Answer:
Step-by-step explanation:
a. we konw triangle have 180°
b. A straight line have 180°, so
∠abc=180-5x-12=168-5x,
∠bca=180-10x+37=217-10x
∠cab=180-9x-1=179-9x
then add them all 564 - 24x = 180
c.384=24x, x=16
d.so ∠bca=217-10·16=57.
Answer:
m∠BCA = 57°-------------------------------------------
Sum of exterior angles is 360°:
9x + 1 + 5x + 12 + 10x - 37 = 36024x - 24 = 36024x = 384x = 384/24x = 16The exterior angle at vertex C is:
10x - 37 = 10*16 - 37 = 160 - 37 = 123The ∠BCA is the linear pair with 123°:
m∠BCA = 180° - 123° = 57°What is the sum of interior angles of triangle?
a) 360°
b) 100°
c) 180°
d) 200°
Answer:
c) 180
Step-by-step explanation:
each angle of the triangle is 90
Answer:
the answer is c. 180° :))
Solve the system of equations using subtraction.
2x-6y = -2 - 2y
-6x - 4y = -38 -2x
Answer:
y=7/2 and x=6
Step-by-step explanation:
2x−6y=−2y−2 can be turned into x=2y−1.
Now you can substitute the equations.
−6x−4y=−2x−38
−6(2y−1)−4y=−2(2y−1)−38
Then you can simplify.
−12y+6=−36
−12y=−42
y=7/2
Then you can substitute y to find x.
x=2y−1
x=2(7/2)-1
x=6
And then our answers are y=7/2 and x=6.
Hope this helped! :)
3
1
3
19 -3
to get 75 13)?
Which matrix post multiplies to
4
Answer:
Please dont delete
Explanation:
Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!
Which of these leg lengths on a right triangle would create a hypotenuse length of √13?
Answer:
A
Step-by-step explanation:
2^2 and 3^2 = 4 + 9 = 13
9. The expression (xn)(x5)3 is equivalent to x30. What is the value of n?
Answer: N= x24 over 3
Step-by-step explanation:
Solve the equation for x, explain how you found the solution. pls help me
2x + ½= 8
pls help with math!!!!
Answer:
Cubic
Step-by-step explanation:
It's cubic because the 3 on top of the n means that it's cubic. Also since it's cubic, when you graph it it will show that it's a cubic function. Hope this helps!
Jack, Marta, Rand, Todd and 6 more students went apple picking. Every two of these 10 students pick a different number of apples. Combined, the ten students pick 45 apples. Suppose Jack and Marta pick a total of 16 apples; Marta and Rand pick a total of 15 apples; Rand and Todd pick a total of 13 apples. How many apples did Todd pick
So, Todd picked 1 apple.
We can use the information given to set up the following equations:
Let x be the number of apples Jack picked, and y be the number of apples Marta picked.
We know that x + y = 16 (Jack and Marta pick a total of 16 apples)
Let y be the number of apples Marta picked, and z be the number of apples Rand picked.
We know that y + z = 15 (Marta and Rand pick a total of 15 apples)
Let z be the number of apples Rand picked, and w be the number of apples Todd picked.
We know that z + w = 13 (Rand and Todd pick a total of 13 apples)
We know that the total number of apples picked is 45, therefore x + y + z + w = 45
We can use the equation x + y = 16 to express x in terms of y:
x = 16 - y
We can substitute this into the other equations
(16 - y) + y = 16
y + z = 15
z + w = 13
We can sum all the equations:
(16 - y) + y + y + z + z + w = 45
16 + 2y + 2z + w = 45
From the equation y + z = 15, we can substitute y = 15 - z
16 + 2(15 - z) + 2z + w = 45
16 + 30 - 2z + 2z + w = 45
46 + w = 45
w = 1
Therefore Todd picked 1 apple.
To learn more about algebra
visit; brainly.com/question/24875240
#SPJ4
can someone check my answer & explain?
Answer:
The answer should be 3 cubic cm
Step-by-step explanation:
First you have to get the area of the right triangle base 1/2 bh. That would be 2x3/2=3
To find volume, you plug the area in the volume formula
v=1/3 ah
v=1/3 (3)(3)
1/3(9) would be 3 cubic cm
Mr.Rotich decided to honour top 3 students in Mathematics by sharing sh 12000 in the ratio 6:5:x for the first,second and third student respectively.if student number 2 got sh 4000,find the value of x
Answer:
4
Step-by-step explanation:
Given data
Number of student= 3
Total amount= 12000
Ratio= 6:5:x
Combined ratio= 6+5+x= 11+x
Applying the part to all method
if student number 2 got sh 4000
then
5/11+x= 4000/12000
5/11+x= 1/3
cross multiply
11+x= 15
x= 15-11
x= 4
Hence the value of x is 4
Who can solve these equations?
let's hmmm hmmm multiply both sides by the LCD of all denominators, that way we do away with the denominators and see what "x" is
[tex]\cfrac{x+1}{2}+\cfrac{x+2}{3}=3-\cfrac{x+3}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{x+1}{2}+\cfrac{x+2}{3} \right)=12\left( 3-\cfrac{x+3}{4} \right)} \\\\\\ (6x+6)+(4x+8)=36-(3x+9)\implies 10x+14=36-3x-9 \\\\\\ 10x+14=27-3x\implies 10x=13-3x\implies 13x=13 \\\\\\ x=\cfrac{13}{13}\implies x=1 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{1-4x}{10}-\cfrac{2x+1}{2}=\cfrac{5x+1}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{1-4x}{10}-\cfrac{2x+1}{2}\right)=10\left( \cfrac{5x+1}{5} \right)} \\\\\\ (1-4x)-(10x+5)=10x+2\implies 1-4x-10x-5=10x+2 \\\\\\ -14x-4=10x+2\implies -4=24x+2\implies -6=24x \\\\\\ \cfrac{-6}{24}=x\implies -\cfrac{1}{4}=x[/tex]
Help please!!! Fine the inverse for each relation
Answer:
1. (-3,1) (3,-2) (1,5) (4,6) 2. (7,-5) (-8, -6) (-2,1) (3,10)
Step-by-step explanation:
To find the inverse of ordered pairs you need to switch their orders. For example, given (-2, 5) and told to find the inverse, your answer would be (5, -2).
Convert 12/25 and 15 /35
Answer:
12/25 = .48
15/35 = .42857143...
What is the total area, in square inches, of the shaded sections of the trapezoid
below?
5.4 in
7.9 in
4.8 in
5 in
Select the correct answer.
Which piece of information is listed in the income section of a tax return?
A dependent care expenses
B.
dividends
OC. retirement plan contributions
OD
student loan interest
9514 1404 393
Answer:
B. dividends
Step-by-step explanation:
You're looking for an income item.
Expenses, contributions, and loan interest are amounts paid, not amounts received. The only income item listed is "dividends."
There are 181 students going on a college field trip.
11 students ride in cars
The rest of the students fill 4 buses.
Enter an equation that can be solved to find the number of students, s, that are on each bus.
Enter your response in the first response box.
Enter the number of students that are on each bus.
Enter your response in the second response
box.
It’s due today please help!!
Answer:
42.5 (students that are on each bus)
Step-by-step explanation:
181 (students)-11 (students in cars) =170 students left
170(students left)÷4(buses)= 42.5(students that are on each bus)
Hope this help you
Santiago has 5 11/16 cups of dough to make dumpling. If he uses 13/16 cups of dough for each dumplings how many dumplings can santiago make?
Santiago can make 7 dumplings
To find out how many dumplings Santiago can make, we need to divide the total amount of dough (5 11/16 cups) by the amount of dough used per dumpling (13/16 cups).
To do this, we can first convert the fractions to have a common denominator. In this case, the denominator of 13/16 is 16, so we can convert 5 11/16 to have a denominator of 16 as well:
5 11/16 = (5 * 16) + 11/16 = 80 + 11/16
Now we can divide:
(80 + 11/16) ÷ (13/16) = (80 + 11) ÷ 13 = 91 ÷ 13
So Santiago can make 91/13 dumplings. This can be simplified further to 7 dumplings. So Santiago can make 7 dumplings with 5 11/16 cups of dough.
Learn more about fractions and measurement conversions. here: https://brainly.com/question/141163
#SPJ4
HELP PLZ!!!
C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
C=5/9F−5/9(32)
you can see the slope of the graph is 5/9, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9 of 1 degree Celsius. Therefore, statement I is true.
This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5 degrees Fahrenheit. Since 95 = 1.8, statement II is true.
On the other hand, statement III is not true, since a temperature increase of 9/5 degrees Fahrenheit, not 5/9 degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.
The final answer is D.
Find the measure of the exterior 21.
60°
7
25
Answer:
A 85 hope it helps you
thank you
No links plz! Will mark brainliest if correct!
Answer:
(m-4) / (5m)
Step-by-step explanation:
((m²-16) / (5m)) / (m+4) =
(m²-16) / (5m(m+4)) =
m²-16 / (5m²+20m) =
(m-4) / (5m)
image below someone help me i will give brainliest
Which of these expressions is equivalent to log (15/7)
Answer:
log(15)-log(7)
Step-by-step explanation:
just trust me cuh
Which triangle is triangle MNO similar to and why?
Answer:
triangle GHK
Step-by-step explanation:
angles add up to 180
angle N + angle M + angle O = 180
79 + 22 + angle N = 180
180 - 79 -22 = angle N = 79
triangle GHK has 2 of the same angles (79 and 79), so that is our answer
Find the surface area and volume for this following pyramid
We calculated volume of pyramid = 160 cubic inches and surface area = 214.59 square inches.
what is pyramid?
A three-dimensional geometrical figure having flat polygon base along with a number of lateral triangular shaped faces.
How to calculate the volume and surface area of the pyramid?The given pyramid is a rectangular pyramid having length 10 inch and width 8 inch. The height of pyramid is 6 inches.
length, l = 10 inch
width, w = 8 inch
height, h = 6 inch
Now the volume will be, V = 1/3 × l × w ×h
V = 1/3 × 10 × 8× 6
hence, the volume = 160 cubic inches
We calculate the surface area of the given pyramid,
formula for surface area, SA = l × w + 1/2 × w ×√(4h²+l²) + 1/2 × l ×√(4h²+w²)
SA = 10 × 8 + 1/2 × 8 ×√(4×6²+10²) + 1/2 ×10×√(4×16²+8²)
Surface area = 214.593 square inches
To learn more about Pyramid visit:
https://brainly.com/question/14013519
#SPJ1
How do you write an expression in factored form?
To write an expression in factored form, its products needs to be deduced.
What is an expression?
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Factoring is the process of representing a given number or algebraic statement as the product of its components.
For example - Consider the binomial 3x^2-9x.
On simplifying it -
3x^2-9x = 3x(x-3)
So, here 3x^2-9x is the expanded form and 3·x·(x-3) is the factored form.
Another example is - Consider y^2-100.
The terms used here can all be expressed as squares.
y^2 − 100 = y^2 − 10^2
(y + 10)(y − 10)
The factors in this case are (y + 10) and (y - 10).
Therefore, the products are the factors of an expression.
To learn more about expression from the given link
https://brainly.com/question/1859113
#SPJ4
Find the difference of (2x2 – 5x + 7) - (7x2 + 3)
Answer:
[tex]{\small{\boxed{\sf{\red{here \: is \: your \: solution..}}}}} \\ \\ {\small{\boxed{\sf{\purple{ = (2x {}^{2} - 5x + 7) - (7x {}^{2} + 3) }}}}} \\ \\ {\small{\boxed{\sf{\purple{ = 2x {}^{2}- 5x + 7 - 7x {}^{2} - 3 }}}}} \\ \\ {\small{\boxed{\sf{\pink{ = - 5x {}^{2} - 5x + 4 }}}}} \\ \\ [/tex]
[tex]\small\mathfrak\green{hope \: it \: helps... |...| }[/tex]
(a-b)(a+2)-(a+b)(a-2)
combine like terms:
Answer:
20x²
-5xy
14y²
Step-by-step explanation:
17x² + 3x² = 20x²
-3xy - 2xy = -5xy
14y²
What is the perimeter?
Help plz...
And No links!! I repeat No links!!
Step-by-step explanation:
soln:
In right-angled triangle,
hypotenuse (h)=20mm
base(b)=12mm
perpendicular (p)=?
Now,using Pythagoras theorem,
h^2=p^2+b^2
or, 20^2=p^2+12^2
or,400-144=p^2
or,p=√256
thus,p=16mm
Now,
perimeter= sum of all three sides
i.e. p=20+12+16=48 Ans
Find the exact values of sin (-pi/12)
I showed the solution and the answer on a piece of paper in the photo
Answer:
[tex] - 0.25881904[/tex]
Step-by-step explanation:
Use the identity
[tex] \sin( - x) = - \sin(x) [/tex]
so
[tex] \sin( - \frac{\pi}{12} ) = - \sin( \frac{\pi}{12} ) [/tex]
Use angle subtraction trig formula
[tex] \sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y) [/tex]
In order to get pi/12, we can subtract
pi/4 and pi/6.
[tex] \sin( \frac{\pi}{4} - \frac{\pi}{6} ) = \sin( \frac{\pi}{4} ) \cos( \frac{\pi}{6} ) - \cos( \frac{\pi}{4} ) \sin( \frac{\pi}{6} ) [/tex]
Simplify.
[tex] (\frac{ \sqrt{2} }{2} \times \frac{ \sqrt{3} }{2}) - ( \frac{ \sqrt{2} }{2} \times \frac{1}{2} )[/tex]
[tex] \frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4} [/tex]
[tex] \frac{ \sqrt{6} - \sqrt{2} }{4} [/tex]
which is about
[tex]0.25881904[/tex]
Remeber our sin is negative so our answer is
[tex] - 0.25881904[/tex]