Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle
13x - 11 + 4x + 1 = 18x - 15 add like terms
17x - 10 = 18x - 15
- 10 + 15 = 18x - 17x
5 = x
measure of angle A 13x - 11 ➡ 13 × 5 - 11 = 54°
measure of angle B 4x + 1 ➡ 4 × 5 + 1 = 21°
measure of angle C 18x - 15 ➡ 18 × 5 - 15 = 75°
Choose the simplified answer for this expression.
3(q + 1) - 4
A: 3q - 1
B: 3q + 7
C: 3q - 4
D: 3q + 3
Answer:
A
Step-by-step explanation:
If you simplify, you get: 3q+3-4
Simplify more: 3q-1
most simplified.
PS You get 3q+3 by using the distributive property
Which two changes are caused by shear acting on Earth's crust?
Answer:
Two slabs of rock slide past one another
one slab of rock breaks into two peices
Step-by-step explanation:
The two changes caused by the shear on the earth crust are; A: One slab of rock breaks into two peices. C: Two slabs of rock slide past one another;
How to describe the shear acting on Earth's Crust?
Shear stress usually occurs when two plates rub against each other as they move in opposite directions.
Now, when shear stress occurs on the earth's crust, the force generated by the stress tends to push some of the crust in different directions. This would mean that a large part of the crust can break off, which makes the plate size smaller.
Thus, when a shear stress acts on the earths' crust, One slab of rock breaks into two peices. C: Two slabs of rock slide past one another;
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help me asap thanks ! :)
Answer 145°
Step-by-step explanation:
( 5x+5 ) + 40° = 15x - 5
[ Reason : exterior extended angle of a triangle is always equal to the sum of two non adjacent interior angles ]
( 5x+5 ) + 40° = 15x - 5
i.e, x= 10°
put this value of x on <PGF
= 15x - 5
= 15 * 10 - 5
=145°
Evaluate each value expression for the given value of the variable : 40-9y when y=2
FAST!!!!!!!!!
What is the solution to the system of equations shown below?
4x-y=-8
y=2x+2
Answer: (-3,-4)
Step-by-step explanation:
4x-y=-8
y=2x+2
4x-(2x+2)=-8
2x-2=-8
y=2x+2
x=-3
y=2(-3)+2
y=-4
x=-3 , y=-4
Evaluate each value expression for the given value of x: 2x+10, x=7
Answer: 24
Step-by-step explanation: Here, we have the expression 2x + 10,
and we want to evaluate the expression when x = 7.
To an evaluate an expression, we simply plug
the value of the variable into the expression, and solve.
So here, since x = 7, we have 2(7) + 10.
2(7) is equal to 14 so we have 14 + 10 which is equal to 24.
So the value of our expression when x = 7 is 24.
perimeter = 36 calculate
the value of x when x-2 in
square
Answer:
11
Step-by-step explanation:
36/4 = 9
9 = x-2
x = 11
Step-by-step explanation:
Perimeter = 36
length = x - 2
Perimeter of a square = 4 × length
36 = 4(x - 2)
dividing through by 4:
9 = x - 2
hence:
x = 9 + 2 = 11.
Liam draws a pattern of shapes. The first shape is a triangle. Each shaple in the pattern has 1 more side than the shape before it. What could be the third shape in Liam's pattern?
Answer:pentagon
Step-by-step explanation:
triangle has 3
square has 4
pentagon has 5
A 12 volt battery is connected to two resistors in series. The first resistor has a resitance value of 5 Ohms and the current through the circuit is 1.5 Amps. What is the value of the second resistor?
a
9 Ohms
b
1.5 Ohms
c
5 Ohms
d
3 Ohms
Answer:
3 Ohms
Step-by-step explanation:
U1 = 5 ohm × 1.5 amps = 7.5 V
U2 = U - U1 = 12 - 7.5 = 4.5 V
R2 = U2 / I = 4.5 / 1.5 = 3 Ohms
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
“I think of a number, take away 1 and multiply the result by 3."
Answer:
X-1=X×3
Step-by-step explanation:
it's pretty easy you just got to be focus
you can ask for help anytime
Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −x+4y=20? Drag each choice into the boxes to correctly complete the table.
Answer:
Parallel: -x+4y=8
Perpendicular: 4x+y=-1, y=-4x-3
Neither: y= -(1/4)x+6
Step-by-step explanation:
Verified correct with test results.
Amanda’s dog eats 12 1/2 pounds of dog food in 3 weeks. How much does Amanda's dog eat each day? Leave your answer as a fraction.
If < ABC forms a linear pair with < CBD, use the linear pair postulate to determine the value of X. Then find the measure of each angle.
X = _____ ??
m < ABC _____ ??
m < CBD _____ ??
Please help! I’ll give brainliest!!
Step-by-step explanation:
2x+13x-15=180 since a linear pair is a pair of consecutive angles that adds up to 180 degrees.
15x-15=180 because we combine like terms.
15x=165 because of the subtraction property of equality.
x=11 by the division property of equality.
abc=22 by substitution and multiplication
cbd=143-15 by substitution and multiplication
cde=128 by subtraction
Answer all this.plz again
Answer:
BC=7 cm
Step-by-step explanation:
Algebra 2 question on matrices. Please help!!
Solve the system of equations below using matrices.
Answer:
(1,-2)
Sorry I don't have time to show the work rn, I hope this helps though
Answer:
Step-by-step explanation:
2,1 answer is A
EASY MATH QUESTION HELP! Under the Angle Addition Postulate, which equation would be valid?
What is true about angles 2 and 7 in the picture below?
Answer: Whats True about 2 angles and 7 anglesis that They are not the same number and one of them is less and great
Step-by-step explanation: This is not a easy math question.
Which table shows a constant rate of change
please answer!
Answer: Feet to yards, all other are inconsistent.
Step-by-step explanation:
HELP PLS WILL MARK BRAINLIEST!!!!!!!!!!!!
Write the equation of the line that has the indicated slope and y-intercep
Slope = 2; y-intercept is (0,5)
Hurry I need this nowwww
Answer:
y = 2x + 5
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = 2x + b Insert Slope
Step 3:
5 = 2 ( 0 ) + b Input x and y values
Step 4:
5 = b Multiply
Answer:
y = 2x + 5
Hope This Helps :)
Determine the average rate of change of the function over the interval (-7, ) x ( ,3)
Answer:
as always, the rate of change is ∆y/∆x. In this case, that's
(127-95)/(3-1) = 16
Step-by-step explanation:
Consider polynomial function f(x)=(x-1)^2(x+3)^3 (+1) Use the equation to complete each statement about this function.
Answer:
I got you my man
Step-by-step explanation:
Blank 1: 2
Blank 2: 3
Blank 3: 1 only
The blanks will have values 2, 3, and 1 respectively.
What is zero of a function?Zero of a function is defined as the roots of the function for which the value of the function will be 0 at those points.
If p is the zero of the function f(x)=0 then f(p)=0.
We have,
f(x) = (x-1)² (x+3)³ (x+1)
Now,
The zero is located at x=1 and has a multiplicity of 2.
Because the number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity.
The zero is located at x = - 3 and has a multiplicity of 3. The graph of the function will touch, but not cross, the x-axis at the x - the value of 1.
The complete question is given below:-
Consider polynomial function f f(x)=(x-1)^2(x+3)^3(x+1)
use the equation to complete each statement about this function
The zero located and x=1 has a multiplicity of __ and the zero located at x=-3 has a multiplicity of __. The graph of the function will touch, but not cross, the x-axis at the x-value of __.
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What is the slope intercept equation for thus line?
Answer:
y= 2/3 x + 4
y- intercept= (0,4)
and slope of the line is 2/3
Answer:
B.
Step-by-step explanation:
y = mx + b
The y-intercept is the point (0, 4), so you get b = 4
You now have
y = mx + 4
Now start at the y-intercept, (0, 4). Go up 2 units and right 3 units to a point on the line; rise = 2; run = 2.
slope = m = rise/run = 2/3
Now you have
y = 2/3 x + 4
Answer: B.
Given that AD is the perpendicular bisector of BC, AB=21.3, AC=21.3, and DC=9.1, identify BC.
a) BC = 42.6
b) BC = 18.2
c) BC = 9.1
d) BC = 4.55
sorry i can't upload a picture of the triangle but this is from an luoa assignment. i know it's not C
answer. B hope this helps
The length of BC is 18.2 units.
The correct answer is option b) BC = 18.2.
Since AD is the perpendicular bisector of BC, it divides BC into two equal segments. Let's call the point of intersection between AD and BC as M. Therefore, BM = MC.
According to the given information,
AB = AC = 21.3. Since AD is the perpendicular bisector of BC, it implies that AM is equal to MC.
Therefore, AM = MC = BC/2.
We are also given that DC = 9.1. Since MC = DC, we can conclude that BC/2 = 9.1.
To find BC, we can multiply both sides of the equation by 2:
BC = 2 x 9.1
BC = 18.2.
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If the graph of y=|x| is compressed vertically by a factor of 1/3, reflected about the x-axis and translated 3 unit(s) left and 5 unit(s) up, what is the equation of the new graph?
Answer:
Y= -1/3 |x+3| +5
Step-by-step explanation:
An absolute value will always make a V line.
In your particular problem it wants you to reflect it over the x axis, and to do this you simply need to place a negative.
A negative in the beginning of the problem is only there to say whether you flip your line or not, and this means you don't have to worry about it any more.
What it looks like so far: Y= -
Next it wants you to compress the line vertically by 1/3
A number that causes your line to compress is always less than one
A number that stretches your line would be 1 or more
This number is always placed right next to the left of the parenthesis or absolute value.
What it looks like so far: Y= - 1/3
Now we want the line to move left 3 units.
We are now inside of the absolute value because this is where we move the line left or right. This can get a little confusing, but once you get it then you don't forget it.
Inside the line.. a -# moves right and a +# moves left.
This number should be placed inside the absolute value and to the right of the x.
What it should look like: Y= - 1/3 |x + 3|
Now they want us to move the line up by 5 points.
To the outer right side of the absolute value is where we move things up or down.
To move a number up you need to place a + sign with however many places it wants you to move to the right of the sign, but to move the line down you need to place a - sign with however many places it wants you to move to the right of the sign.
To move this up you simply need to place a +5 to the outer right side of the absolute value.
What you should end up with: Y= - 1/3 |x+3| +5
Please help thank you so much
Answer:
yes
when the point is pugged into the equality, it works
Please help... The legs of an isosceles right triangle are 5 inches long. What is the length of the hypotenuse of the triangle to the nearest inch?
A. 7 in
B. 10 in
C. 25 in
D. 50 in
Solve |1 - 4x| > 7
I need help pls
Answer:
the answer is 28
Step-by-step explanation:
Cual temperatura es mas caliente ( 25°C , 280°K ó 40°F)
Answer:
25 Celsius es igual a 77 F, 77 es mas grande que 40 F
Step-by-step explanation:
Espero que la info. ayude
El símbolo de grado no se usa para informar la temperatura usando la escala Kelvin, sino que se indican como Kelvin. El agua hierve a 100 grados Celsius o 212 grados Fahrenheit, o 373,15 Kelvins. El agua se congela a 0 grados Celsius o 32 grados Fahrenheit, o 273,15 Kelvins. El cero absoluto es 0 Kelvin.
Can someone please help me!! If you r correct ill mark u as the best answer choice!
If point (1,0) is on the line whose equation is y=2x+b, what is the value of b?
Answer:
-2
Step-by-step explanation:
Here we just need to substitute the values in. 0=2(1)+b.
2(1)=2
0=2+b
-2 -2
-2=b
Hope this helps :-)