Answer:
x = 55 degree
Step-by-step explanation:
let the another angle be y
y+108=125 (sum of two interior opposite angle is equal to the exterioe angle formed)
y=125-108
y=17
y+x+108=180 degree (sum of interior angle of a triangle)
17 + x + 108 =180
x + 125 =180
x = 180-125
x=55
Which graph represents the function f(x) = 5x + 3)?
4
4
3
2
1
2
1
-
1 2 3 4
-5-4-3-2-4
2+
-5-4-3-2-4
2
-3
4
2
1
54-3-2-1412
Answer:
the first one
Step-by-step explanation:
all created functional values must always be negative, because "absolute value" Shays creates only positive numbers, and then the "-" in front makes then sure we have only negative numbers.
that rules out the third and fourth answer option.
to decide between first and second answer, I choose to see, when the function should deliver 0 as functional value.
f(x) is 0, when x+3 is 0. and that is only possible for x=-3.
so, at x=-3, y=0.
and that is only true for the first answer option.
Find the sum of the first 31 terms of the following series, to the nearest integer.
5, 14,23,...
Answer:
4340.
Step-by-step explanation:
14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.
Sum of n terms = (n/2)[2a1 + d(n - 1)]
Here n = 31, d = 9 and a1 = 5.
So, substituting, we have:
Sum of 31 terms = (31/2)[2*5 + 9(31-1)]
= 15.5 * 280
= 4340.
Drag and drop the correct angle measures onto the diagram
Answer:
Here you go!
Hope this helps!
Evaluate and reduce:
12 + (12)
Enter the number that belongs in the
green box.
[?]
Answer:
24
Step-by-step explanation:
12 + (12)
first do for the bracket
12 + 12
24
If line a has a slope of -3 and is perpendicular to line b, what would is the slope of line b?
Answer:
Slope of line B: 1/3
Step-by-step explanation:
To find a slope perpendicular to another slope, you take its negative reciprocal.
Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3
help help help help help help
Answer:
A
Step-by-step explanation:
because the intercept on the y axis is 6
What is the perimeter of the triangle? Units
Answer:
the area of triangle is the product of the base and height divided by 2
Step-by-step explanation:
follow me
Answer:
Perimeter=a+b+c
Step-by-step explanation:
As perimeter is sum of all sides so,
Let sides of triangle be a, b and c
Perimeter=a+b+c
Mark me as brainliest
Thanks
A ball is thrown horizontally at the speed of 24 meters per second from the top of a cliff. If the ball hits the ground 6.0 seconds later, approximately how high is the cliff?
Answer:
[tex]h=4m[/tex]
Step-by-step explanation:
Speed [tex]V=24m/s[/tex]
Time [tex]t=6.0s[/tex]
Generally the equation for Height is mathematically given by
[tex]h=\frac{V}{t}[/tex]
[tex]h=\frac{24}{6}[/tex]
[tex]h=4m[/tex]
HELPPP PLEASEEEE
Identify the transformations you would apply to f(x) = sin x to graph f(x) = 0.5 sin (x - 30%)
What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?
Answer:
3x
Step-by-step explanation:
You multiply the pervious number with 3 to get the next number
For example 2 times 3 = 6
6 times 3 = 18
18 times 3 =54
54 times 3= 162
So on and so forth
What are the solutions to the equation 0=x^2+4x+8?
Answer:
this are the equation I was taught
Step-by-step explanation:
_(x2+4x+8)=0
Solve unit rate problems- in a soccer league the ratio of boys to girls is 4 to 6 there are a total of 50 players in the soccer league determine how many girls play in the soccer league
A.30
B.20
C.10
D.50
Answer:
30 girls
Step-by-step explanation:
boys to girls
4 to 6
since there are 50 players we have
4*5= 20 to 6*5 =30
because 20+30 =50 players and we keep the ratio equivalent since we multiplied by the same number.
The object below is made with six identical cubes. Each cube edge is 3 inches long.
As
3 in.
What is the surface area of the object in square inches?
Answer:
306 square inches.
Step-by-step explanation:
All surfaces of the cubes are exposed to the outside except 2 ( where 2 of the cubes join).
6 separate cubes have 6 * 6 faces exposed so this object has 36 - 2 = 34 surfaces exposed.
Each face of one cube = 3*3 = 9 in^2.
Therefore the surface area = 9 * 34 = 306 in^2.
Dana bought almonds at $8 per can and cashews at $12 per can. In total she bought 470 cans of nuts. Her total bill was $4260. How many cans of each type of nut did she buy? Use either substitution or elimination to solve this problem.
Answer:
almonds =345, cashews=125
Step-by-step explanation:
a=almonds, c=cashews
8a+12c=4260. Equation 1
a + c= 470 Equation 2
a=470-c. Isolate a from equation 2
8(470-c)+12c=4260 sub value of a from equation 2 into equation 1
3760-8c+12c=4260
4c=500
c=125
solve for a by substituting value of c into either equation
a+c=470
a+125=470
a=345
On the coordinate plane, point T is located at (0,7) and point U is located at (x,-5). The distance between points T and U is 15 units.
What are the two possible values of x?
Answer:
x = 9 or x = -9
Step-by-step explanation:
The parameters of the given points are;
The location of the point T = (0, 7)
The location of the point U = (x, -5)
Then distance between points T and U = 15 units
The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;
[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, for the given points, T(0, 7) and U(x, -5), we get;
[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]
Squaring both sides, gives;
[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]
∴ x² = 15² - (-12)² = 81 = 9²
x² = 9²
∴ x = ±√(9²) = ± 9
The possible values of x are x = 9 or x = -9
How many poles will there be in a stack of telephone piles if there are 58 in the first layer, 57 in the second, 56 in the third, and so on, with 12 in the top layer?
Answer:
1,645 poles
Step-by-step explanation:
Here, we want to calculate the total number of poles
We can have an arithmetic progression here
Where the last term is the 58 piles , the first term is the top layer which is 12 and the common difference between the piles is 1
Firstly, we calculate the number of stacks which can be obtained using the nth term formula;
Tn = a + (n-1)d
58 = 12 + (n-1)1
58 = 12 + n - 1
58 = n + 11
n = 58-11
n = 47
So we have the stack high up to 47 units
So, using the sum of terms in an arithmetic sequence formula, we have;
Sn = n/2 ( a + L)
where a is the first term 12 and L is the last term 58
Thus, we have
Sn = 47/2( 12 + 58)
Sn = 47/2 * 70
Sn = 1,645
A quadrilateral is a parallelogram if each____ divides a parallelogram into two____.
Answer:
diagonal, congruent triangles
Step-by-step explanation:
Help down below please
Answer:
Step-by-step explanation:
1. Three million, two hundred ninety eight thousand, seventy six
2. 50,003,087
50,000,000+3000+87
3. 60,400,239
279 students went on a field trip. Five buses were filled and 9 students traveled in cars. How many students were in each bus? PLEASEEEEE HELPPPPP ME you get 60 points i dont know if anyone cares but hey
Answer:
90 students.
Step-by-step explanation:
279-9=270, and 270 divided by 9 is 90.
HELP!!
BONUS!!!
PLS ANSWER A B C OR D
Answer:
About 1 1/2 :)
Step-by-step explanation:
The answer is 1.46 which is close to 1.5
Help please! No links!
Answer:
It is placed to the left of –2
Simplify the expression 2 (2 + 4y) + 3x.
PLS ANSWER ASAP DUE 9:20
Answer:
5x+8y
Step-by-step explanation:
We can first open the brackets by using the distrubitive propety.
2(x+4y)+3x
2x+8y+3x
Now we can combine like terms.
5x+8y.
I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.
Hoped this helped,
JoeLouis2
I need help on this question. I hope you can help!
Answer:
54
Step-by-step explanation:
Since triangle ABC ~ DEF
Angle A = Angle D
Angle A = 54
solve the equation 4^y = 8
Answer:
y = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
4 = 2² and 8 = 2³ , then
[tex]4^{y}[/tex] = 8, can be written
[tex](2^2)^{y}[/tex] = 2³
[tex]2^{2y}[/tex] = 2³
Since bases on both sides are equal, both 2, then equate exponents
2y = 3 ( divide both sides by 2 )
y = [tex]\frac{3}{2}[/tex]
y = 1.5
Step-by-step explanation:
[tex] {4}^{y} = 8[/tex]
Take the logarithm of both sides and you will get
[tex] \log {4}^{y} = y \log4 = \log8[/tex]
or
[tex]y = \frac{\log8}{ \log4} = 1.5[/tex]
please help! thank you!
que es el rango en matemáticas
In a normal distribution, what is the probability that a data value will fall below the
data value associated with a z -score of 3.37?
A 99.96%
B 0.04%
C 1%
D 99.95%
Answer:
A 99.96%
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is positive if the raw score is above the mean while the z score is negative if the raw score is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ z=z-score,\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
The probability can be gotten from the normal distribution table. Therefore from the normal table:
P(z < 3.37) = 0.9996 = 99.96%
helpppp pleaseee its hard
Answer:
Ten thousands
Step-by-step explanation:
Replace all other digits with zero
This gives 40,000
Ten thousand (10,000) has the same amount of digits
PLS HELP Find the value of x.
A. 4
B. 2
C. 7
D. 14
Answer:
ANSWER IS B
Step-by-step explanation:
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4/2
x = 2
Answer:
B. 2
Step-by-step explanation:
The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:
5(2) - 3 = 3(2) + 1
10 - 3 = 6 + 1
7 = 7
So x is 2
Write the slope-intercept form of the equation of the line described.
61) through: (-5, -3). parallel to y=-2/5-2