find the value of x. give reasons to justify your answer NEED HELP ASAP!!!!
Answer:
[tex]x = 34^\circ[/tex]
Step-by-step explanation:
Note that ∠TSU and ∠PSR are vertical angles. Hence:
[tex]m\angle TSU = m\angle PSR[/tex]
∠PSR is the sum of ∠PSQ and ∠QSR. Hence:
[tex]\displaystyle m\angle TSU = m\angle PSQ + m\angle QSR[/tex]
We know that ∠TSU measures 4x and ∠QSR measures 3x. Thus:
[tex](4x) = m\angle PSQ + (3x)[/tex]
Solve for ∠PSQ:
[tex]m\angle PSQ = x[/tex]
Next, ∠PQS and ∠RQS form a linear pair. Thus:
[tex]m\angle PQS + m\angle RQS = 180^\circ[/tex]
∠RQS measures 68°. Thus:
[tex]m\angle PQS +(68^\circ) = 180^\circ[/tex]
Solve for ∠PQS:
[tex]m\angle PQS = 112^\circ[/tex]
The interior angles of a triangle must total 180°. So, for ΔPQS:
[tex]\displaystyle m\angle SPQ + m\angle PQS + m\angle PSQ = 180^\circ[/tex]
Substitute in the known values:
[tex](x) + (112^\circ) + (x) = 180^\circ[/tex]
Simplify:
[tex]2x = 68^\circ[/tex]
And divide. Hence:
[tex]x = 34^\circ[/tex]
If YWZ=17, what is WXY?
34
56
17
73
Answer:
73
Step-by-step explanation:
17×2=34
180-34=146
146/2=73
=73
Jo bought a used car for $6000 and paid a 15% deposit. How much did he still have to pay?
Answer:
900 is the correct awnser
Graph the system of inequalities. Then state whether the situation is infeasible, has alternate optimal solutions, or is unbounded. (Assume that x>0 y>0
Answer:
x
[tex]x \leqslant - y + 1[/tex]
Steps are show in the picture above.
Ms. Dawson’s call did a science experiment. The class started out with 650 bacteria cells. The growth rate predicted was 4.5%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 30 h from the start of the experiment. Round to the nearest whole number.
Answer:
your slope would be 4.5.... so go up 4 and to the right 5. the y-intercept is 650 so that is where your line would start instead of at 0... hope this helped :)
Step-by-step explanation:
The exponential function gotten from the table is given by y = 650(1.045)ˣ
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multipliers.
Let y represent the bacteria population after x hours.
The class started out with 650 bacteria cells.
a = 650Growth rate = 4.5%
b = 100% + 4.5% = 104.5% = 1.045The exponential function gotten from the table is given by y = 650(1.045)ˣ
After 30 hours:
y = 650(1.045)³⁰ = 2434Find out more on exponential function at: https://brainly.com/question/12940982
What is the difference between-5and2
Answer:
7
Step-by-step explanation:
Consider the absolute value of the difference , that is
| - 5 - 2 | = | - 7 | = 7
or
| 2 - (- 5) | = | 2 + 5 | = | 7 | = 7
Answer:
7
Step-by-step explanation:
Difference is - sign so the equation is: 2- -5 which is 7. Or
think a number line, -5 is 5 spots to 0, then two more spots to 2 so 5+2=7
[tex](a+b)^{2}[/tex]
Answer:
[tex] ({a + b})^{2} [/tex]
[tex](a + b)(a + b)[/tex]
[tex] {a}^{2} + 2ab + {b}^{2} [/tex]
hope this help you
Please solve fast. It's really easy!
Answer:
j = 10.1
Step-by-step explanation:
The difference between 9.5 and 11.3 is
11.3 - 9.5 = 1.8
This is split into 3 divisions, that is
1.8 ÷ 3 = 0.6
Then
j = 9.5 + 0.6 = 10.1
Find m/ELM if m/ELM = 15x - 1, m/KLE = 20°, and m/KLM = 17x - 1.
Answer:
∠ ELM = 149°
Step-by-step explanation:
∠ KLM = ∠ KLE + ∠ ELM , substitute values
17x - 1 = 20 + 15x - 1
17x - 1 = 15x + 19 ( subtract 15x from both sides )
2x - 1 = 19 ( add 1 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Then
∠ ELM = 15x - 1 = 15(10) - 1 = 150 - 1 = 149°
John and Pablo caught fish that have the lengths, in centimeters, listed below. 45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44 Which box-and-whisker plot correctly represents the data?
The options for the box and whisker plots aren't given ; however using technology, a box and whisker plot could be generated from the data.
Answer:
Step-by-step explanation:
Given :
45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44
Using technology, the box and whisker plot generated for the data is attached below.
The 5 - number summary is also given below :
Minimum: 39
Median: 45
First quartile: 42
Third quartile: 47
Interquartile Range: 5
Maximum: 49
Outliers: none
Answer:
Step-by-step explanation:
I need help!!
Find the height of this cone using the Pythagorean Theorem.
Answer:
h = 4sqr(3)
Step-by-step explanation:
r = d/2
d = 8
r = 8/2
r = 4
a = 4
c = 8
b = h = ?
a^2 + h^2 = c^2
4^2 + h^2 = 8^2
16 + h^2 = 64
h^2 = 64 - 16
h^2 = 48
sqrt(h^2) = sqrt(16*3)
h = 4 sqrt3)
Answer:
48
Step-by-step explanation:
What’s this topic called
Answer: MATH
Step-by-step explanation:
Answer:
answer for the question is
x = 1
y = 4
subject is math btw if you are asking about that
SOMEONE HELP ME PLEASE
Answer:
Step-by-step on:ơ
pls help me with this question and reply answer
Step-by-step explanation:
From both the cases we can say that √n is either a natural number or an irrational number. Hence the correct option is (d)Either a natural number or an irrational number. Note: Before solving this type of question we should have proper knowledge of natural numbers, rational numbers and irrational numbers.
find the shaded area ..
Answer:
39°
Step-by-step explanation:
The angle adjacent to 115° in the lower triangle = 180° - 115° = 65°
angle on circle in lower triangle
= 180° - (65 + 76)° ← angle sum in triangle
= 180° - 141° = 39°
Angles on the circle subtended from the same arc are congruent, then
shaded angle = 39°
HELP ASAP PLEASE!!!!!
what is the factorization of the polynomial below -x^2-2x+48
I HOPE IT WILL HELP YOU. I DID HOW I KNOW .
Find the circumference and the area of a circle with diameter equal to 8.6 inches. Use 3.14 for pi
Please answer it will mean a lot thanks
Answer: Circumference of circle = 27.004 inches
Area of circle = 58.0586 inches²
Step-by-step explanation:
Diameter of circle = 8.6 inches
Pi ([tex]\pi[/tex]) = 3.14
Circumference of circle (With diameter) = [tex]\pi \\[/tex]d ([tex]\pi[/tex]×diameter)
= 3.14 × 8.6
= 27.004 inches
Area of circle (With diameter) = [tex]\pi[/tex][tex]d^{2}[/tex]/4
= 3.14 × 8.6 × 8.6 / 4
= 3.14 × 73.96 / 4
= 58.0586 inches²
What is the surface area of the right prism?
92 ft2
46 ft2
48 ft2
70 ft2
(will mark brainliest <3)
=========================================================
Work Shown:
L = 8 ft = lengthW = 3 ft = widthH = 1 ft = heightSA = surface area of the rectangular prism (aka block or box)
SA = 2*(LW + LH + WH)
SA = 2*(8*3 + 8*1 + 3*1)
SA = 2*(24 + 8 + 3)
SA = 2*(35)
SA = 70 square feet
This is the amount of wrapping paper you would need to cover all six sides of the box. This assumes that there are no gaps or overlaps.
The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:
a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?
Answer:
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answer:
either it's 1:3 or 1:6
Step-by-step explanation:
3 students went to the zoo, and 15 students went to the aquarium.
15 plus 3 is 18.
3/18 then reduces to 1/6
therefore it is:
1:6
(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)
What are the solutions to the system of equations?
{y=2x²−6x+3
{y=x−2
Answer:
x = 1, y = −1
x = 5/2, y = 1/2
Step-by-step explanation:
From the question given above, the following data were obtained:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
We can obtain the solutions to the equation as follow:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
Substitute the value of y in equation 2 into equation 1
y = 2x² − 6x + 3
y = x − 2
2x² − 6x + 3 = x − 2
Rearrange
2x² − 6x − x + 3 + 2 = 0
2x² − 7x + 5 = 0
Solve by factorization
Obtain the product of 2x² and 5. The result is 10x².
Find two factors of 10x² such that their sum will result to −7x.
The factors are −2x and −5x.
Replace −7x in the equation above with −2x and −5x as shown below:
2x² − 2x − 5x + 5 = 0
2x(x − 1) − 5(x − 1) = 0
(x − 1)(2x − 5) = 0
x − 1 = 0 or 2x − 5 = 0
x = 1 or 2x = 5
x = 1 or x = 5/2
Substitute the value of x into equation 2 to obtain y
y = x − 2
x = 1
y = 1 − 2
y = −1
x = 5/2
y = x − 2
y = 5/2 − 2
y = (5 − 4)/2
y = 1/2
SUMMARY:
x = 1, y = −1
x = 5/2, y = 1/2
which statement is true
URGENT ! HELP ME I WILL MARK YOU BRAINLIEST !!!!
pleasee fasterrr !!!!
Answer:
3b (3a - 4b)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
9ab - 12b² ← factor out 3b from each term
= 3b(3a - 4b) → C
Which graph represents the function f(x)=|x−1|−3 ?
(f^3-5f+25)-(4f^2-12f+9)
Answer:
3−42+7+16
Step-by-step explanation:
if its simplify
Help solve for the area
Answer:
B
Step-by-step explanation:
half × base × height
height × length
Answer: B
Step-by-step explanation:
Triangle)
25 - 7 = 18
[tex]A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2[/tex]
Rectangle)
[tex]A=b(h)\\A=7(17) = 119cm^2[/tex]
Total)
[tex]153+119=272 cm^2[/tex]
Five children share 24m of ribbon equally.
How much ribbon will each child get?
Write your answer as a mixed number.
Answer: 4 8/10m
Explanation:
Total Ribbon = 24m
Total children = 5
Ribbon each student gets = 24÷5
= 4.8
Now 4.8 = 48/10
4 8/10m is the mixed fraction
So each child will get 4 8/10m ribbon
Must click thanks and mark brainliest
If five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that five children share 24m of ribbon equally.
We have to find the amount of ribbon each children gets.
To find this we have to divide the length of the ribbon with the number of children.
Twenty four divided by five.
24 is the dividend and five will be the divisor
24/5
Now we have to write this in mixed fraction
[tex]4\frac{4}{5}[/tex]
Hence, if five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ3
Select the two values of x that are roots of this equatio 2x - 5 = - 3x ^ 2
alright I can help!
so to find the two values of x that are roots of the equation we need to put the variables all on one side so that we can set up the quadratic formula.
3x^2+2x-5=0 (the -3x^2 becomes positive when moved across the equal sign)
now we can set up the quadratic formula. the equation is x= (-b+-(sqrt of b^2 -4ac))/ 2a
so now we just plug in our variables.
x= (-2+-(sqrt of 2^2 -4×3×-5))/ 2×3
x= (-2+-8)/6
now we just seperate the equations so that we have the two roots. and then just solve!
x= (-2-8)/6 -> x= -5/3
x= (-2+8)/6 -> x=1
hope this helps! best wishes and best of luck!!
State the slope of the line shown below (help ASAP)
Is it a, b, c or d?
Answer:
D
Step-by-step explanation:
(the above graph depicts a horizontal line that intersects the y axis at -2)
(so, y = -2)
Answer:
0
Step-by-step explanation:
Horizontal line x axis is 0 while the vertical y axis is undefined.
What is an
equation of the line that passes through the points (-3,-1) and (-4,-4)
Answer:
y= 3x+8
Step-by-step explanation:
not a 100% sure...
sry if its wrong
(try using Math-way, its rly helpful)
Answer:
Step-by-step explanation:
y=mx+b
To find slope: -4+1/-4+3
Slope=3
y=3x+b
Plug in either points ,as an example, i'll plug in (-3,-1)
-1=3(-3)+b
-1=-9+b
8=b
Finished formula: y=3x+8
