Answers
Answer:
x= 38
y= 71
Step-by-step explanation:
The triangle shown in the figure is an isosceles triangle, a triangle having two sides equal.
The two sides marked with a "dash" are said to be equal.
STEP I:If we label off the triangle as ABC with AD being the extended length (containing 108°).
We'll get,
AB = AC
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP II:*Property*
"If two sides of a triangle are equal their corresponding base angles are equal too."
=> ∠BAC = ∠BCA . . . . (¡)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP III:From the figure, ∠BCA is equal to y.
*Property*
"Two angles on a straight line sum up to 180°"
∠BAC can be found out by subtracting 109° from the straight angle (180°).
=> ∠BAC = 180 - 109
=> ∠BAC = 71°
Substituting these values in eqn. (¡):
71 = y
Hence, the value of y is 71°
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP IV:*Property*
"The exterior angle(angle on the extended side) of a triangle is equal to the sum of it's interior opposite angles."
Here,
Interior angles = x and y (= 71)Exterior Angle = 109°=> 109 = x + 71
=> 109 - 71 = x
=> x = 38°
Hence, the value of x is 38°.
Related Questions
En la siguiente figura, determinar el valor de x.
2x
х 3x
Answers
Step-by-step explanation:
we know,
sum of all angles on a straight line is 180°.
so according to it,
x + 2x + 3x = 180
6x = 180
x = 180/6 = 30
x = 30°
therefore, value of x is 30°.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Answer:
See below, please.
Step-by-step explanation:
x+2x+3x=180
So, 6x=180
x=30
Please answer! I’ll give you Brainliest
Answers
A)
The four small squares are all 3x3, so the perimeter is 3+3+3+3 = 12.
12 * 4 = 48
We can find the perimeter of the large diamond shape using the Pythagorean theorem, a^2 + b^2 = c^2
a = 4
b = 4
4^2 + 4^2 = c^2
16 + 16 = c^2
32 = c^2
c = 5.65685425
So the perimeter of the large diamond shape is
5.65685425+5.65685425+5.65685425+5.65685425 = 22.627417
48+22.6 = 70.6
B)
The areas of the small squares are 3x3 = 9
9 * 4 = 36
The area of the large diamond shape is
5.65685425 * 5.65685425 = 32
36 + 32 = 68
If the perimeter of a square is 7 feet how many inches long is the square on each side?
Answers
Answer:
7÷4=1.75
Step-by-step explanation:
..............
The length of each side of the square is 1.75 feet.
What is square?"It is a quadrilateral with all sides are equal and all angles are 90°"
What is the perimeter of square?"The perimeter of square is, P = 4 × a,
where 'a' is the side length of the square."
For given example,
the perimeter of a square is 7 feet.
⇒ P = 7 feet
Let 'a' be the length of each side of the square.
Using the formula of perimeter of a square,
⇒ P = 4 × a
⇒ 7 = 4 × a
⇒ a = 7 ÷ 4
⇒ a = 1.75 feet
Therefore, the length of each side of the square is 1.75 feet.
Learn more about the perimeter of a square here:
https://brainly.com/question/11495285
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I need #2 done ASAP (Must show work) Will give brainliest
Answers
Answer:
Using the Vertical Angle Theorem,
if two angles are vertical, then they are congruent
therefore, ∡4=∡5 and ∡6=∡7
since ∡4≅∡7
then ∡5 must also be ≅ to ∡6
Step-by-step explanation:
Step-by-step explanation:
Statement Reason
∠4 ≅ ∠7 Given
∠4 and ∠5 are vertical angles Vertical angles theorem
∠6 and ∠7 are vertical angles Vertical angles theorem
∠4 ≅ ∠5 and ∠ 6≅ ∠7 Definition of vertical angles
∠5 ≅ ∠6 Substitution property of equality
Hailey is putting up a fence in the shape of an isosceles triangle in her
backyard. The fence has side lengths as shown, where x represents the
number of feet in each fence section. The perimeter of the fence can be
covered using 8 total fence sections represented by the expression 8x. If
fencing costs $6.50 a foot, what would be the total cost of the fence?
(2x + 4) ft
(3x + 7) ft
.
(2x + 4) ft
Answers
Answer:
the total cost would be $ 780.00
Step-by-step explanation:
step by step explanation
go ahed and try im confuesd
Answers
Answer:
a and c and e
Step-by-step explanation:
Answer: I believe its proportional
Step-by-step explanation:
Only right answers! Please hurry.
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Answers
Part A.) 67.65%
Part B.) 134/205
Part C.) The strongest of the relative frequencies is the people who like hamburgers. The total is significantly higher then all of the totals of people who don’t like hamburgers or burritos.
Explanation:
The data showing this gives you all the answers you need make sure and double check the work
Answer:
Part A: about 8%
Part B: about 65%
Step-by-step explanation:
help help help pls I have to do it
Answers
Gavyn drivers at a speed of 50 miles per hour. How long will it take to drive 225 miles
Answers
Answer:
4.5hours - 4h30 min
Step-by-step explanation:
Doing the math: 225 miles : 50 miles per hour = 4.5 hours
Thinking about it: 50 mph means that it takes 1 hour to do 50 miles. in 2 hour he travels 100. double again, it's 4 hours for 200 miles. Then there's 25 left, so half an hour. 4.5 hours or 4h30min
A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
Answers
Answer:
9 mmStep-by-step explanation:
A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
----
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
We use the inverse formula
base = 2A : height
2 * 27 : 6 = 9
------------------------
check
6 * 9 : 2 = 27
the answer is good
1/4 , 0.5 , 10/25 from least to greatest
Answers
Answer: 1/4, 10/25, 0.5
Explanation: It doesn't take rocket science to solve this Brainliest please!
A sunflower grows to be 200cm tall. After four weeks, it was 30% of this height. How tall
was the sunflower after four weeks?
Answers
Answer:
60cm
Step-by-step explanation:
200*3/10=20*3=60
match the pairs with equivalent expressions
Answers
Answer:
Where is the picture
Step-by-step explanation:
Give us the picture or something like that
The radius of a circle is 15 inches. What is the circumference of the circle? Write your answer using .
Answers
Answer: C ≈ 94.25 in
Step-by-step explanation:
A small business has 50 total employees, 15 of which are full-time. What percent of the employees are part-time?
Answers
Answer:
70%
Step-by-step explanation:
50-15 =35
35/50 = 70/100
Mary is a lawyer who has an annual salary of $ 147,362. She has to pay
state income tax of 8%. What is the amount that Mary pays in state
income tax?
A $ 12,365.96
B) $ 11,788.92
C)$ 11,788.96
D $ 12,365.92
Answers
Answer:
3
Step-by-step explanation:
To calculate the amount that Mary pays in state income tax, we need to find 8% of her annual salary.
Given that Mary's annual salary is $147,362, we can calculate the state income tax as follows:
State Income Tax = (8/100) * Annual Salary
State Income Tax = (8/100) * $147,362
State Income Tax = $11,788.96
Therefore, Mary pays $11,788.96 in state income tax.
The correct answer is C) $11,788.96.
[tex]\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}[/tex]
In a school egg drop challenge, 68 of the eggs broke out of 100 total. What percent of the eggs survived the drop?
Answers
so 32%did ?
CAN SOMEONE PLSSSS HELP ME ON THE LAST ONE (c) AND GIVE THE REASON IM SO STUCK IN THIS MUCH APPRECIATED TO THOSE WHO HELP
Answers
Answer:
Diagram B
Step-by-step explanation:
A line of best fit is a line drawn through a set of points that fits it best. You can see in diagrams A and C that the lines cross through or near most of the points. However, in diagram B, it crosses through 2 points, and misses quite a lot. Your answer is B :) hope this helped!
encuentra el termino indicado de cada sucesion aritmetica #12avo termino de 2,4,6. #10mo termino de 1,-1-5. #8vo termino de -1,1,3
Answers
Step-by-step explanation:
hope it will helps you my answer
A number c minus 7.3 is less than 6. write this word sentence as an inequality?
Answers
Answer:
c - 7.3 < 6
Step-by-step explanation:
c - 7.3 is less than 6
less than is the same as <
So c - 7.3 < 6
-Chetan K
Answer:
c - 7.3 < 6
Step-by-step explanation:
divide. write your answer in simplest terms. 3/4 divided by 1 1/5
Answers
Answer:
1 13/20
Step-by-step explanation:
3/4 divide by 5/11
=3/4 times 11/5
=33/20
Convert
=1 13/20
John scored 75% of the total marks How many marks did he get
Answers
Given :-
John scored 75% of the total marks .To Find :-
How many marks did he get .Solution :-
Let us say that the maximum marks for the exam was x . So he got 75% of x that is ,
[tex]\longrightarrow[/tex] Marks = 75% of x
[tex]\longrightarrow[/tex] Marks = 75/100 × x
[tex]\longrightarrow[/tex] Marks = 3/4 × x
[tex]\longrightarrow[/tex] Marks = 3x/4
Hence he scored 3x/4 marks in the test.
1) 1/2 × 4 × 2/3
2) 6 × 2/3 × 1/4
3) 8 × 2/5 × 10/12
4) 5/6 × 2/5 × 10
5) 1/9 × 3/4 × 1
Answers
Answer:
1/2 times 4 4/2 2*2/3 4/3
-
Which equation represents a line which is parallel to the line 7y - 4x = -14?
Oy= 1x + 2
O y = x - 1
O y = -x + 6
Oy = -x - 3
Answers
Solve 6(x - 3) + 7 = -5.
Answers
The answer will be:- x = 1
subtract 7 on both sides
then divide by 6 on both sides
finally add 3 to both sides
then u get x=1
How to integrate absolute value.
Answers
Answer:
I cant even see anything can you reupload your answer, please?
Step-by-step explanation:
plz plz plz plz plz plz plz plz plz
Answers
Answer:
Step-by-step explanation:
I've done this just cant see the whole thing
Answer Asap!
<3 <3 <3
Thx
Answers
Answer:
d or b
Step-by-step explanation:
look at where the c and a are and the numbers alighn
The following for loop prints the numbers 1 to 20 on one line with a space between.
for (int i = 1; i <= 20; i++)
{
System.out.print(i + " " ); // prints each value of i followed by a space on one line
}
Question
Consider the for loop example above. Assume you want to adjust the loop to print only the even values from 1 and 20. What must the loop elements - counter initialization, conditional statement, and counter modification - be set to in order to accomplish the goal.
Review all options listed below carefully. You MUST select 3 answers; one for each element/category:
Counter initialization
Conditional statement
Counter modification
a. int i = 0;
b. int i = 1;
c. int i = 2;
d. i < 20;
e. i <= 20;
f. i > 20;
g. i++;
h. i+=1-;
i. i+=2;
Answers
Answer:
Counter initialization: [tex]\verb!int i = 2![/tex].
Conditional statement: [tex]\verb!i <= 20![/tex].
Counter modification: [tex]\verb!i += 2![/tex].
Step-by-step explanation:
In the current Java for-loop in this question:
The counter initialization statement [tex]\verb!int i = 1![/tex] in this for-loop would initialize the counter variable to integer [tex]1[/tex]. The conditional statement [tex]\verb!i <= 20![/tex] holds as long as the counter is less than or equal to [tex]20[/tex]. Thus, the largest possible value for the counter would be [tex]20\![/tex].The counter modification statement [tex]\verb!i++![/tex] is equivalent to [tex]\verb!i += 1![/tex]. This statement would add [tex]1[/tex] to the value of the counter in each iteration.The even integers between [tex]1[/tex] and [tex]20[/tex] includes [tex]2,\, 4,\, \dots,\, 20[/tex]. It would be necessary to add [tex]2[/tex] each time to get to the next number.
Since the list of even integers starts at [tex]2[/tex], it would be necessary to initialize the counter variable to [tex]2\![/tex] rather than [tex]1[/tex]. Thus, replace the counter initialization statement [tex]\verb!int i = 1![/tex] with [tex]\verb!int i = 2![/tex].
The maximum integer that this loop should print is still [tex]20[/tex]. Thus, the conditional statement [tex]\verb!i <= 20![/tex] does not need to be changed.
The for-loop should add [tex]2[/tex] to the counter each time to get to the next even integer. Thus, the counter modification statement [tex]\verb!i++![/tex] (or equivalently, [tex]\verb!i += 1![/tex]) should be replaced with [tex]\verb!i += 2![/tex].
Overall, the for-loop should be:
[tex]\begin{aligned}& \verb!for (int i = 2; i <= 20; i += 2) {!\\ &\quad \verb!System.out.print(i + " ");! \\ &\verb!}!\end{aligned}[/tex].
logb(x-1) + logb(x+2) = logb(8-2x)
Answers
Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
