Answer: D
Step-by-step explanation:
The measure of one interior angle of a parallelogram is 50 degrees more than 4 times the measure of another angle
The measure of the smaller interior angle is
and the measure of the larger interior angle is?
Answer:
smaller ∡ = 26°
larger ∡ = 154°
Step-by-step explanation:
opposite angles are congruent
adjacent angles are supplementary
in this problem, the angles are supplementary
'x' = measure of smaller angle
x + 50 + 4x = 180
5x = 130
x = 26
The given information and the relationship between the angles of a
parallelogram can be used to find the interior angles.
The measure of the smaller angle is 26°The measure of the larger angle is 154°Reasons:
A property of a parallelogram is that the diagonally opposite angles are
equal, and the adjacent angles are supplementary.
Therefore, two of the four interior angles of a parallelogram are equal.
Let x and y represent the two angles of different measure in the
parallelogram
y = 4·x + 50°
y + x = 180°
Which gives;
y = 180° - x
Therefore;
180° - x = 4·x + 50°
180° - 50° = 4·x + x
130° = 5·x
x = 130° ÷ 5 = 26°
x = 26°y = 4 × 26° + 50° = 154°
y = 154°Therefore;
The measure of the smaller interior angle, x = 26°The measure of the larger interior angle, y = 154°Learn more about the properties of a parallelogram here:
https://brainly.com/question/9793817
Triangle DEF is on a coordinate plane with its
vertices located at D( – 3,5), E( – 3, - 2), and
F(3,0). What is the area of ADEF in square
units?
Answer:
[tex]21\ \text{square units}[/tex]
Step-by-step explanation:
The points are [tex]D(-3,5), E(-3,-2)[/tex] and [tex]F(3,0)[/tex].
Area of a triangle is given by
[tex]A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}[/tex]
[tex]\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}[/tex]
[tex]\Rightarrow A=21\ \text{square units}[/tex]
The area of the given triangle is [tex]21\ \text{square units}[/tex].
PLSSS HELP GEOMETRY!!! LOOK AT IMAGE!
Answer:JI=16, JH=15, <W=37, <J=114, <I= 29
Step-by-step explanation:
When naming congruent triangles, the corresponding points are named in order from one triangle to another.
Since it states triangle WXY is congruent to triangle HJI this means that W corresponds to H, X corresponds to J and Y corresponds to I.
JI corresponds to XY, JH corresponds to XW angle W corresponds to angle H, angle J corresponds to angle X and angle I corresponds to angle Y. Use the triangle congruency statement as your roadmap.
To find the missing angle in the triangle, use the triangle angle sum theorem which states that all interior angles of a triangle sum to 180.
37+114+<I= 180. Combine like terms.
151+<I=180. Subtract 151 from both sides.
<I= 29
Which expression is equivalent to 28a - 7b?
A. 4(7a - 7b)
B. 7(28a - b)
C. 7(4a - b)
D. 7(a - 7b)
I need help with these questions (see image). Please show workings.
Answer:
Inscribed angle is half of the intercepted arc.Central angle is the same size as the intercepted arc.As per above two statements we have:
y = 2*58° = 116°and
z = 90°/2 = 45°Answer:
y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle
z=90/2=45
inscribed angle is half of central angle of the cyclic quadrilateral
A rectangular playground is 28m long and 15m wide. If all sides are
extended lm outward, what is the area of the enlarged playground ?
Answer:
464m^2
Step-by-step explanation:
Given data
Dimension of the regular playground
Length= 28m
Width= 15 m
We want to extend both sides by 1 m
Length= 28+1= 29m
Width= 15+1= 16m
Hence the area
Area=Length*Width
Area= 29*16
Area= 464m^2
The Area is 464m^2
Please I beg help show work
A 94
B 1
C 47
D 3
Answer:
x = 3
Step-by-step explanation:
15x + 2 = 9x + 20
Now solve for x
Subtract 2 from each side
15x = 9x + 18
Subtract 9x from each side
6x = 18
Divide each side by 6
x = 3
Answer: x=3
Step-by-step explanation:
When you have two parallel lines cut by a transversal (line that goes across them), it forms special angles. One of those special angles is alternate interior angles. Alternate meaning opposite sides of the transversal and interior meaning on the inside of the parallel lines. The special relationship of these angles is that they are equal.
9x+20 and 15x+2 are alternate interior angles which means they are equal. Set them equal to each other to solve for x.
9x+20= 15x+2. Subtract 9x from both sides.
20= 6x+2. Subtract 2 from both sides.
18=6x. Divide both sides by 6.
3=x
Elianna studied data collected on the school hockey team for one season. She noticed that a player on the team had 13 successful shots out of a total of 50 attempted shots. To find the percentage of the total shots attempted by this player that were successful, Elian set up the equivalent ratios below.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but based on the information given in the question, since she noticed that a player on the team had 13 successful shots out of 50 attempted shots.
The percentage of the total shots attempted by this player that were successful will be:
= 13/50 × 100
= 26%
Which expression is equivalent to the area of square A, in square inches?
A
10 in.
24 in.
(10)(24)
o
10(24)
Saun and Exit
Answer:
10^2+24^2
Step-by-step explanation:
got 100% on the quiz
The product of a binomial and a trinomial is x3+3x2-x+2x2+6x-2 Which expression is equivalent to this
product after it has been fully simplified?
I’ll give brainliest!! Plz answer!
Look at the image for the question
HENCE , ANSWER IS,8/9
mark me as brainlist
−3(3h−1)≤−7h−5
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Answer:
h<=4
Step-by-step explanation:
-9h+3<=-7h-5
-9h+7h<=-5-3
-2h<=-8
h<=4
Can somone please help me and explain very much appreciated and this is 7th grade math btw
Answer:
4 8.95h + 10 < 115
Step-by-step explanation:
Answer: 4) 8.95h + 10 < 115
Step-by-step explanation:
We know the inequality will be equal to less than 115 since it states that the order was less than $115.
The equation would look like: some amount of shin guards times 8.95 each + $10 shipping = less than $115
8.95h + 10 < 115
(h in the given equation is the amount of shin guards)
Simplify the expression.
7.5(–5.9)
–44.25
14.25
–11.21
44.25
Answer:
[tex] - 44.25[/tex]
Step-by-step explanation:
All i did was put it in a calculator
Answer:
hi the answer is :
-44.25
Use the distributive property to write an expression that is equivalent to 8(a + 4).
?
The Weston family spends a maximum of
$50.00 per month on entertainment. Write and
graph an inequality to represent this.
Answer:
y < 50x
Step-by-step explanation:
In order to graph this inequality, you first need to identify the important word(s) here to find the inequality sign; in this case, it would be "maximum of $50" a month. Since it's a maximum of $50 a month (or less than $50 a month), you can write it as:
Where m is months and c is total cost, c < 50m
If you need to graph this, you can write it as y < 50x. The cost is y since it's the output, and months is x since that's the input.
A rectangle has a length of 4 meters. The width is 2 meters more than the length. Work out the area.
Answer:
24 m^2
Step-by-step explanation:
Given data
Length= 4 meters
Width= 2+4= 6 meters
We know that the expression for the area of a rectangle is given as
A= Lenght* Width
A= 4*6
A= 24m^2
Hence the area is 24 m^2
Find the value of x. Round to the
nearest tenth.
26
12
Х
x = [ ?
Answer:
x = 10.8
Step-by-step explanation:
cos 26° = x/12
0.8988 = x/12
x = 10.785
help please i’ll give points !!
Answer: C :)
Step-by-step explanation:
It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.
someone please help me I have 10 minutes to submit it!!
Answer:
x = 5 or x = -5
Step-by-step explanation:
| a b |
| c d |
det = ad - bc
| x 4 |
| 3 x |
det = x * x - 4 * 3 = x^2 - 12
x^2 - 12 = 13
x^2 = 25
x^2 - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or x = -5
Evaluate each function.
f(t) = t– 5t; Find f(t - 2)
Answer: -4t+8 is your answer.
also can you make me the brainiest please
Thank You
-Parshv
Graph the inequality on the axes 2x-y>5
Answer: x>1/2y+5/2 look at the picture it going to be the graph
Step-by-step explanation: Hope this help :)
I need help on this. Can someone explain it?
Answer:
noooooooooooooooooooooo
The perimeter of a square patio is (8x - 28). What is the length of one side?
Answer:
Length is 7, Permimeter is 28
Step-by-step explanation:
Perimeter=4×side
(8x-28)=4×x [let length be x]
8x-28=4x
8x-4x=28
4x=28
x=28÷4
x=7
Length = x = 7
Perimeter=(8x-28)
=(7×8)-28
=56-28
=28
The ___________________________ of an object is how heavy the object is
Answer:
Mass
Step-by-step explanation:
Answer:
the answer is weight.
Step-by-step explanation:
hope this helps!! please mark brainliest.
Find the area of a parallelogram with these dimensions.
base = 6 meters
height = 2.25 meters
Answer:
13.5
Step-by-step explanation:
math i did it somehow
9. Which
of the following is a proper fraction?
A 12/10
B. 5/4
C.7/10
D.10 1/9
Answer:
c
Step-by-step explanation:
because in a proper fraction the numerator is less than the denominator
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
Answer:
The amount Lilian needs to invest is $5,160
Step-by-step explanation:
The parameters of the amount Lilian is going to invest in an account are;
The interest rate the account pays = 5.7%
The final amount the investment is expected to reach after the given time period = $7,600
The number of years of the investment = 7 years
The formula for compound interest is presented as follows;
[tex]A = P \cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}[/tex]
Where;
A = The final amount = $7,600
P = The amount Lilian is to invest
r = The interest rate = 5.7% = 0.057
n = The number of times the interest is applied per time period = 1
t = The number of period that passes = 7 (years)
Therefore, we get;
[tex]7,600 = P \cdot \left(1 + 0.057 \right)^{7}[/tex]
∴ P = 7,600/(1 + 0.057)⁷ = 5,155.7123754
The amount Lilian needs to invest (rounded to the nearest ten dollars) for the value of the account to reach $7,600 in 7 years, P = $5,160
Which of the following statement(s) describes the rate of change of f over the interval 1.5 SXS 3? Select all that apply.
A. The rate of change is 1/2
B. The rate of change is 2
C. The rate of change is constant
D. The rate of change is increasing
Someone help please
Answer:
A=(b^2)h/2
Step-by-step explanation: