Answer:
15) A
Step-by-step explanation:
4x-2 + 7x + 17 = 180
11x + 15 = 180
11x = 165
x = 15
Because the two angles (4x-2 and 7x+17) are linear, we can say that they add up to 180 degrees.
4x-2+7x+17 = 180 Now, simplify like terms
11x + 15 = 180
11x = 165
x = 15
Thus, the value of x would be 15 (choice 1)
Complete the table of values for function f, and then plot the ordered pairs on the graph.
Answer:
See picture above
Explanation:
Hope this helps and have a nice day
please help w this question!!!
Answer:
72
Step-by-step explanation:
The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.
QR = QT
3p = p +48 . . . . . . substitute the given measure expressions
2p = 48 . . . . . . . subtract p
p = 24 . . . . . . . divide by 2
QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT
QT = 72
What is the degree measure of major
arc QTS?
Answer:
320
Step-by-step explanation:
20*2 = 40
360 - 40 = 320
Rectangle ZYXW has vertices Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4). What will be the vertices of the rotated image if the rectangle is rotated around the origin counterclockwise by 90 degrees?
The coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
How to determine the vertices of the image?The points are given as:
Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4)
The rule of rotation around the origin counterclockwise by 90 degrees is
(x,y) => (-y,x)
Using the above rule, we have:
Z' = (4,-1)
Y' = (2,0)
X' = (0,4)
W' = (4,3)
Hence, the coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
Read more about rotation at:
https://brainly.com/question/4289712
#SPJ1
HELLPP!
Change 17/34 into a percent. Show your work.
Answer:
50%
Step-by-step explanation:
[tex] \frac{17}{34} = \frac{1}{2} = 50\%[/tex]
pls help me my homework
Answer:
[tex]1.\; \boxed{\sf x=12^o}[/tex]
[tex]\sf 2.\;\boxed{\sf \angle 2=60^o}[/tex]
Step-by-step explanation:
1)
Since ∠1 and ∠ (7x-20) are corresponding angle.
So, ∠1 =∠ (7x-20)
and, ∠1 and ∠(5x+16) are vertically opposite angles.
- - - - -
S0...
[tex]\sf 4x+16=7x-20[/tex]
Subtract 16 from both sides.
[tex]\sf 4x=7x-36[/tex]
Subtract 7x from both sides.
[tex]\sf 4x-7x=7x-36-7x[/tex]
[tex]\sf -3x=-36[/tex]
Divide both sides by -3.
[tex]\sf \cfrac{-3x}{-3}=\cfrac{-36}{-3}[/tex]
[tex]\boxed{\sf x=12^o}[/tex]
- - - - - - - - - - -
2)
∠1 and ∠2 are corresponding angles.
S0,
[tex]\sf \angle 1=\angle 2=\boxed{\sf 60^o}[/tex]
- - - - - - - - - - - - - - - - - -
Additional info:-
Any pair of angles on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles.
Vertical angles are angles opposite each other where two lines cross.
Learn more:
https://brainly.com/question/18435267
https://brainly.com/question/17006189
Answer:
x = 12
Step-by-step explanation:
The angles are equal as they are alternate exterior angles.
Solving :
⇒ 4x + 16 = 7x - 20
⇒ 7x - 4x = 16 + 20
⇒ 3x = 36
⇒ x = 12
which graph best describes the solution of 3m > 21
Answer:
See below
Step-by-step explanation:
I don't see any graphs, but if you solve the inequality by dividing 3 on both sides, you get [tex]m > 7[/tex]. This means that all [tex]m[/tex] greater than 7, except 7 itself, are included in the solution set.
Ideally, I assume the answer would be a number line with an open circle at m=7 to show it is not included, and then a shaded arrow pointing to the right to show all possible solutions greater than 7.
Whats the soulution to the stimultaneous equation 2x-3y=-1 and y=2x+3
The graph of y=f(x) is shown on the grid.
Use the graph to workout and estimate for f(2.5)
Check the picture below.
Please I really need help with this question!!!!!
To solve this problem, we must consider all the trigonometric equations:
⇒ (see image below)
Let's examine the diagram:
the side adjacent to ∠A ⇒ AC ⇒ 35 metershypotenuse ⇒ 53 metersThus we can use:
[tex]cos(A)=\frac{35}{53} \\A= cos^{-1}(\frac{35}{53})\\ A = 48.67[/tex]
Answer: 49 degrees (as rounded)
Hope that helps!
Jamal is looking for a summer job. One job pays $10 per hour. Another pays $15 per hour but requires a uniform that costs $50. What are the two quantities that vary in relation to each other in this situation?
Answer:
Jamel work one job per hour pays =$10
Jamel work Another pays=$15
Jamel Uniform costs=$50
Total situation=$7,500
Describe the zero product property and explain how tu use it to solve (2x + 10) (x - 7) = 0
Answer:
See below
Step-by-step explanation:
Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:
[tex]2x+10=0\\2x=-10\\x=-5[/tex]
[tex]x-7=0\\x=7[/tex]
Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:
[tex](2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0[/tex]
[tex](2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0[/tex]
angles that are exactly 90 degrees are called
Answer:
Right angles.
Step-by-step explanation:
When an angle's measurements equal 90 degrees, it is called a right angle.
Answer:
Right angles
Step-by-step explanation:
For instance a a triangle with an angle of 90 ° is a right trangle because is has a right angle in it.
g(x)= -2/× + p + q
what are values of p and q?
[tex]q = \frac{gx {}^{2} - px + 2}{x} \\ [/tex]
[tex]p= \frac{gx {}^{2} - qx + 2}{x} [/tex]
What is another name for 13?
a. (15+3)+7
b.
(4 x 3) + 3
c.
3+ (5 x 2)
d.
3 x 3 +5
What is an equation of a line that perpendicular to y=8x-3?
Question 4 options:
y=8x + 10
y=10x - 3
y= -1/-8 (-3)
y= -1/-8 +1
Hi Student!
Reading the question we can pull out specific bits of information that would help us find our answer. One of the bits of information that is useful is that we are trying to find the perpendicular line. However, in order to determine a line that is perpendicular to the other line we first need to determine the slope of the first line. Looking at the equation given, we can see that it follows the y = mx + b form where m is the slope and in this case our slope is 8.
Now that we have completed the information gathering, we can move onto the next part which is determining a slope that is perpendicular to that of the original line. In order to find that we first need to negate our slope which would turn our 8 into a -8. The second step that we need to do is take the reciprocal of the number which means that we basically flip the number and so we convert -8 into -1/8. Looking at the given options, there is none that match our answer so that either means that the question is wrong or the choices that are given are wrong.
Due to its weakening steel industry, Clay County has been experiencing population decline of 3% every year. The current population is 10,300 people. Assuming the trend continues, what will the population be in 10 years?
Using an exponential function, it is found that the population of Clay County will be of $13,482.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, the current population is 10,300 people, with a growth rate of 3%, hence A(0) = 10,300 and r = 0.03.
The equation is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 10300(1 + 0.03)^t[/tex]
[tex]A(t) = 10300(1.03)^t[/tex]
Hence, in 10 years, the population will be given by:
[tex]A(10) = 10300(1.03)^{10} = 13842[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Answer: 7,595
Step-by-step explanation:
ixl
Enlarge the triangle by scale factor -3 with centre (3, 3)
Answer:
... There isnt answer choices...
Answer:
the new points/coordinates would be (3,0) and (3,-3) and (-3,-3)
Step-by-step explanation:
this is because you use column vectors and draw a cross at the centre of enlargement then find out how many spaces you need to go right and up for each of the coordinates. then times that by -3 and use your answers to go left and down from the centre (3,3)
What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
Group of answer choices
800 J/kgC
1200 J/kgC
300 J/kgC
450 J/kgC
Answer:
Step-by-step explanation:
800 J/kgC
What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
it is 800 J/kgC
pasagot po, thank you
Step-by-step explanation:
6) The sum of the length of any two sides of a triangle is always equal to the third side.
Option C 3,4,7
7) The sum of the length of any two sides of a triangle is always equal to the third side.
Option B 5 units
8) The sum of the length of any two sides of a triangle is always equal to the third side.
Option D 13 units
9) The sum of the length of any two sides of a triangle is always equal to the third side.
Option A 5<x<13
2. Every morning, Desiree walks around her pool to get some morning exercise. She doesn't remember
the width of the pool, but she knows that the length of the pool is three less than twice the width.
Her father tells her that when he built the border of the pool, it had a perimeter of 48 feet. What is
the width of the pool?
What is the perimeter of the triangle?
A watering can hold 12 1/2 litres.it’s filled 11 times from a tank containing 400 litres.how much water is left in the tank
Answer:
262 1/2 liters
Step-by-step explanation:
Remaining water in tank :
Volume (tank) - 11 x Volume (watering can)400 - 11 x 12 1/2400 - 137 1/2262 1/2 litersAnswer:
262.5 litres
Step-by-step explanation:
Water taken from the tank
⇒ 11 × 12.5 litres = 137.5 litres
Water left in tank
⇒ 400 - 137.5 = 262.5 litres
The sum of terms of an A.P. is 136, the common difference 4, and the last term 31, find n
Step-by-step explanation:
[tex]\huge{\color{black}{\fbox{\color{pink}{\colorbox{pink}{\color{red}{Answer ✨☑️}}}}}}[/tex]
The number of terms are 8. Step-by-step explanation: Given : The sum n terms of an A.P is 136 the common difference is 4 and last term is 31.
Answer:
Sn=2n{2a+(n−1)d}
a+(n−1)d=31⇒a=31−4(n−1)
∴136=2n{2[31−4(n−1)]+(n−1)d}
n[70−8n+4n−4]=272
n(66−4n)=272
4n2−66n+272=0
2n2−33n+136=0
2n(n−8)−17(n−8)=0
(2n−17)(n−8)=0
∴n=8
HELP! need help ASAP, 50 points and brainiest will be given to whoever helps.
Solve for x:
Answer:
12
Step-by-step explanation
A certificate of deposit earns 0.75% annual interest every three months. The interest is compounded. What is the value of a $32,000 investment after 5 years?
A. $33,221.62
B. $37,157.89
C. $43,099.36
D. $57,795.56
Answer:
Given that certificate of deposits earns 0.75% interest every three months, the value of $25,000 after 8 years will be:
A=P(1+r/100)^nt
where:
A=amount
P=principle
r=rate
t=time
n=number of terms
thus:
from the infomation
$25000, r=0.75%, t=8 years, n=12/3=4
thus
A=25000(1+0.0075/100)^(4*8)
A=25000(1.0075)^32
A=$3175.28
Step-by-step explanation:
4 of 8
Given that y = 6 cm and 0 = 32", work out I rounded to 1 DP.
x =
Answer:
[tex]x=3.18[/tex] [tex]cm[/tex]
Explanation:
[tex]x=3.18[/tex] [tex]cm[/tex]
Substitute [tex]y=6 cm[/tex] into [tex]\frac{}{AC} =y:\frac{}{AC} =6cm[/tex]
Substitute [tex]0=32[/tex] into ∠[tex]CAB=0:[/tex] ∠[tex]CAB=32^o[/tex]
sinA=leg opposite ∠A/hypotenuse : [tex]sin(CAB)=\frac{\frac{}{BC} }{\frac{}{AC} }[/tex]
Substitute [tex]\frac{}{BC} =x,\frac{}{AC}=6cm,[/tex] ∠[tex]CAB=32^o[/tex]
into sin(∠[tex]CAB[/tex]) [tex]=\frac{\frac{}{BC} }{\frac{}{AC} }:sin(32^o)=\frac{x}{6}[/tex]
Calculate [tex]sin(32^o)=\frac{x}{6} :x=3.18cm[/tex]
: Find the area of the shaded region for these two questions. Remember this
Area of shaded region= total area - area of unshaded region.
^explain
Answer:
c) 18 cm²
d) 30 cm²
Step-by-step explanation:
c)
You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.
Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.
area of triangle = bh/2
shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2
shaded area = 24 cm² - 6 cm²
shaded area = 18 cm²
Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.
area of trapezoid = (B + b)h/2
shaded area = (6 cm + 3 cm)(4 cm)/2
shaded area = (9 cm)(4 cm)/2
shaded area = 18 cm²
d)
The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.
area of rectangle = length × width
area of triangle = bh/2
shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2
shaded area = 48 cm² - 18 cm²
shaded area = 30 cm²
On a coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1), (3, negative 3). kite wxyz is graphed on a coordinate plane. what is the area of the kite? 7 square units 8 square units 14 square units 16 square units
The area of the kite will be C. 14 square units.
How to calculate the area?From the information given, on coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1),
The area of the kite will be;
= 2(1/2 × 7 × 2)
= 2 ×7
= 14 units²
Therefore, the area of the kite will be 14 square units.
In conclusion, the correct option is C.
Learn more about area on:
https://brainly.com/question/25292087
#SPJ4
Answer:
14 square units
Step-by-step explanation:
Is the eye color of a student in class classified as a qualities or quantitive variable
Answer:
Qualities variable, because eye color is something you observe from a study on someone. Eye color cannot be observed very well from a quantitive variable, because quantitive variables record height, weight, and other statistics other than eye color.