Answers
x = 180 - 115
x = 65
180 = 65 + 90 + y
180 - 65 - 90 = y
25 = y
Answer:
y° = 25°
Step-by-step explanation:
Given the diagram of a triangle, where it shows an exterior angle with a measure of ∠115°, and that an angle bisector bisects the triangle into two right triangles.
According to the Exterior Angle Theorem, the measure of the exterior angle is equal to the sum of the measures of two non-adjacent interior angles. In other words, the given exterior angle, m∠115° is equal to m∠y° + m∠90°.
Solve for y:Hence, we could simply solve for the value of y algebraically:
m∠y° + m∠90° = m∠115°
y° + 90° = 115°
Subtract 90° from both sides:
y° + 90° - 90° = 115° - 90°
y° = 25°
Double-check:Verify whether we have the correct value for y by solving for x:
Since the exterior angle, ∠115°, and ∠x° are supplements, then it means that:
m∠115° + m∠x° = 180°
115° + x° = 180°
Subtract 115° from both sides:
115°- 115° + x° = 180° - 115°
x = 65°
According to the Triangle Sum Theorem, the sum of the measures of the interior angles of a triangle is 180°.
Hence:
m∠x° + m∠y° + m∠90° = 180°
65° + 25° + 90° = 180°
180° = 180° (True statement).
Therefore, the correct answer is: y = 25°. This measure represents either one of the ∠y.
Related Questions
Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have?
Answers
9514 1404 393
Answer:
16 nickels
Step-by-step explanation:
Robert can group his coins into groups consisting of 1 nickel and 4 pennies. The value of each group is 9¢, so the number of groups Robert can make is ...
$1.44/$0.09 = 16 . . . groups
Since there is 1 nickel in each group, Robert has 16 nickels.
Answer:
16
Step-by-step explanation:
a box can take 12 pencils. If 156 pencils are packed into such boxes, how many boxes will be fully packed
Answers
A box=12 pencils
156 boxes =?
156÷12=13 boxes
do anyone know what’s the answer to this problem ?
Answers
i tried to explain it best i could in the picture
Help me answer 5d, thank you!
Answers
Answer:
5. is III. Since there is a vertical asymptote at x= -3 and hole at x=0
Highland Park is located between two parallel streets, Walker street and James Avenue. The park faces Walker Street and is bordered by two brick walls that intersect James Avenue at point C, as shown below. Walker St. Highlands Park brick wall brick wall 60 James Ave. What is the measure, in degrees, of ZACB, the angle formed by the park's two bri walls?
Answers
Applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.
Recall:
Alternate angles are congruent and have equal angle measures.Angles on a straight-line = 180 degrees.The diagram showing the information and sketch of the Highland Park is attached below (see attachment).
Thus:
m<BAC = 36° (given)
m<BCE = 60° (given)
<ACD = <BAC (alternate angles)
Therefore,m<ACD = 36°
m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)
Substitutem<ACB = 180° - (36° + 60°)
m<ACB = 84°
Thus, applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.
Learn more here:
https://brainly.com/question/15234579
If 20% of a number is 28 and 25% of the same number is 35, find 45% of that number.
Answers
explanation: 20% + 25% = 45% and 20%= 28
25%= 35
thus, 28 + 35 = 45% = 63
please help!
15 - (-20)
Answers
How many times does 1/14 go into 6/7
Answers
Answer:
uhhhh 12 times i believe
If Keegan has 15 nickels and quarters in his pocket, and they have a combined value of 195 cents, how
many of each coin does he have?
__quarters
__nickels
Answers
Answer:
7 Quarters and 4 Nickels
Step-by-step explanation:
basically, Since a Quarter is worth 25 cents and a Nickel is worth 5 cents, You can do 25x7=175 and 5x4=20 then add 175+20 and then you get 195.
Hope I could help! :)
What is the slope of the line that passes through each pair of points in (-4,-1),(-4,-5)
Answers
Evaluate the expression
-4-4i /6i and write the result in the form a + bi.
Answers
Answer:
-(2/3) + (2/3)i
Step-by-step explanation:
( -4 - 4i) / 6i
multply by i/i
(-4i - 4i^2) / 6i^2
since i^2 = -1
(-4i + 4) / -6
(4 - 4i) / -6
Reduce fraction
-(2/3) + (2/3)i
Which number line best shows how to solve −8 − (−6)?
PLEASE ANSWER!!!
(look a picture for more details)
Answers
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]-8-(-6)[/tex]
[tex]=-8-(-6)[/tex]
[tex]=-8+6[/tex]
[tex]=-2[/tex]
The answer is B.
Here's a graph photo!
Hopefully, this helps you!!
[tex]Sokka[/tex]
The table above shows the number of each type of plant in Robert's garden. What is the ratio of the total number of plants in Robert's garden to the number of tomato plants?
Answers
Answer: C.
Step-by-step explanation:
Total number of plants in Robert's garden = 8 + 4 + 16 + 22
= 50
Number of tomato plants in Robert's garden = 8
Ratio of total number of plants to the number of tomato plants = 50 : 8
Simplify
50 : 8 = 25:4
Which statement is true?
Answers
Hope this helped!!
Simplify -3(xy + 2y) + 5y - x.
Answers
Answer:
Step-by-step explanation:
-3 (xy+2y)+5y-x
-3xy-6y+5y-x
-3xy-y-x
68% of US adults have very little confidence in newspapers you randomly select 10 US adults find the probability that the number of US adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, (c) less than four.
Answers
Answer:
A) 12.29%
B) 81.33%
C) 1.55%
Step-by-step explanation:
This is a binomial model, and I assume you're meant to use a calculator to solve.
A)
This is what I have in my notes for the binompdf function:
binompdf(n, p, x) - find the probability of exactly x successes in n trials given p probabilityThat is exactly what we want in this case, we're looking for exactly 5 people who meet the conditions (successes) given n trials and p probability.
Using a calculator:
binompdf(10, 0.68, 5) ≈ 0.1229
That means you have about a 12.29% chance to randomly select exactly 5 adults who have little confidence in newspapers.
B)
For this one, use the binomcdf function:
binomcdf(n, p, x) - find the probability of x or fewer successes in n trials given p probabilityIn this case, we're looking for more, not less. However, you can think of the probability of getting more than 6 as just the probability of not getting less than 6.
With a calculator:
binomcdf(10, 0.68, 5) ≈ 0.1867
That means you have about an 18.67% chance to randomly select 5 or less people. We're looking for more though. As said above, the probability of getting 6 or more is just the probability of not getting 5 or less. To find the probability of something not happening, just subtract the probability from 1.
1 - 0.1867 = 0.8133
An 81.33% chance to randomly select at least 6 adults who have little confidence in newspapers.
C)
Same as the above, I don't see a need to explain it all again. Use binomcdf:
binomcdf(10, 0.68, 3) = 0.0155
Notice I used 3 rather than 4. binomcdf calculates x or fewer, or 'rather less than or equal to'. We want just 'less than 4', and that means 'less than or equal to 3'.
That's a 1.55% chance to select less than 4 adults with little confidence in newspapers.
Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have?
Answers
can this problem be solved using the unitary method?yes or no.An oven has a maximum temperature of 220°c.what will it be in 2 days time
Answers
Answer:
yes 25 :)
I'm sorry if I'm wrong
p l s… h e l p… m e…
Match the unknown entries in the two matrices with their correct values
Answers
Answers:
v = 54y = 0u = 6w = -48x = -1===================================================
Explanation:
The left hand side is
[tex]-6\begin{bmatrix}3 & -1 & 3\\8 & x & -9\\4 & -1 & y\end{bmatrix}[/tex]
That -6 outside the matrix is multiplied with each item inside the matrix. This is known as scalar matrix multiplication. Effectively, it's very similar to the idea of the distributive property.
So for the first row, we have the three columns of: -6*3 = -18 and -6*(-1) = 6 and -6*3 = -18
The other two rows are handled the same way. This is what should result:
[tex]-6\begin{bmatrix}3 & -1 & 3\\8 & x & -9\\4 & -1 & y\end{bmatrix}= \begin{bmatrix}-18 & 6 & -18\\-48 & -6x & 54\\-24 & 6 & -6y\end{bmatrix}[/tex]
From here, you'll then match up the terms in the given right hand side matrix. The top row has the variable 'u' in the middle, which matches with the '6' in the middle of the top row shown. Therefore, u = 6.
-----------------------------
Now to the second row.
The -48 in the first spot pairs up with the w in the other matrix. So we can see that w = -48. Similarly, we have v = 54.
Also, we have -6x in the middle which matches with the 6 in the same corresponding spot. Solving -6x = 6 leads to x = -1.
-----------------------------
Finally, the third row.
There's only one variable here and that's the variable y in the bottom right corner. It pairs up with 0 in the same corresponding spot for the right hand side matrix. Therefore, y = 0.
pa sagot po ty po sa sasagot
Answers
Answer:
An account-ant
Step-by-step explanation:
Help !!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
One must rearrange the function to decreasing value of exponents
f(x) = -7x⁴ + 8x³ - 3x² - 9x + 11
to see that it is a 4th degree polynomial with leading coefficient of -7
Simplify this equation
Answers
Answer:
I think the answer might be 12x⁷
Look at attached photo. Will give brainiest to correct answer. Trigonometry.
Answers
Answer:
Step-by-step explanation:
Brainiest fastest answer no link or bot or I report you I report you if you report me
Answers
I did this really quick so I hope all the answers are right, and double check them if you have time just in case
Write an equation of a line with an x-coefficient of - 3 and a y-intercept of 7
Answers
Answer:
y = -3x + 7
Step-by-step explanation:
For an equation in the format y = ax + b, a is the coefficient of x, and b is the y intercept.
How do you evaluate (-12)3
Answers
Step-by-step explanation:
-1728 y'all i do by using calculator and it is correct
Answer:
its -1728
Step-by-step explanation:
i worked it out right.
Can someone tell me what’s going on here
Answers
Answer:
c = 105 degres
Step-by-step explanation:
When two lines cross like that and form an x, the opposite sides are equal (so the angle below the 75 degree one is also 75 degees). Using this, you can figure out the rest.
If both the top an bottom are equal, you know that 150 degres are taken (75+75) and you know that there can only be 360 degres in total here, so you subtract 150 from 360 and get 210. Now you know that the last two sides together are 210, and since they are equal, you divide it by two to get 105 degrees.
Consider the following equation:
5x+4y=−3
Determine if the given ordered pair, (1,−2), satisfies the given equation
yes or no
Answers
Answer:
(1, - 2 ) is a solution
Step-by-step explanation:
Substitute the coordinates into the left side and if equal to the right side then the ordered pair is a solution.
5(1) + 4(- 2) = 5 + (- 8) = 5 - 8 = - 3 = right- side
Then (1, - 2 ) is a solution of the equation
Jill had some candy to give to her five
children. She first took seven pieces for
herself and then evenly divided the rest
among her children. Each child received
five pieces. With how many pieces did
she start?
Answers
Explanation: If she had 5 children and each child received 5 pieces, you can determine that she gave her children a total of 25 pieces because 5 x 5 = 25. If she took 7 pieces for herself before giving the rest away, you can determine that she had 32 pieces of candy to start with because 25 + 7 = 32.
Forty six minus twenty
Answers
Answer:
26 po hahahahahahahahahahaha