up 389 into hundreds, tens, and ones.
So that will make it 300, 80, and 9!
Since we have to make 89 more of those numbers, lets try out a simple number in there!
Lets look at 9*89
9*9= 81
9*80=720
This means the answer is 801!
we will use this number later!
Now lets move on to 80*89!
80*9=720
80*80=6400
We will get 7120 if we add them!
we will also use that number later!
Now finally, 300*89!
300*80=24000
300*9=2700
We will get 26700!
Now finally, we add up all the three answers we got!
801 + 7120 + 26700 = 34621
This means the final answer is 34,621! I hope this helps!