In the figure below, triangle QRS is isosceles, with QR SR.
If mSPQ = 36° and mQRS = 32°, what is mPQR?
A.
118°
B.
138°
C.
133°
D.
128°
Answers
Now divided 148/2 to get 74°.
In triangle SPQ, there is one right angle 90°, and mSPQ 36°
Add 90+36=126 and subtract that from 180 again
180-126=54°
Add 74° and 54° = 128°
The answer is D
Answer:
D
Step-by-step explanation:
since Δ QRS is isosceles then the base angles are congruent , that is
∠ RQS = ∠ RSQ = (180 - ∠ QRS ) ÷ 2 = (180 - 32)° ÷ 2 = 148° ÷ 2 = 74°
the sum of the 3 angles in Δ SPQ = 180° , then
∠ PQS = 180° - ∠ SPQ - ∠ PSQ = 180° - 36° - 90° = 54°
Then
∠ PQR = ∠ RQS + ∠ PQS = 74° + 54° = 128°
Related Questions
Solve the equation on the
interval [0, 2pi).
3 sin x = sin x + 1
Answers
Answer:
π/6 , 7π/6
Step-by-step explanation:
3sinx = sinx + 1 ⇒ 2sinx = 1 ⇒ sinx = 1/2
At which value(s) of x does sinx equal 1/2?
x = arcsin(1/2) at π/6 and 5π/6
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Answers
Step-by-step explanation:
2*a*b + 2*a*c + 2*b*c = 2*8*2 +2*8*7 + 2*2*7 = 32 + 112 + 28 = 172 ft²
Answer:
172 ft2
Step-by-step explanation:
bxhxw= surface area
8x2x7=172
unit--> ft2
PLEASE HELP!!!
Kenneth brings a partially-filled beaker of red liquid into is his laboratory and uses an apparatus to add drops of blue liquid to the
beaker at a constant rate. The equation y = 5x + 15 describes the relationship between the number of minutes (x) since Kenneth
began adding drops of blue liquid to the beaker and the total amount of liquid in the beaker (y), in milliiters. Which statement
correctly describes a solution of the equation?
A. The total amount of liquid in the beaker after 1 minute is 5 milliliters,
O B.
The total amount of liquid in the beaker after 2 minutes is 25 milliliters.
O C. The total amount of liquid in the beaker after 5 minutes IS 15 milliliters.
O D. The total amount of liquid in the beaker after of 35 minutes is 4 milliliters.
Reset
Next Question
Answers
Answer: Is in the screenshot
Sue is selling chocolate chip cookies for
$0.75 each. The more cookies she sells,
the more money she will receive.
Identify the independent variable.
A
Amount of money Sue receives
Number of cookies Sue sells
B
Answers
Answer:
B
Step-by-step explanation:
not really sure so yeah B
Mr Wong cuts a coil of wire into two pieces in the ratio 5 : 1 the length of the coil wire is 180. How long is the shorter piece of wire?
Answers
Answer:
30
Step-by-step explanation:
total length = 180 = (5 + 1) sections
shorter wire = 1 section = 30
Help please V/5 = 3/7 v=
Answers
Answer:
v = 15/7, or 2.14
Step-by-step explanation:
Find a common denominator, or multiply both denominators by each other, and well as the numerator.
v/5 = 3/7 can be written as 7v/35 = 15/35
multiplying both sides with 35, we are left with 7v = 15
v = 15/7, or 2.14
Besides the actual mortgage payment, which also factors into the monthly payment on a home?
Please label your answer with the corresponding letter or you won't get brainliest. I like many others, hate having to sit through ads
A. repair costs
B. renters' insurance
C. property taxes
D. down payment
Answers
Answer:
C
Step-by-step explanation: Property taxes
Which expression is equivalent to 6e+3(e-1)?
3e-2
3e-6
9e-1
9e-3
Answers
[tex]6e+3(e-1)\\\\=6e+3e-3\\\\=9e-3[/tex]
How do you find the radian of any given degree.
Answers
To convert any given angle from the measure of degrees to radians, the value has to be multiplied by π/180.
hope it helps...!!!
Answer:
there are 2pi radians in a circle
there are also 360 radians in a circle
let r = radians and d = degrees
2*pi*r=360*d
2pi/360*radians = degrees
(pi/180)*radians = degrees
If a towns population currently at 50,000 experiences 5% growth every 10 years, what will its population be in 25 years
Answers
Answer:
56503
Step-by-step explanation:
this grows exponentialy so at the start it would be 50,000 growing by 5% every ten years. but since there is only 2 ten years in 25 years we must cut the percent in half making 2.5%
Step 1
(50,000×5%)+50,000= 52500
Step 2
(52500×5%)+52500= 55125
step 3
(55125×2.5%) +55125= 56503
What is the total surface area for the figure shown below?
11
8
17
14
10
Answers
What is value of 5 in 2 500.7 please will like it to see how is solved without explaining,am really confused
Answers
Answer:
If there is no space between 2 and 5 then 5 is in the hundredths place
Step-by-step explanation:
What is the true solution to the logarithmic equation below?
log₂ (6x)-log₂ (√x)=2
Answers
answer: x = [tex]\\ \frac{4}{9\\}[/tex]
[tex]log_{2}[/tex] (6x) - [tex]log_{2}[/tex] ([tex]\sqrt{x}[/tex]) = 2
expand the expression:
[tex]log_{2}[/tex](6x) = [tex]log_{2}[/tex] (6) + [tex]log_{2}[/tex] (x)[tex]log_{2}[/tex] ([tex]\sqrt{x}[/tex]) = [tex]log_{2}[/tex] ([tex]x^{\frac{1}{2} }[/tex])transform the expression:
[tex]log_{2}[/tex] ([tex]x^{\frac{1}{2} }[/tex]) = [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x)calculate the difference:
[tex]log_{2}[/tex] (x) - [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x) = [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x)multiply both sides by 2:
[tex]log_{2}[/tex] (6) + [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x) = 2 is now 2 [tex]log_{2}[/tex] (6) + [tex]log_{2}[/tex] (x) = 4transform the expression:
2 [tex]log_{2}[/tex] (6) = [tex]log_{2}[/tex] ([tex]6^{2}[/tex])simplify the expression:
[tex]log_{2}[/tex] ([tex]6^{2}[/tex]) + [tex]log_{2}[/tex] (x) = [tex]log_{2}[/tex] ([tex]6^{2} x[/tex])evaluate the power:
[tex]log_{2}[/tex] ([tex]6^{2} x[/tex]) = [tex]log_{2} (36x)[/tex]convert the logarithm into exponential form:
[tex]log_{2}(36x) = 4[/tex] is now [tex]36x = 2^{4}[/tex]evaluate the power:
[tex]2^{4} = 16[/tex]divide both sides by 36:
[tex]\frac{36}{36}[/tex] x = [tex]\frac{16}{36}[/tex] which is x = [tex]\frac{4}{9}[/tex]Look at the given triangles.
A. Write an expression in the simplest form for the perimeter of each triangle.
B. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.
C. Find the perimeter of each triangle when x=3
Answers
Blue: P=4x +2+7x +7+5x-4 --> 16x +9-4=16x +5
Red: P=x+3+2x - 5 + x + 7 --> 4x + 10 - 5 = 4x + 5
Difference between the perimeter:
(16x + 5) - (4x + 5) = 16x + 5 - 4x - 5 = 12x
Perimeter when x = 3
Blue : 16x + 5 ⇒ 16(3) + 5 = 48 + 5 = 53
Red: 4x + 5 ⇒ 4(3) + 5 = 12 + 5 = 17
The answers are explained in the solution.
What is perimeter?The perimeter of an object is given by adding the side lengths of the object.
Given are two triangles, we need to find their perimeters and then the difference and the value of the perimeter when x = 3,
Blue:
P = 4x +2 +7x + 7+5x-4
= 16x +9-4 = 16x +5
Red:
P = x+3+2x - 5 + x + 7
= 4x + 10 - 5 = 4x + 5
Now,
The difference between the perimeter:
(16x + 5) - (4x + 5)
= 16x + 5 - 4x - 5
= 12x
The perimeter when x = 3
Blue: 16x + 5 ⇒ 16(3) + 5 = 48 + 5 = 53
Red: 4x + 5 ⇒ 4(3) + 5 = 12 + 5 = 17
Hence, the perimeters of the given triangle are 53 and 17 respectively.
Learn more about perimeter click;
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what is 3/5 - 3/10 = in simplest form
Answers
Answer:
3/10
Step-by-step explanation:
3/5 - 3/10 = 5×2 = 10 so 10 is the denominator
6/10 -3/10 = rewrite with a denominator of 10
(6-3)/10 = subtract numerators
3/10 already in simplest form
Answer:
3/5
Step-by-step explanation:
You don’t need a common denominator when subtracting
Tristan's pen is 2/3 foot long. His pencil is 5/12 foot long. In feet , what is the conbined length of the pen and pencil
Answers
Answer:
13/12 or 1 1/12
Step-by-step explanation:
First you change 2/3 to 8/12 by multiply both the numerator and denominator by 4. Then, you add the numerators but DO NOT change the denominators. Therefore, your answer is 13/12 which = 1 1/12.
Which of the following is true of the composition F(G(H(X)))?
A. The function G(F(H(x))) depends on G(H(x)).
B. The function F(G(H(x))) depends on H(G(x)).
C. The function H(G(F(x))) depends on G(F(x)).
D. The function F(G(H(x))) depends on G(H(x)).
SUBMIT
Answers
Answer:
D. F(G(H(x))) depends on G(H(x))
Step-by-step explanation:
A function depends on its argument (the stuff in parentheses after the function name). The argument of function F in F(G(H(x))) is G(H(x)).
F(G(H(x))) depends on G(H(x))
__
Answer choices A and C do not make any statement about the given composition. Answer choice B shows a composition (H(G(x))) that has no relation to the argument of function F.
Answer: D. F(G(H(x))) depends on G(H(x))
Step-by-step explanation:
Can someone help me I’ve been stuck on this.
Leila will run less than 25 miles this week. So far, she has run 13 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run.
Write your answer as aninequality solved for t.
Answers
Leila will run less than 25 miles this week. This means the inequality symbol will be this: "<". Since she has already ran 13 miles, we need to plug-in a variable for the additional miles she must run. The inequality should be like this when plugged-in: 25 < 13 + t.
The final answer to your question is 25 < 13 + t.
how to solve Need Answer asap
Answers
Answer:
50.97m^2
Step-by-step explanation:
Rectangle=32.66 m^2
Triangle=28.13 m^2
Here is a right angled triangle work out the value of x using trigonometry
Answers
[tex]~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x = 8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}[/tex]
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
m A equal 14 the second one is 11
Step-by-step explanation:
Four hundred million in standard form
Answers
Answer:
Standard form of 400000000 (four hundred million) is 4 x [tex]10^{8}[/tex]
Step-by-step explanation:
Because there are 8 0s, and its 400 million
Hope this helps!
For the quadratic function f(x) = x2 + 6x +11:
a. Use the idea of completing the square to write it in graphing form.
Answers
Step-by-step explanation:
Make f(x) = 0
[tex] {x}^{2} + 6x + 11 = 0[/tex]
First, we move the constant term to the right hand side of the equality sign.[tex] {x}^{2} + 6x = - 11[/tex]
Then, we half the coefficient of x and square our result.[tex]( \frac{6}{2} ) ^{2} = 3 ^{2} = 9[/tex]
Now, we add the result to the both sides of the equation.[tex] {x}^{2} + 6x + 9 = - 11 + 9[/tex]
We can see that x²+6x+9 = (x+3)² {Try factorizing}Therefore,(x+3)²= -2
(x+3)²+2= 0
f(x)= (x+3)²+2
Which is the f(x) in graphing form.
Katie's earnings, E , for a week are given by the equation E = 18h, where H is the number of hours that Katie works during the week. If Katie works 40 hours per week for 4 weeks, how much money will she earn during the 4-week period?
Answers
Answer:
$2,880
Step-by-step explanation:
18 x 40 = 720 earned per week
720 x 4 (weeks) = 2880 earned in 4 weeks
The Happy Widget Company has a fixed cost of $1,378 each day to run their factory and a variable cost of $1.83 for each widget they produce.
Create a linear model for their daily cost.
How much does it cost them to produce 267 widgets?
Answers
The linear model for the daily cost is C(x) = $1378 + $1.83(x).
The cost of producing 267 widgets is $1,866.61
What is the cost of producing 267 widgets?
Fixed cost is the cost the remains constant with the number of widgets produced. Variable cost increases with the number of widgets produced. Daily cost is the sum of fixed cost and variable cost.
Fixed cost = fixed cost + (variable cost x number of widgets)
C(x) = $1378 + $1.83(x).
C(x) = $1378 + $1.83(267) = $1,866.61
To learn more about fixed cost, please check: https://brainly.com/question/25879561
The first image for the question and the other image for the example please I want the correct answer.
Answers
A(shaded) =47cm^2
Step-by-step explanation:
To find the area of the shaded part we write:
A(shaded) = A(triangle)-A(rectangle)
Let's find A(rectangle):
The formula of the area of a rectangle is given by:
A(rectangle)=L*W
Where L is the length of the rectangle and W is the width of the rectangle.
Given in the figure:
L=4cm
W=2cm
We get:
A(rectangle) = 4*2 = 8cm^2
Now, let's find A(triangle):
The formula of the area of a triangle is given by:
A(triangle) = (b*h) /2
Where b is the base of the triangle and h is the height of the triangle
Given in the figure:
b= 11cm
h= 3+4+3 = 10cm
We get:
A(triangle) = (11*10)/2 = 55cm^2
Now that we found the areas of both, the rectangle and the triangle, we can go back to the following formula to find the area of the shaded part:
A(shaded) = A(triangle)-A(rectangle)
A(shaded)= 55 - 8= 47cm^2
Area of triangle = 1/2 x 11 x (3+4+3) = 55 cm²
Area of rectangle = 4 x 2 = 8 cm²
Area of shaded region = 55 - 8 = 47 cm²
A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend who is located at point B.
A coordinate plane with a circle drawn. The center of the circle is the origin, (0, 0). The circle has a diameter of 16 units. There is a line segment drawn from Point A at (8, 0), passing through (0, 4) to Point B at (negative 4, 6).
Which equation represents Grant’s path?
Answers
Which statement best describes the graph of f(x+5)
A. The graph of f(c) is shifted up 5 units.
B. The graph of f(x) is shifted left 5 units.
C. The graph to f(x) is shifted right 5 units.
D. The graph of f(x) is shifted down 5 units.
Answers
Answer: B
Step-by-step explanation:
Which choice is equivalent to the expression below?
(-8)-5
5
O A.
100
ОВ.
(H
O c. 40
O D. 85
Answers
Answer:
D?
sorry if i am incorrect.
what percentage of 60 is 30
Answers
Step-by-step explanation:
[tex] \longmapsto\: \purple{hello \: mate }[/tex]
50 % of 60 is 30i,e
60×50/100
= 60 x 1/2
=30
Answer:
50%
Step-by-step explanation:
[tex]30\div 60\times 100[/tex]
[tex]\cfrac{1}{2}\times \:100[/tex]
[tex]\cfrac{1}{2}\times \cfrac{100}{1}[/tex]
[tex]\cfrac{1\times \:100}{2\times \:1}[/tex]
[tex]\cfrac{100}{2}[/tex]
[tex]50[/tex]