Answer:
[tex]\huge\boxed{m\angle P = 94\textdegree}[/tex]
Step-by-step explanation:
In order to answer this question, we need to note a couple of things about the angle relationships in a pentagon.
A) The sum of the measures in a pentagon will be 540° (We know this because the angle sum formula tells us that an n sided polygon angles will have a sum of [tex](n-2) \cdot 180[/tex] - 180 * 3 = 540).B) Equations can represent angle measures, added together will help us determine their value.Since we know the sum of all of the angles will be 540, we can create an addition statement to find out the value of x.
[tex]132 + (4x-10) + (5x-11) + 128 + (4x+2)=540[/tex]
Let's solve for x.
Combine the angles we already know:[tex]132 + 128 =260[/tex] Combine like terms: [tex]260 + 13x - 19=540[/tex] Add 19 to both sides, subtract 260 from both sides: [tex]13x =299[/tex] Divide both sides by 13: [tex]x = 23[/tex]Now that we know the value of x, we can substitute it into the expression for point P ([tex]4x+2[/tex]) to find it's value.
[tex]4 \cdot 23 + 2[/tex] [tex]92+ 2[/tex] [tex]94[/tex]Therefore, the angle of measure P is 94°.
Hope this helped!
Please help, I have no clue how to answer this.
Answer:
74-2c
Step-by-step explanation:
you know that craig's age is c. You multiply c by two, which is twice craig's age. Then you subtract that from c.
What is the slope of a line that is perpendicular to the line in the graph?
Answer:
The slope of the required line is 1
Step-by-step explanation:
The Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The graph shows a line whose slope can be calculated by selecting two points it goes through. Let's pick points (0,0) and (2,-2). Thus the slope is:
[tex]\displaystyle m=\frac{-2-0}{2-0}=-1[/tex]
The slope (m') of a line that is perpendicular to the line in the graph can be found by using the equation:
m*m'=-1
Solving for m':
[tex]m'=-\frac{1}{m}=-\frac{1}{-1}=1[/tex]
Thus the slope of the required line is 1
I GIVEEE BRAINLILSTTT
Answer:
edfsefesfwefwefwf
Step-by-step explanation:
fwefewfweefwefwefwefewfwefwefwefwef
if im a bot, then, what are you?-
I GIVEEEE BRAINLILST
Answer:
its a scale factor of 4
Step-by-step explanation:
Drag and drop the words below to correctly complete the statement of the SAS Similarity Theorem.
A company that makes hair care products have 6000 people China Chef poop of the 6000 people 48 had a mild allergic reaction..what is the percent of the people that had an allergic reaction
Answer:
5952
Step-by-step explanation:
6000
A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?
Answer:
Step-by-step explanation:
Perimeter=a+b+c=6+8+10=24 m
Area=1/2*a*b=1/2*6*8=24 m^2
Let T: P2 → P3 be the transformation that maps a polynomial p(t) into the polynomial (t-2)p(t).
a. Find the image of p(t) = 2-t + t^2
b. Show that T is a linear transformation.
c. Find the matrix for T relative to the bases (1, t,t^2) and (1,t,t^2,t^3).
(a) Applying T to p(t) = 2 - t + t ² gives
T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³
(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,
T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )
Let
p(t) = α₀ + α₁ t + α₂ t ²
q(t) = β₀ + β₁ t + β₂ t ²
Compute the images of p and q :
T ( p(t) ) = (t - 2) (α₀ + α₁ t + α₂ t ²)
… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³
Similarly,
T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³
Then
a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³)
… = c₀ + c₁ t + c₂ t ² + c₃ t ³
where
c₀ = -2 (a α₀ + b β₀)
c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)
c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)
c₃ = a α₂ + b β₂
Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.
(c) Find the image of each vector in the basis for P₂ :
T (1) = (t - 2) × 1 = t - 2
T (t ) = (t - 2) t = t ² - 2t
T (t ²) = (t - 2) t ² = t ³ - 2t ²
Then
[tex]T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}[/tex]
What’s 5,700 divided by 70
Answer:
81.4285714286
Step-by-step explanation:
Can someone plz help with this, this is one question, the choices for the first option are; coin, quartered spinner, number cube, or two coins. The choices for the second option are; 5, 4, 20, or 3. And the choices for the last option are; 1/5, 3/16, 3/256, or 1/256, plz help!!!
Answer:
Number cube, 5, and 3/16
What is the solution to −6x−4≥−2(x−4) ?
x≤−3
x≥3
x≥2
x≤−1
Answer:
The correct answer is: Option 1: x≤-3
Step-by-step explanation:
Given inequality is:
[tex]-6x-4\geq -2(x-4)[/tex]
First of all, we will distribute -2 into the bracket
[tex]-6x-4\geq -2x+8[/tex]
Then we will add 4 on both sides
[tex]-6x-4+4\geq -2x+8+4\\-6x \geq -2x+12[/tex]
Adding 2x on both sides
[tex]-6x+2x\geq -2x+12+2x\\-4x\geq 12[/tex]
Dividing both sides by 4
[tex]\frac{-4x}{4} \geq \frac{12}{4}\\-x \geq 3[/tex]
As there should be only x on the left side of the inequality we will multiply the inequality with -1.
Multiplying the inequality with -1 reverses the sign of inequality
So,
[tex]x \leq -3[/tex]
Hence,
The correct answer is: Option 1: x≤-3
What fraction of an hour is 51 minutes?
Give your answer in its simplest form.
Answer:
0.850
Step-by-step explanation:
HELP PLS I WILL MARK BRAINLIST IF CORRECT !!
-
1. 9 6/8 = n + 2 1/8
-
2. x — 2/9 = 6 5/9
-
3. y + 1/4 = 6 11/12
pls help me i dont understand any of this.
What do you do to convert 0.02083 to 75 mph?
Answer: 120.7008 Kilometers per Hour
PLS ANSWER THIS ASAP THANK YOU AND I WILL GIVE YOU THANKS
15points
Which three side lengths best describe the triangle in the diagram?
A. 5 cm, 12 cm, and 13 cm
B. 5 cm, 10 cm, and 13 cm
C. 4 cm, 8 cm, and 12 cm
D. 7 cm, 12 cm, and 13 cm
Answer:
the answer is A
Step-by-step explanation:
What percentage of the shape is green?
Write your answer using a percent sign (%).
(ASAP)
Answer:
52% of the shape is green
Step-by-step explanation:
13 out of 25 blocks are shaded green = 13/25
13/25 = 52%
can someone explain because im confused
Answer:
I'm pretty sure it is yes
Step-by-step explanation:
7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.
Hypotheses are______.
hypothesis is a guess that you test run.
What percentage of the shape is purple?
Write your answer using a percent sign (%).
First, we see a rectangle shape with little squares in it. The length is 5 and the width is 4. If we multiply them, we get 20 square units. However, we will use the 20 to solve the question. Also, we see that there are only 3 squares.
3/20
Let's divide the fraction. 3 / 20 is 0.15. We result with 0.15. Now, we multiply the decimal by 100 to get a percent; we are converting from decimal to percent. As a result, we get 15% as our answer.
3/20 = 0.15 x 100 = 15%
what is the graph in slope intercept form
Answer: Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.
Step-by-step explanation:
Answer:
Slope intercept form is y=mx+b which is m is slope and b is the y-intercept.
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x² + 5x-36
Answer:
A. x + 9
Step-by-step explanation:
x² + 5x - 36 = (x + 9) (x - 4)
Find the slope intercept equation of the line
Answer:
y=1/5x+0
Step-by-step explanation:
(10 points, Giving brainliest to correct answer) Need in a couple hours
Congruence
Answer:
SSA (or AS*)
Step-by-step explanation:
SSA cannot booe used
just remember that
Consider the inequality x + 7 < 9. Select all the true statements.
Answer:
Step-by-step explanation:
here you go mate
step 1
x + 7 < 9 equation
step 2
x + 7 < 9 subtract -7
x+7(-7)<9(-7)
answer
x<2
Given:
g(x) = 5 – 6x
Find:
g(5)
Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11(4-1)
Step-by-step explanation:
11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms
44/11=4
11/11=4
Therefore the answer is 11(4-1)
Round 8,723 to the nearest thousand
Answer:
9,000
Step-by-step explanation:
10. One number is twenty more than eight times another number. The sum of the
numbers is eleven. Find the two numbers.
Answer:
the two numbers are 12 and -1.
Step-by-step explanation:
Let the large number be represented by x and the smaller number by y.
So that;
x = 8y + 20 .................. 1
x + y = 11 ................... 2
From equation 2,
x = 11 - y .......... 3
Substitute equation 3 into equation 1 to have,
11 - y = 8y + 20
11 - 20 = 8y + y
-9 = 9y
divide through by 9 to have,
y = -1
Substitute the value of y in equation 3,
x = 11 - (-1)
= 11 + 1
= 12
x = 12
x = 12, y = -1
The two numbers are 12 and -1.