Heya!
[tex] \star \underline{ \underline{ \large{ \text { {Question}}}}} : [/tex] In the given figure , PQRS is a rhombus and SRM is an equilateral triangle. If SN [tex] \perp[/tex] RM and [tex] \angle[/tex] PRS = 55° , find the size of [tex] \angle[/tex] QSN.
~Thanks in advance!
Answer:
[tex]m\angle QSN=65^\circ[/tex]
Step-by-step explanation:
In the given figure, PQRS is a rhombus and SRM is an equilateral triangle.
We are also given that SN⊥RM and that ∠PRS = 55°.
And we want to find the measure of ∠QSN.
Remember that since PQRS is a rhombus, the angles formed by its diagonals are right angles. Let the intersection point of the diagonals be K. Therefore:
[tex]m\angle RKS=90^\circ[/tex]
Now, RKS is also a triangle. The interior angles of all triangles must be 180. Thus:
[tex]m\angle RKS+m\angle KSR+m\angle SRK=180[/tex]
Substitute in known values:
[tex]90+55+m\angle KSR=180[/tex]
Solve for ∠KSR:
[tex]m\angle KSR+145=180\Rightarrow m\angle KSR=35^\circ[/tex]
Since SRM is an equilateral triangle, this means that:
[tex]m\angle SRM=m\angle RMS=m\angle MSR=60^\circ[/tex]
Note that RNS is also a triangle. Therefore:
[tex]m\angle SRM+m\angle RNS+m\angle NSR=180[/tex]
Substitute in known values:
[tex]60+90+m\angle NSR=180[/tex]
So:
[tex]m\angle NSR+150=180\Rightarrow m\angle NSR=30^\circ[/tex]
∠QSN is the addition of the two angles:
[tex]m\angle QSN=m\angle KSR+m\angle NSR[/tex]
Therefore:
[tex]m\angle QSN=35+30=65^\circ[/tex]
Answer:
[tex] \displaystyle\sf \angle \: QSN = {65}^{ \circ} [/tex]
Step-by-step explanation:
we are given a rombus and an equilateral triangle and [tex]\angle PRS[/tex]
said to figure out [tex]\angle QSN[/tex]
we know that
every angle of an equilateral triangle is 60°
so
[tex]\displaystyle \angle SRM[/tex] should be 60°
the point where two diagonals of triangle intercept be x
recall the diagonals of a rhombus intercept each other at right angles
so [tex]\displaystyle \angle SXR [/tex] should be 90°
we are also given SN [tex] \displaystyle \perp[/tex] RM
so [tex]\displaystyle\angle RNS[/tex] should be 90°
notice that SXRN is a quadrilateral
so the sum of its interior angles is 360°
according to the question
[tex] \displaystyle\sf\angle RNS + \angle SXR + \angle PRM + \angle \: QSN = 360[/tex]
substitute the value of [tex]\angle RNS,\angle SXR\: and \: \angle PRM[/tex]
[tex] \displaystyle\sf {90}^{ \circ} + {90}^{ \circ} + {115}^{ \circ} + \angle \: QSN = {360}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle\sf {295}^{ \circ} + \angle \: QSN = {360}^{ \circ} [/tex]
cancel 295 from both sides:
[tex] \displaystyle\sf {295}^{ \circ} - {295}^{ \circ} + \angle \: QSN = {360}^{ \circ} - {295}^{ \circ} [/tex]
hence
[tex] \displaystyle\sf \angle \: QSN = {65}^{ \circ} [/tex]
Brett is filling up his swimming pool. It is a cylindrical shape. How many
cubic meters of water will it take to fill the pool to a height of 1.2 meters if
the pool has a diameter of 4.5 meters?
Answer:
Step-by-step explanation:
height h=1.2 m
radius r= D/2=4.5=2.25 m
Volume V=πr²h=π(2.25)²×1.2 ≈3.18m³
What are the numbers less than -7 and greater than -15?
Answer:
-8,-9,-10,-11,-12,-13
Step-by-step explanation:
find the solution of given expression
[tex] \sqrt{369 \times 369} [/tex]
369, because
√369 × √369
= √(369 × 369)
= √136161
= 369
Answer:
√{369×369}=√369²=±369
Kim was asked to explain to her friends how to solve 3x? - 2x = 1. She will be using the quadratic formula. What would be the first step?
Which statements descrībe the function fo) =3(3)? Check all that apply
Answer:
?
Step-by-step explanation:
24/5x=-11/4
this confusing
Answer:
1 Simplify \frac{24}{5}x
5
24
x to \frac{24x}{5}
5
24x
.
\frac{24x}{5}=-\frac{11}{4}
5
24x
=−
4
11
2 Multiply both sides by 55.
24x=-\frac{11}{4}\times 5
24x=−
4
11
×5
3 Use this rule: \frac{a}{b} \times c=\frac{ac}{b}
b
a
×c=
b
ac
.
24x=-\frac{11\times 5}{4}
24x=−
4
11×5
4 Simplify 11\times 511×5 to 5555.
24x=-\frac{55}{4}
24x=−
4
55
5 Divide both sides by 2424.
x=-\frac{\frac{55}{4}}{24}
x=−
24
4
55
6 Simplify \frac{\frac{55}{4}}{24}
24
4
55
to \frac{55}{4\times 24}
4×24
55
.
x=-\frac{55}{4\times 24}
x=−
4×24
55
7 Simplify 4\times 244×24 to 9696.
x=-\frac{55}{96}
x=−
96
55
Step-by-step explanation:
Evaluate the equation: 1/2*4√2*6√2
3^2x+1=9^2x-1 solve the equation
is 5x - 2 a non linear function
Answer:
yes
Step-by-step explanation:
The triangle below is isosceles.
Answer:
BC = 20 units
Step-by-step explanation:
if ∡C = ∡B then 2x + 16 = 7x + 6
16 = 5x + 6
10 = 5x
x = 2
BC = 2(2) + 16, which is 20
Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon.
a. How long is the red ribbon if the blue ribbon is:
10 inches?
27 inches?
X inches?
Answer:
If blue ribbon is 10 inches, red ribbon is 3 inches
If blue ribbon is 27 inches, red ribbon is 20 inches
If blue ribbon is x inches, red ribbon is x - 7 inches
Step-by-step explanation:
Given that,
The length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon.Need to find,
How long red ribbon is if blue ribbon is 10 inchesHow long red ribbon is if blue ribbon is 27 inchesHow long red ribbon is if blue ribbon is x inches--------------------------------------------------------------------------------------------------------------
How long is the red ribbon if the blue ribbon is 10 inches?
We know that the formula for find the length of the red ribbon is:
length of blue ribbon - 7 inches = length of red ribbon
Since we know the length of the blue ribbon (10 inches), we can apply that to the formula:
10 inches - 7 inches = length of red ribbon
So, what is 10 - 7? That gives us 3. So, the length of the red ribbon is 3 inches if the length of the blue ribbon is 10.
--------------------------------------------------------------------------------------------------------------
How long is the red ribbon if the blue ribbon is 27 inches?
We do the same as we did above to get 20 inches as the final answer because 27 inches - 7 inches gives us 20 inches as a difference.
--------------------------------------------------------------------------------------------------------------
How long is the red ribbon if the blue ribbon is x inches?
Since we do not know the value of x, we keep the length of the red ribbon to x - 7.
The length of the red ribbon is 3 inches if the blue ribbon is 10 inches.
The length of the red ribbon is 20 inches if the blue ribbon is 27 inches.
The length of the red ribbon is (X - 7) inches if the blue ribbon is X inches.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Length of blue ribbon = x
Length of red ribbon.
= x - 7
Now,
If x = 10
Length of red ribbon.
= 10 - 7
= 3 inches
If x = 27
Length of red ribbon.
= 27 - 7
= 20 inches
If x = X
Length of red ribbon.
= (X - 7) inches
Thus,
The length of the red ribbon is given above.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
Find the value of x. Round to the nearest tenth.
Answer:
i believe it is
Step-by-step explanation:
a 10.7
Answer: c
Step-by-step explanation:
we can use process of elimination because the side that x is on is bigger than the opposite side so there fore it is c
y=2x
5x-y=9
I have to solving systems by substitution
Answer:
okay so Y can be 6
and x can be 3
Step-by-step explanation:
so first 2*x=y
the most most likely answer will be y is 6 and x is 3 because
5*3=15
y=6
15-6=9
so x is 3 and y is 6
Last month the Zimmer family had 20 chickens. This month they have 25. What is the percent increase from last month to this month?
Answer:25 %
Step-by-step explanation:
Given
Last month count of chicken was [tex]20[/tex]
The current count of chicken is [tex]25[/tex]
The percentage increase is given by
[tex]\Rightarrow \dfrac{\text{Present value-Actual value}}{\text{Actual value}}\times 100[/tex]
Putting values
[tex]\Rightarrow \%=\dfrac{25-20}{20}\times 100=\dfrac{5}{20}\times 100\\\\\Rightarrow \%=25\%[/tex]
The table below gives the distribution of milk chocolate M&M's
Color: Brown, red, yellow Green, Orange, Blue
Probability 0.13 0.13 0.14 0.16 0.20 0.24
If a candy is drawn at random, what is the probability that it is not orange or red?
PLEASE HELP!
Answer:
0.67
Step-by-step explanation:
correct
Help please ASAP hsksbeishehsodb
Answer:
D
Step-by-step explanation:
Answer:
Experimental prob
Step-by-step explanation:
Experimental means you actually did it thats why its called experimental.
Theoretical means a guess in the future
Identify the slope and y-intercept of the function y = 4x - 9. O A. The slope is -9. The yintercept is (0,4). B. The slope is 4. The y-intercept is (0, -9). C. The slope is 9. The yintercept is (0,4). O D. The slope is 4. The y-intercept is (0,9).
Answer:
B
Step-by-step explanation:
Answer:
B. The slope is 4. The y-intercept is (0, -9).
Step-by-step explanation:
i took it on A P E X
please help me with this :)
(screenshot below)
Answer:
8b+17=65 is the first equation
b=6
the value of b has increased by 4
Step-by-step explanation:
hope it helps
Sarah can wrap 44 presents in 4 hours. How many present can she wrap in 7 hours.
Answer:
77
Step-by-step explanation:
44÷4=11 she wraps 11 presents in one hour so 11×7=77 so she wraps 77 presentS in 7 hours
Answer:
77
Step-by-step explanation:
First we have to find the unit rate. So we divde 44 by 4 and get 11. To find how any presents she can wrap in 7 hours, we multiply 7 by 11 to get 77. So, she can wrap 77 presents in 7 hours.
Which table shows a probability distribution?
X 0 1 2 3
P −0.3 0.6 0.5 0.2
X 0 1 2 3
P 0.4 0.3 0.4 0.1
X 0 1 2 3
P 0.1 0.5 0.3 0.1
X 0 1 2 3
P 0.3 0.1 0.2 0.2
Considering that it has only positive probabilities, and the sum of the probabilities is of 1, the table that shows a probability distribution is given by:
X 0 1 2 3
P 0.1 0.5 0.3 0.1
When does a table represent a probability distribution?A table is formed by a set of points (x, P(x)), and represents a probability distribution if:
The sum of the probabilities is of 1.All probabilities are 0 or positive.In this problem:
In the first table, there is a negative probability, which is P(X = 0) = -0.3.In the second and the fourth tables, the sums are of 1.2 and 0.8, respectively.Hence, the table that represents a probability distribution is given as follows:
X 0 1 2 3
P 0.1 0.5 0.3 0.1
More can be learned about a probability distribution at https://brainly.com/question/24855677
HELP ASAP DUE IN 4 MINS. Pablo will spend at most $34 on gifts. So far, he has spent $19. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Pablo will spend.
Write your answer as an inequality solved for c.
Answer:
c> 34-19
Step-by-step explanation:
C> 15
A recipe that will serve 15 people requires 3/4 cup of chopped green peppers. If this recipe is changed to serve 8 people, what amount of chopped green peppers will be needed?
2/5 cup
32/45 cup
45/32 cups
5/2 cups
Answer:
2/5 cups
Step-by-step explanation:
(3/4)*8=6
6/15= 2/5
Factor (2x^2+4x) + (1x+2)
Answer:
(2x + 1) (x + 2)
Step-by-step explanation:
2x² + 4x + 1x + 2
They are already arranged, so you just have to find the GCF. 2x² + 4x have the GCF of 2 and 1x + 2 have the GCF of 1.
2x (x + 2) + 1(x + 2)
Now you divide the whole thing by x + 2.
2x (x + 2) + 1(x + 2)/ x + 2
One of them cancels out leaving (2x + 1) and (x+2)
Help ASAP!! please
Carl went out to eat with his family for his birthday. The bill was $87.42, but Carl had a 10% off coupon. If Carl gave a 20% tip, what was the final price he paid for the meal?
Answer:
26.226
Step-by-step explanation:
What is the length of leg s of the triangle below?
Answer:
d
Step-by-step explanation:
x them up
A cat eats 1/2 cup of food a day. Which equation represents
how much food it eats over time?
Y= 1/2x
Y=-2x
Y= 2x
Y=-1/2x
Answer:
Y = 1/2x
Step-by-step explanation:
x is the amount of cups the cat eats so if it eats 1/2 cup of food each da it would be 1/2x
#3. Write the slope-intercept equation of
the line.
Answer:
y=-3x+4
Step-by-step explanation:
a pilot is flying an airplane at an elevation of 17,500 feet. she is increasing her elevation at a rate of 2,500 feet per minute. which number line shows the solution set for the number of minutes the pilot could increase her elevation and be above 25,000 feet?
Answer:
y= *greater than or equal to sign* 2500x+17500
The answer is: A
Step-by-step explanation:
Hope this help :)
Answer:
It's C
Step-by-step explanation:
I put in A for my exam but it said it was incorrect and it said the answer was C :')
-5 – [-17 + (15 -6)] + (-15 - 8) – {-1 + (8 - 9) + (7 - 10)}
Answer:
-15
-5 – [-17 + (15 -6)] + (-15 - 8) – {-1 + (8 - 9) + (7 - 10)}
-5-(-17+9)+(-23)-(-1+(-1)+(-3))
-5-(-8)-23-(-1-1-3)
-5+8-23-(-5)
-5+8-23+5
=-15
Answer:
Step-by-step explanation:15 9 17 A = 7 0 8 8 10 9 i A-1 =