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
A soap manufacturing company packs 5252 soap bars per carton.
Find the number of soap bars that can be packed in 99 cartons, using a direct variation model.
Answers
If this is the question in picture below.
Answer:
468
Step-by-step explanation:
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
a farmer takes 1 week to fill 6 bins of squash. At this rate,how long will it take to fill 360 bins
Answers
Answer:
60 weeks
Step-by-step explanation:
Setup a proportion.
[tex] \frac{weeks}{bins} \frac{1}{6} = \frac{w}{360} [/tex]
cross multiple
[tex]6w = 360[/tex]
now divide by 6
[tex] \frac{6w}{6} = \frac{360}{6} [/tex]
[tex]w = 60[/tex]
Answer/Step-by-step explanation:
Important Information:
1 Week to fill 6 Bins
Question to answer:
How Long will it takes to fill 360 Bins
Solution/Explanation:
360 Divided by 6 =
60 Week
Adding & Subtracting Decimals
Add the decimals using the table.
46.9 + 14.74
+
Answers
Answer:
19.43
Step-by-step explanation:
This is a trick for you.
Make the numbers to become whole numbers(1474+469)
After adding the whole numbers,the decimal point were 2 so,move 2jumps from the right to the left which will give you 19.43 as your answer.
HELPPPPPPPPPPPPPPPPPP
Answers
what is the square of 0.81?
Answers
Answer:
0.9 or 9/10Step-by-step explanation:
what is the square of 0.81?
0.9
The square root of 0.81 is equal to 0.9 or 9/10
--------------
check
0.9 * 0.9 = 0.81
the answer is good
help me graph this plzzzzzz mate
Answers
Answer:
Should look like this
Step-by-step explanation:
y-intercept = 2
slope = 1
Richard buys a balance being priced at 799 shipping and handling or an additional 30% of the price how much shipping and handling will Richard pay
Answers
HELP ASAPPPPPPPPPPP
A: 6 units
B: 4 units
C: 3 units
D: 2 units
Answers
Answer: 4
Step-by-step explanation:
Ella buys a computer for $785 her local tax rate is 7% how much does Ella pay for the computer
Answers
Answer:
$839.95
Step-by-step explanation:
There are 2 ways to go about this. First, the logical method is to calculate the tax and then add it to the price:
7%=7/100=0.07
7% “of” the amount says to multiply. The word “of” in maths means multiply:
0.07×$785=$54.95. The tax is $54.95
The computer costs $785. Plus the tax $54.95: $785+$54.95=$839.95
She pays $839.95 for the computer, including tax.
You can do this calculation in 1 step. If you are like me, I like to do my math as quickly and as efficiently as possible. What we did above is this:
100% of the computer price plus 7% of the computer price to get the total cost taxes in.
100% + 7% = 107%. And 107% = 1.07
So we have the following:
$785×1.07=$839.95
Hope this helps :)
Answer:
$839.95
Step-by-step explanation:
From the question, we are informed that Ella buys a computer for $785 and that her local tax rate is 7%. The amount that Ella pay for the computer, including tax will be:
= $785 + (7% × $785)
= $785 + (0.07 × $785)
= $785 + $54.95
= $839.95
A rectangle measures 2 2/5 inches by 4 1/8 inches. What is its area
Answers
Answer:
A = 9 9/10 sq inches
Step-by-step explanation:
A = lw
A = 12/5 x 33/8
A = 396/40
A = 9 9/10 sq inches
What is an equation of the line that passes through the points (6,-3) and (-6,-5)
Answers
Answer:
y = 6x - 4
Step-by-step explanation:
I drew a graph slope formula is (y2 - y1)/(x2 - x1) and if the line passes through a point that is not zero (in this case it does) we add or subtract that as the y-intercept. we recently passed this so I know it.
Slope-intercept form: (y = mx + b) y = 6x - 4
Standard form: (Ax + By = C) -6x + y = -4
Point-slope form: (y - y1 = m (x - x1)) (let's use the point (6, -3)) y + 3 = 6 (x - 6)
Tell me if I'm wrong :)
Answer:
Step-by-step explanation:
Bu using the formula of Two-Points form:
[tex]\frac{y-y_{1} }{y_{2}-y_{1} } =\frac{x-x_{1} }{x_{2}-x_{1} }[/tex]
Substitute the points in the above equation:
y+3/-5+3=x-6/-6-6
y+3/-2=x-6/-12
-12(y+3)=-2(x-6)
-12y-24=-2x+6
2x-12y-24-6=0
2x-12y-30=0
Or
x-6y-15=0
If you need to ask any question,let me know.
After a baby was born, she began to gain weight at a rate of 1.5 pounds per month. The weight of the baby at birth was 12 pounds. Write an equation for W,W, in terms of t,t, representing weight, in pounds, of the newborn baby tt months after birth.
Answers
What we know:
The baby gains 1.5 pounds per month.
Its weight at birth is 12 pounds.
Therefore, when looking to find the weight after t time, we have to take the constant and the rate of change and place them into the equation. This means our equation will look something like this:
W(t) = Rate of Change x number of months + weight at birth.
Or
W(t) = 1.5(t) + 12
So if in 4 months we look at the weight, the baby will be:
1.5 (4) + 12 = W(t)
6 + 12 = W(t)
18 = W(t)
After 4 months the baby is 18 pounds.
Answer: W(t) = 1.5(t) + 12
I hope this helps! :)
100 POINTS!!!!! WILL GIVE BRAINLIEST!!!!!!!
Show that: (a + bi)^2 = (a + b)(a − b) + 2abi
Answers
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
The equation ( a + bi )² is simplified as A = ( a + b ) ( a - b ) + 2abi
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = ( a + bi )² be equation (1)
On simplifying the equation , we get
A = ( a )² + ( ib )² + 2iab
Now , the value of i² = -1
A = a² + i²b² + 2iab
Substituting the value of i in the equation , we get
A = a² - b² + 2iab
Now , the value of ( a² - b² ) = ( a + b ) ( a - b )
Substituting the values in the equation , we get
A = ( a + b ) ( a - b ) + 2iab
Therefore , the value of A is ( a + b ) ( a - b ) + 2iab
Hence , the equation is ( a + b ) ( a - b ) + 2abi
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
what does coplanar mean?
Answers
Answer:
Step-by-step explanation:
Co-planer
When points are in the same plane it means that the points are co-planer.
Answer:
In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all.
Find the perimeter. Simplify your answer.
Answers
Answer:
28w + 12Step-by-step explanation:
Perimeter = 9w + 1 + 8w + 3 + 6w + 8 + 5w
= 28w + 12...ans
Hope it Helps you!!H,200 feet per hour. What is the speed in miles per hour?
Answers
Answer:
0.0378788 mph is the correct answer here
what is the unit rate of gallons used per minute
Answers
a person whose height is 6 feet is walking away from the base of a streetlight
Answers
there are between 30 and 40 sweets in a bag . ben and daisy share the sweets in the ratio of 4:5. there are no sweets remaining in the bag .
how many sweets were in the bag to begin with
Answers
Answer: 36.
Step-by-step explanation:
4+5 = 9
Mike can type 1/2 page in 1/6 of an hour. What is Mike's rate per hour
Answers
Answer:
4/6
Step-by-step explanation:
change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6
If you made equal monthly payments how much would you need
Answers
Answer:
For example, a borrower takes a $100,000 loan with a 6% annual interest rate for three years.
Step-by-step explanation:
Have a GREAT DAY !
PLS ANSWER QUICKLY What is the best approximation of the solution to the system to the nearest integer values? (7, 0) (0, 6) (7, 1) (1, 7)
Answers
Answer:
0 = 0 = 0 = 0 = 0 < 1 < 6 < 7
0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1 is less than 6 is less than 7
0/
1
= 0/
1
= 0/
1
= 0/
1
= 0/
1
< 1/
1
< 6/
1
< 7/
1
Step-by-step explanation:
Answer:
the correct answer is (1, 7)
Step-by-step explanation:
A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. The balls are then placed in a bag and shaken. A golf pro then selects a ball and hits it. The distance the ball travels is then measured. The bag is shaken again, and the golf pro selects another ball to hit. She continues this procedure until all 80 of the golf balls are hit.
Has the principle of comparison been addressed in this experimental design?
Yes, because the balls are randomly selected, the distances of the new ball can be compared to the distances of the original ball.
Yes, because the original ball type is included in this experiment, the distances the different balls travel can be accurately compared.
No, because a placebo ball was
Answers
The design of the experiment is such that the knowledge of the type of
ball being hit does nit influence the outcome of the experiment.
The correct option is; Yes, because the balls are randomly selected, the distance of the new ball can be compared to the distances of the original ball.Reasons:
The aim of the experiment is to determine if the new type of ball travels farther than the company's previous golf ball.
The design of the experiment is as follows;
Number of the previous golf ball in the experiment = 40
Number of the new type of golf ball used in the experiment = 40
The order in which the ball are selected from the bag = Randomly
The subject of the experiment = A golf pro
The sample size of each sample is larger than 30, and therefore, the
distribution can be taken as approximately normal.
The principle of comparison has been addressed in the experiment
because the golf pro that is subject to the treatment will react more
accurately to the change in the variable, given that, the previous golf ball
serves as a placebo in the study and after all the balls are hit, the distance
travelled by each set can be determined.
The correct option is therefore;
Yes, because the balls are randomly selected, the distance of the new ball can be compared to the distances of the original ball.Learn more experimental design here:
https://brainly.com/question/15549600
https://brainly.com/question/17246426
Help me someone please my teacher needs this soon or I’m going to fail school
Answers
Answer:
A. 9π/3 · 2Step-by-step explanation:
Use the equation of circumference and substitute the value of radius:
C = 2πrC = 2π*3 = 6π inchesCompare the answer choices to find the correct one, which is:
9π/3 · 2 = 3π · 2 = 6π[tex]\\ \sf\longmapsto Circumference=2\pi r[/tex]
[tex]\\ \sf\longmapsto Circumference=2(3)(π)=6\pi[/tex]
Now
Check 1st option
[tex]\\ \sf\longmapsto \dfrac{9\pi}{3}.2=6\pi[/tex]
What is the product? (5r − 4)(r2 − 6r 4) 5r3 − 34r2 44r − 16 5r3 − 4r2 14r − 16 5r3 − 6r − 16 5r3 10r − 16.
Answers
Answer:
5r³ - 34r² + 44r - 16
Step-by-step explanation:
use the distributive property
5r × (r² − 6r + 4) - 4× (r² − 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16
combine like terms
5r³ - 30r² - 4r² + 20r + 24r - 16
5r³ - 34r² + 44r - 16
Hope this helped!!
Answer:
A. 5r3 − 34r2 + 44r − 16
Step-by-step explanation:
What is 25/9 as a mix fraction?
Answers
Answer: 2 7/9
Step-by-step explanation:
Answer: 2 7/9
Step-by-step explanation:
First divide 25 by 9. You should get the answer of 2.7777777777778 which equals 2. Then to find the new numerator, you do 25-(9x2)=7. You keep the original denominator (9) and there it is. 2 7/9.
60 millions barrels and 34% gas and 29% diesel how many barrels are there total
Answers
Answer:
31800000
Step-by-step explanation:
solve the mean of 4,5,3,4,3,1
Answers
Answer:
3.333 recurring
Step-by-step explanation:
Add and divide for the mean
Answer:
refer to the pic attached for steps
What is the base of the expression 6^-4?
Answers
Answer:
The 6 is the base of the expression
Step-by-step explanation:
The base number is the number in front of the exponent.
So [tex]6^{-4}[/tex] the 6 is the base of the expression