Answer:
w = 70°
x = 70°
y = 40°
z = 40°
Step-by-step explanation:
Notice that two sides of the figure are parallel to each other according to the arrow marking on both sides. This means that by definition this figure must be a parallelogram. This also means that the two other sides must be parallel as well so that there are also two sets of parallel sides.
There is also a transversal (line that cuts across two lines) of which are parallel, this forms different angles which are corresponding, alternate interior, alternate exterior, and supplementary.
70° at <BDC and w are alternate interior which means that they must be the same measure.
Therefore
w = 70°.
Since a parallelogram consists of 2 equal triangles, and we know that two angles are both 70° given that w is 70°, all interior angles must add up to 180° according to the triangle angle sum theorem. So 70° + 70° + y° = 180°.
140° + y° = 180°
–140° –140
Therefore
y = 40°.
Since angle x is exterior and adjacent of (next to) the two interior angles (70° and y), they are supplementary pairs which means that they add up to 180°, because they form a straight line.
Knowing that y is 40°,
x° + 40° + 70° = 180°.
x° + 110° = 180°
–110 –110
Therefore
x = 70°.
Now since angle z is alternate interior of angle y, alternate interior angles have the same measure by definition.
Given that we already know the measure of y = 40°. z must also be 40°
Therefore
z = 40°.
Answer:
∠W = 70°
∠X = 70°
∠Y = 40°
∠Z = 40°
Step-by-step explanation:
∠W = 70° because they are alternate interior angles
∠Y = 180° - 70° + 70° = 40° because all the interior angles of a triangle add up to 180°
∠X = 180° - 70° - ∠Y = 70°
∠Z = ∠Y + ∠70° - ∠W = 40°
Please help and give right answers please!
Answer:
7
Step-by-step explanation:
x * x = 7x
7 x 7 = 7 x 7
49 = 49
so if x is 7, the equation is true...
I need help with this thank you i will give branliest
Answer:
A
Step-by-step explanation:
Answer:
option A is correct
Step-by-step explanation:
because angle 1 and angle 5 are not equal
PLZ HELP I WILL GIVE BRAINLIST IF YOU ANSWER ALL OF THE QUESTIONS
How far is the elephant away from the grass in the following graph?
A. 4 units
B. 5 units
C. 6 units
D. 7 units
What is the area. Also if you can explain that would be great.
Answer:
11m^2
Step-by-step explanation:
So first it would probably help to split it into different shapes. then you find the area of those shapes and add them.
36 + 45 + 30 = 111 m^2
PLEASE HELP I BEG OF YOU
( f + g ) ( x ) = 3^x + 10 x + 5 x - 3
Answer:
-5x+3
Step-by-step explanation:
If f(x) = 3x
+ 10x and g(x) = 5x – 3, find (f – g)(x).
A. 18x – 3
B. 3
x
+ 5x + 3
C. 3
x
+ 15x – 3
D. 3
x
– 5x + 3
A ball is thrown from an initial height of 6 feet with an initial upward velocity of 17 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=6+17t-16t^2
Find all values of t for which the ball's height is 10 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
t=___seconds
Answer:
6 + 29t - 16t^2 = 18
16t^2 - 29t + 12 = 0
t = (29 +- √(29^2 - 4*12*16))/32
t = (29 +- √73)/32
t = 0.639249882958827, 1.1732501170411
Step-by-step explanation:
The values of t for which the ball's height is 10 feet are approximately 0.71 seconds or 0.35 seconds
The given equation for the height of the ball is a quadratic equation, which is solved using the quadratic formula to find the values of t.
The quadrature formula for ax² + bx + c = 0 is:
[tex]x = \frac{-b \pm \sqrt{(b^2- 4ac)}}{2a}[/tex]
Given that,
The initial height of the ball: 6 feet
The initial upward velocity of the ball: 17 ft/s
The equation for the ball's height after t seconds: h = 6 + 17t - 16t²
The goal is to find the values of t for which the ball's height is 10 feet.
To find the values of t when the ball's height is 10 feet,
Set the equation h = 10 and solve for t.
Plugging in the given equation h = 6 + 17t - 16t²
And substituting h with 10, we get:
10 = 6 + 17t - 16t²
Rearrange the equation to solve for t.
16t² - 17t + 4 = 0
To find the values of t, we can use the quadratic formula:
In this case,
a = 16,
b = -17, and
c = 4.
Plugging these values into the quadratic formula, we get:
[tex]t = \frac{17 \pm \sqrt{((-17)^2- 4 \times 16 \times 4)}}{2 \times 16}[/tex]
Simplifying this equation, we have:
[tex]t = \frac{(17 \pm \sqrt{(289 - 256)}}{32}[/tex]
[tex]t = \frac{(17 \pm \sqrt{33})}{32}[/tex]
t ≈ 0.710 or 0.351
Hence,
Rounding to the nearest hundredth, we get two possible values for t:
t ≈ 0.71 seconds or 0.35 seconds
To learn more about quadratic equations visit:
https://brainly.com/question/30098550
#SPJ4
If you can help me with this exercise please?
Answer:
The volume of each prism is 21 1/4
I need help plzz.
Dilate this by 1/3
A conical tank holds about 549.5 cubic feet of water. The tank is 21 feet tall. What is the radius of the tank? Use 3.14 for π.
A. 5
B. 10
C. 15
D. 20
please help, i really need help
How do you subtract mixed numbers?
Answer:
Step-by-step explanation:
lets take 2[tex]\frac{2}{5}[/tex] - 1[tex]\frac{3}{10}[/tex]
you have to convert 2 into [tex]\frac{10}{5}[/tex] so it would be [tex]\frac{12}{5}[/tex]
you also have to convert 1 into [tex]\frac{10}{10}[/tex] so it would be [tex]\frac{13}{10}[/tex]
since the denominators and different were ganna have to make them the same by mutiplying
you can easily do 5x2 to get 10
since you multiplied by 2 on the bottom do it on the top and you will get [tex]\frac{24}{10}[/tex]
now subtract them [tex]\frac{24}{10}[/tex]-[tex]\frac{13}{10}[/tex]=[tex]\frac{11}{10}[/tex]
24-13=11 but you need to simplify it and make it [tex]1\frac{1}{10}[/tex]
help me pls i really need it and i will lov u forever and mark brainliest<3
Answer:
i would think false- sorry if it's not correct :/
Step-by-step explanation:
HELP PLS I GIVE BRAINLIEST ILL REPORT IF YOU USE ME FOR POINTS
Answer:
1. x less than or equal to 1/3
2. x is less than 1
3. x is greater than 6
4. x is less than -2
Step-by-step explanation:
What inequality does the red graph show?
The foundation for a new building at the high school is rectangular in shape. The area of the foundation is 5x^3 + 4x^2 - 10x - 8 square meters. If the width equals (x^2 - 2) meters. What is the length of the rectangular foundation?
We should divide x^2-2 from the equation.
I will spare you from the boring steps of equation dividing.
Now getting 5x+4
Just do this like you are doing long division but instead using variables, be careful there is no x term in the second expression so you have to give it an empty space :)
Hi can you pls answer this is due in a bit i will give brainiest and 5 points,
Answer:
9.) 3.4 10.) 0.26 11.) 4.5 12.) 4.95
Step-by-step explanation:
A water well drilling rig has dug to a height of -40 feet after one full day of continuous use.
Assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours?
Answer:
-65 or -67
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST!!
Answer:
2
Hope it helps!
blob
Step-by-step explanation:
Fifteen is % of 120.
Thirty-five percent of 160 is .
Forty-eight is % of 60.
Eleven is 20% of .
Match the terms to their definition.
1. expression. a phrase that represents a mathematical relationship
2. equation a statement that two expressions are equal
Answer:
15 is 12.5% of 120
35% of 160 is 56
48 is 80%of 60
11 is 20% of 55
1.Equation- a statement that two expressions are equal.
2.Expression- a phrase that represents a mathematical relationship
Step-by-step explanation:
Hope this helps! Sorry if any are wrong!
IM STRUGGLING SO BAD HELP ;-; Find the area of the shaded region. Use 3.14 for n.
2 yd
2 yd
3 yd
6 yd
-8 yd —
sydd syd
Syd →
Answer:
57.74 yd²
Step-by-step explanation:
First, find the area of the "rectangle" as if there weren't different figure cut out of it:
(5+6+5)8
16(8)
128 yd²
Next, we are going to find the area of the four figures that are cut out from the rectangle. The circle at the bottom, the rectangle at the top, and the triangles on each side.
The first shape we can tackle will be the circle. The formula for finding the area of a circle is πr² or in this case 3.14r². The diameter of the circle is 6 yards, and half of the diameter is equal to the radius which gives us 3 yards as the length. Now simplify the expression:
3.14(3)²
3.14(9)
28.26 yd² is the area of the circle.
Next, we're going to find the area of the rectangle at the top. It's dimensions are 6 yards by 3 yards, which gives us an easy 18 yards² as the area (lxw).
Now we're going to solve for the area of the triangles. By the looks of the general dimensions of this shape, I am assuming these triangles are congruent to each other, which means we will only have to solve for its area once. To find the area of a triangle we have to use the expression: (lxw)/2. However, we don't know one of those dimensions. We know that the length is 8 yards as shown in the diagram, and by using the widths 2 yards and 5 yards, and their relation to the triangle, we can deduce the width is 3 yards. Now we have values necessary to simplify the expression:
(8x3)/2
24/2
12 yards² is the area of one triangle.
Because I stated previously that the triangles are congruent, they both have an area of 12 yards. Now we add the areas of each of the four figures, and subtract them from the area of our large rectangle:
128-(12+12+28.26+18)
128-70.26
57.74 yd² is the area of the shaded region
What is 2.7% of 197,000? (Please have equation included)
Answer:
5319
Step-by-step explanation:
2.7%=0.027
0.027*197000
27*197
5319
help please! screenshot shows the problem
How many place values follow the decimal point in the problem below?
2.01 x 4.1
Answer:
3
Step-by-step explanation:
There are 3 digits behind the decimal all together
MATH SMARTIES HELP ME PLEASE AND SEE IF I"M CORRECT AND PLEASE BE HONEST AND IF I AM NOT CORRECT CAN YOU TELL ME THE CORRECT ANSWER PLEASE
Answer:
Step-by-step explanation:
There are only two even numbers greater than 4, 6 and 8 specifically and there are a total of 8 numbers on the spinner so
P(E>4)=2/8=1/4
The answer is option C.
because, there are 8 parts in the spinning wheel. which mean the bottom part is gonna be 8. its not 7 because, the closer number is 1. so that means the answer is option D. but if you simply it you'll get 1/4.
sorry if wrong.
Pls help ASAP need help pls
Answer:
5. The raange Is 16
and the IQR is 1
6. Option 3. (C)
Step-by-step explanation:
will give brainliest
Answer:
88 square inches
I hope this helped :))
Answer this question please and thank you
Step-by-step explanation:
0.116+7.810=7.926
7+1=8
0.116 -------> 0
+ 7.81 --------> 8
-------------------------
7.926 -------> 8
PLZ HELP I WILL GIVE BRAINLIST IF YOU ANSWER ALL OF THE QUESTIONS
Answer:
a)x=1
b)(1,-9)
c)(-2,0) & (4,0)
d)(0,-8)
Step-by-step explanation:
Goodness, I have nothing to do, so here we go:
a)x=1
b)(1,-9)
c)(-2,0) & (4,0)
d)(0,-8)
P.S. Eternalvanimelda27 is my sister, so we have the same answer, but pls give me brainliest I answered earlier.
please help will give brainiest if right
Answer:
C. and E.
Step-by-step explanation:
Those options are the only ones that have 7th grade STUDENTS in them. In other words, the other options have other grades and teachers which are not what is necessary for this problem.
Have a good day and good luck!