Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.
Answer:
Angle B is the linear pairs with 60°, so the size is 180-60=120°
Angle ABC is the linear pair with 120°, so the size is 180-120-60°
Angle A corresponds to angle 60°, so they are equal
Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°
Angle ACB is 180-(50+60) = 70°
Step-by-step explanation:
The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Angle B is the linear pairs with 60°,
so the size is 180-60=120°
Angle ABC is the linear pair with 120°,
so the size is 180-120 =60°
Angle A corresponds to angle 60°,
so they are equal
Angle BAC is the linear pair with angle A and angle 70°,
so 180-(60+70) =50°
and, we have,
Angle ACB is 180-(50+60) = 70°
Hence, The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
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3x-4y=
3x−4y=
\,\,9
9
-5x+4y=
−5x+4y=
\,\,-23
−23
Answer: (7,3)
Step-by-step explanation:
[Please check]: I decoded the equations as follows:
3x-4y=9 and −5x+4y=-23
We can solve this by either of two methods: Algebra and graphing.
Algebra:
Add the two equations:
3x-4y=9
−5x+4y=-23
-2x = -14
x = 7
Use x=7 to solve for y:
3x-4y=9
3(7)-4y=9
21 -4y = 9
-4y = -12
y = 3
----
The solution is (7,3)
======
Graphing:
See the attached graph. The lines intersect at (7,3)
5. A factory produces 1000 cans of juices in 5 days. How many cans will it produce in 15
days?
Answer:
3000
Step-by-step explanation:
Find the perimeter of the rectangle
Answer:
Perimeter: 4x+14
Step-by-step explanation:
The Formula for perimeter is P = 2L + 2W
So apply it:
L = x+7
W = x
[tex]P=2x+2\left(x+7\right)[/tex]
[tex]P=4x+14[/tex]
The age structure of a population is often represented by a pyramid. What does an age structure pyramid with a broad base and a narrow top indicate about a population
Answer:
The shape of the pyramid does not provide information on population growth
1) State the area of the given trapezoid.
5m
5m
8m
4m
A) 20 square meters
B) 26 square meters
C) 32 square meters
D) 40 square meters
Answer:
B
Step-by-step explanation:
5m+5m8m+4m=24m2 of the primeter
The density of silver is 9 g/ cm3ale members of a sports club is 7 : 3. The total number of members of the group is 250. How many members are female? How many members are male?
Answer:
648
Step-by-step explanation:
2=2
What is the approximate solution to this?
How do you write 2,020 in scientific notation?
Answer:
a x 10b or 2.02 x 10³
Step-by-step explanation:
Have a great day!
What is a good estimate for 280% of 30? Explain.
Answer:
84
Step-by-step explanation:
Calculator:280÷100×30=84
Answer:
84
Step-by-step explanation:
if there are 60 millions barrels and 34% gas and 29% diesel how many barrels are there total
Answer:
gas barrels = 20,400,000
diesel barrels = 17,400,000
other barrels = 22,200,000
Step-by-step explanation:
Total barrels = 60,000,000
gas = 34% of the barrels
diesel = 29% of the barrels
others = 37% of the barrels 100% - 34% - 29% = 37%
How many of each type of barrels?
60,000,000 × 34% = gas barrels ; 60,000,000 × .34 = 20,400,000
60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000
60,000,000 × 37% = other barrels; 60,000,000 × .37 = 22,200,000
Check: Total barrels 60,000,000 = 60,000,000
A comic book store is having a sale. You can buy 20 comic books for 35$. What is the cost of 8 books during the sale?
Answer:
$14
No explanation yet.
Answer:
$14
Step-by-step explanation:
14 dollars
How to solve absolute value inequalities khan academy.
Answer:
Step-by-step explanation:
I cant even see anything can you reupload your answer, please?
m = – 3; (2, 2) help pls
Answer:
try maltpling 3 *2*2
Step-by-step explanation:
Please help I don’t understand this
Answer:
The area is 24
Step-by-step explanation:
Divide the quadrilateral into 4 triangles (two identical at the top and two identical at the bottom).
Then find the area of each triangle and add it all together
Area of Triangle= (base x height)/2
(3 x 3)/2 + (3 x 3)/2 + (5 x 3)/2 + (5 x 3)/2
this equation gives us 24 as the area
How many sides does a regular polygon have if each interior angle measures 176^{\circ}
∘
Answer:
90 sidesStep-by-step explanation:
There is a relationship between number of sides and interior angle measure of regular polygons:
S = 180(n - 2), where S- sum of interior angles, n - number of sidesWe have now:
176n = 180(n - 2)176n = 180n - 3604n = 360n = 90It's equilateral polygon
Sum of interior angles=176n.n is no of sides
[tex]\\ \sf\longmapsto (2n-4)90=176n[/tex]
[tex]\\ \sf\longmapsto 180n-360=176n[/tex]
[tex]\\ \sf\longmapsto 180n-176n=360[/tex]
[tex]\\ \sf\longmapsto 4n=360[/tex]
[tex]\\ \sf\longmapsto n=4[/tex]
if angle a = x+33 and angle d = 2x what is angle a
The answer must be standard
If x=5 and y=3 find the value of x+2y
Answer:
x=5
y=3
then ,
x+2y= 5+2 *3
= 5+6
= 10
What is a vector quantity ?
Answer:
Vector, in physics, a quantity that has both magnitude and direction.
Answer:
Vector in physics, a quantity that has both magnitude and direction.
A half gallon of milk costs $1.89. Based on this price, about how much would 12 gallons of milk cost?
Answer:
45.36
Step-by-step explanation:
pleas mark brainlest
Answer:
$22.68
Step-by-step explanation:
$1.89 times 12
factories x squared +5x / 6
Answer:
x(x+5)/6
Step-by-step explanation:
please help me answer this question!
Answer:
equation: y = -5/4xslope: -5/4point: (0, 0)Step-by-step explanation:
The slope is found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(0 -(-4)) = -5/4
slope = -5/4
The second point can be used to keep it simple.
point: (0, 0)
Point-slope equation:
y -0 = -5/4(x -0)
y = -5/4x . . . . . . . simplified
Please help!
Find the difference quotient (f(x + h) - f(x))/h where h ne0 , for the function below . f(x) = 2x ^ 2 - 9 Simplify your answer as much as possible .
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
In this exercise we must apply the definition of derivative, which is described below:
[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)
If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:
[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]
[tex]f'(x) = 4\cdot x[/tex]
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
We kindly invite to check this question on derivatives: https://brainly.com/question/23847661
Translate sum of 4 and the quotient of n and 9
Step-by-step explanation:
The quotient of n and 9:
n / 9Sum of 4 and the quotient:
4 + (n/9)What is hypothesis and axioms?
Answer:
Hypothesis- scientific prediction that can be tested or verified
Axioms- statement which is assumed to be true
Step-by-step explanation:
If there is 1/4 ounces of yeast in every 2 and 1/4 teaspoons and you need 2 teaspoons how many ounces of yeast is needed
Answer:
It's probably 1/4
Step-by-step explanation:
What is the answer to 3) 1 + 4x = −5 + 7x
Answer:
x = 2
Step-by-step explanation:
my bibi’sister need a answer she don't know the answer, she need your help
13. 12008.
14. 59286.
15. 21459.
16. 80478.
17. 130567.
18. 11100.
19. Seventy-two thousand, one hundred eighty.
20. Eighty thousand, seven hundred eighty-six.
Hope This Helps...:)
I NEED HELP ON NUMBER 2 PLEASEEEEE
Answer:
523.5miles
Step-by-step explanation:
Marcus traveled 65mph for 3.5hrs and 74mph for 4hrs. To find his total traveled distance we need to multiply the mph by the number of hours.
65x3.5=227.5mi
74x4=296mi
Add the number of miles together.
227.5+296=523.5miles
Hope this helps :)
wuts x uwu plssss 10 points
−2/9x+2.7=4
Answer:
x = -5.85
Step-by-step explanation:
Solve the equation
1) [tex]-\frac{2}{9} x + 2.7 = 4[/tex]
Subtract -2.7 on both sides by doing the inverse operation.
2) [tex]-\frac{2}{9}x = 1.3\\[/tex]
Multiply both sides by -9/2 to cancel out -2/9x, so that you can isolate "x" by itself.
3)[tex]x = -5.85[/tex]