Answers
Given:
The figure of a rhombus QRST.
To find:
A. The value of x.
B. The measure of angle RQP.
Solution:
A. We need to find the value of x.
We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.
[tex]m\angle RPS=90^\circ[/tex] [Right angle]
[tex](5x+15)^\circ=90^\circ[/tex]
[tex](5x+15)=90[/tex]
[tex]5x=90-15[/tex]
[tex]5x=75[/tex]
Divide both sides by 5.
[tex]x=\dfrac{75}{5}[/tex]
[tex]x=15[/tex]
Therefore, the value of x is 15.
B. We need to find the measure of angle RQP.
From the given figure, it is clear that
[tex]m\angle RQP=(2x+3)^\circ[/tex]
Putting [tex]x=15[/tex], we get
[tex]m\angle RQP=(2(15)+3)^\circ[/tex]
[tex]m\angle RQP=(30+3)^\circ[/tex]
[tex]m\angle RQP=33^\circ[/tex]
Therefore, the measure of angle RQP is 33 degrees.
Related Questions
26. What is the approximate length of RS 7
18 in
S
21 in
R
A. 9.5 in
B. 10.8 In
C 12.1 In
D. 12.8 In
Answers
i need the answer to this question
Answers
Answer:
SR=1/2*PO
5x-38=1/2*7x-49
2(5x-38)=7x-49
10x-76=7x-49
10x-7x=-49+76
3x=27
x=27/3
x=9
substitute the value of x in RS
5x-38
5*9-38
45-38
7
Step-by-step explanation:
Answer:
RS = 7
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is
5x - 38 = [tex]\frac{1}{2}[/tex] (7x - 49) ( multiply both sides by 2 to clear the fraction )
10x - 76 = 7x - 49 ( subtract 7x from both sides )
3x - 76 = - 49 ( add 76 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 5x - 38 = 5(9) - 38 = 45 - 38 = 7
Roll needs to make a sauce mixture of 2/5 sand and 2/5 of clay and one for Pete Mas to put his plants yes 75 pounds of sand how many total pounds of soil rather have it he adds clay and Pete Moss to the sand to make the correction mixture
Answers
Answer:
187.5 pounds
Step-by-step explanation:
Fraction of sand = 2/5
Fraction of clay = 2/5
Fraction of peat = 1/5
Pounds of sand = 75
The total pounds of soil required to make Correct mixture : let that be x
Hence,
Using the sand Fraction and pounds which we know :
2/5 of x = 75
2x / 5 = 75
Cross multiply :
2x = 75 * 5
2x = 375
x = 375 / 2
x = 187.5
Required pond of sand =187.5 pounds
Properties of Triangles HELP
Answers
Answer:
x = 14
m<D = 57
Step-by-step explanation:
All triangle interior angles add up to 180.
<D and <E are congruent because of the congruent legs which makes them congruent angles:
4x + 1 + 4x + 1 + 5x - 4 = 180
13x - 2 = 180
13x = 180 + 2
13x = 182
x = 14
m<D:
4x + 1
4(14) + 1
56 + 1
57
Help!, I need the answer in 30 minutes! For which values of the parameter p equation x ^ 2-px + 3 = 0 has a root in the range [0; 1], and another that does not belong to this range?
Answers
Answer:
p = 4
Step-by-step explanation:
Given the expression x ^ 2-px + 3 = 0
If x = 0 is a solution
Substitute into the expression
0² - 0p + 3 = 0
-0p = -3
p = 3/0
p cannot be determined for this root
If x = 1
1² - 1p + 3 =0
1 - p + 3 = 0
-p+4 = 0
-p = -4
p = 4
Hence the va;ue of p is 4
An equation with no solutions
3x + 7 = X + 3
Answers
Answer:
X = -2
Step-by-step explanation:
Hope this helps
Pls do it for me thank you so much
Answers
Answer:
(a) Attached to this response.
(b)
(i) 0 cups = 0.275
(ii) 4 cups = 0.125
(iii) 8 cups = 0.025
Step-by-step explanation:
(a) The frequency and relative frequency table has been attached to this response.
i. The first column, labelled x, is the number of cups of coffee consumed per day.
ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.
For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.
iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).
For example, the relative frequency of 2 cups of coffee is given by:
r = 7 ÷ 40 = 0.175
Also, the relative frequency of 4 cups of coffee is given by;
r = 5 ÷ 40 = 0.125
(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;
Pₓ = frequency of x ÷ total frequency
This is also the relative frequency of x
Therefore,
(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;
the relative frequency of 0 = 0.275
(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;
the relative frequency of 4 = 0.125
(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;
the relative frequency of 8 = 0.025
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answers
Answer:
Option 3
Step-by-step explanation:
y=3+x is a straight line that runs through y=3 and x=-3
So your 3rd option here is the one.
Answer:
I think it's the third option
The image below shows F with perpendicular tangent lines at points A and B.
Will be reported if you add something that does not match the question
Answers
Answer:
∠AFB= 90°∠ADB= 360-90
270Shape AFBC →is a Square because every angle is 90 degrees.--------------------------
hope it helps...
have a great day!!
Learning task 1.
Look around inside your house, illustrate five (5) thigs which represents a circle
i will make you brainlest if u answer this properly
Answers
help!!!!!!! me plzzzz!!!!
Answers
Answer:
1.0
2.undefined
Step-by-step explanation:
Answer:1) 0, 2) is undefined
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 7.1 ft, rounded to the nearest tenth of a cubic foot?
Answers
Answer:
7 feet i think? i may be wrong tho
Step-by-step explanation:
y=7(3)^-4 please helpppp
Answers
Answer:
Step-by-step explanation:
y=7(3)^-4
y=7*1/3^4
y=7/81
Circles Test
Assume that lines that appear tangent are tangent. Find the value of the variables,
208
A. a = 40; b=130; c = 70
B. a = 36; b=140; c = 70
Ca = 20; b=160; C = 90
D. a = 40; b=140; c = 90
Answers
Answer:
[tex]D. a = 40; b=140; c = 90[/tex]
Step-by-step explanation:
[tex]a=2(20)\\\\=40[/tex]
---------------
[tex]b=180-40\\\\=140[/tex]
---------------
[tex]c=90[/tex]
--------------------------
hope it helps...
have a great day!!
i need to find the missing lengths
Answers
Answer:
20
Step-by-step explanation:
Natalie wants to buy a hoodie for $39.50.If the sales tax rate is 7%,what will be the amount of sales tax?
Answers
Answer:
2.77
Step-by-step explanation:
39.50x.07=2.77
PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEEEEE
Answers
Answer:
hiii
zom I'd 213 088 8336
p 0
come for s
Answer:
113 degree
Step-by-step explanation:
missing angle is 113 degree because the relation between 113 degree and missing angle is alternate interior angle and alternate interior angles are always equal.
The amount of rona cases in Gotham city is 540 people for the first ½ of 2020. In July, a rona spike at the rate of 5.2 people for each day in the month hits. Additionally, the joker has infected all of Arkham Asylum’s 225 patients with the virus. What month will you hit 1,000 cases of rona in Gotham?
Answers
Answer:
Imma but it in the comments because i can't put it on here plus i can't put the thing on here either that's why i didn't do it yesterday
Step-by-step explanation:
YO HELP ME OUT!!!! Question is in the screenshot below PLEASE answer correctly, I am running out of time!
Answers
Answer:
V = 696.91
Step-by-step explanation:
Volume of a sphere formula:
V = 4/3πr³
Given:
d = 11
r = d/2
r = 5.5
Work:
V = 4/3πr³
V = 4/3π(5.5)³
V = 4/3π(166.375)
V = 696.91
Find the volume of a pyramid with a square base, where the area of the base is 19 cm^2 and the height of the pyramid is 23.8 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answers
Answer:
150.7
Step-by-step explanation:
Formula to the find volume of a pyramid:
V=1/3 (B)(h)
V=1/3 (19) (23.8)
(please hurry) Which expression is equivalent to -6x³•x•y²•y^6?
-6x³y^8
-6x²y^12
-6^4y^8
-6^4y^12
Answers
Answer:
The third one
Step-by-step explanation:
Answer:
the third one
Step-by-step explanation:
3.9047 rounded to the nearest thousandth
please help
Answers
Answer: 3.9047 rounded to the nearest thousandth is 3.9050, or 3.905.
Step-by-step explanation:
You round 47 up to 50, which gets you to 3.9050, which you can then reduce it to 3.905.
NEED HELP HERE PLEASE!! π∆π
Give the value of the six trigonometric ratios in the figure.
Answers
Answer:
Step-by-step explanation:
take theta as reference angle
using sin rule
sin theta=opposite/hypotenuse
sin theta=3/5
sin theta=0.60
theta=sin 37 degree
therefore the value of theta is 37 degree.
In the Tide Pool tank at the Atlantic Aquarium, there are 10 crustaceans and 25 fish. The Deep Blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the Deep Blue tank.
How many fish are in the Deep Blue tank?
Answers
Answer:
It would be 125 fish.
Step-by-step explanation:
This is because since there are 10 crustaceans for every 25 fish, there are 2.5 times more fish than crustaceans. Therefore, if there were 50 crustaceans, you would do 50 * 2.5 to get 125 fish.
find the surface area of a square based pyramid with a side length of 5cm and a slant height of 5cm
Answers
Answer:
Step-by-step explanation:
The surface area of a square pyramid = 1/2 * slant height * base perimeter + area of base
The slant height is 5 cm
The base perimeter is 4 * 5 cm = 20 cm
The area of the base is 5 cm * 5 cm = 25 cm**2
Plugging into the formula the area =
1/2 * 5 cm * 20 cm + 25 cm**2 =
5 cm * 10 cm + 25 cm**2 =
50 cm**2 + 25 cm**2 = 75 cm**2
please help! i will give brainliest if you answer all and correctly
Answers
Answer: a is 21 b is 45 and c is yes more people are going above because the median is above the speed limit
Step-by-step explanation:
Find the solution by grouping
Answers
Answer:
Step-by-step explanation:
[tex]x^{5} -x^{4}-2x^{3} +2x^{2} =0\\\\x^{4} (x-1) -2x^{2} (x-1) =0\\\\(x^{4} -2x^{2} ) (x-1)=0\\\\ x^{2} (x^{2} -2)(x-1) =0[/tex]
solutions are
x² =0 so x=0
x²-2 = 0 so x= ±√2
x-1 =0 so x= 1
The perimeter of a rectangle is 35 cm. The rectangle's area (in sq. cm) as a function of its length (in cm) is graphed.
What is the approximate average rate at which the area decreases, as the rectangle's length goes from 13 cm to 16 cm?
Options:
1: 10 1/3
2: 10 2/3
3: 11
4: 11 1/3
Answers
Answer:
2
What is the extract trying to achieve? in The Explorer’s Daughter
Find the vertex of the graph of the equation $y = -2x^2 + 8x - 15.$
Answers
Answer:
(2,-7)
Step-by-step explanation:
express 450 g as a percentage of 20 kg
Answers
Answer:
Step-by-step explanation:
convert either gram into kg or kg into gram
lets convert kg into g
1 kg=1000g
20kg=1000*24g
=20000g
450/20000*100%
450/200%
2.25%
first convert 450 g to kg = 0.45 kg
Now 0.45 kg as a. percentage of 20 kg = 0.45/20×100= 2.25%