find the lengths of the lettered angles and sides. No approximation for square root is allowed
Answers
Answer:
x = 30°, y = 45°w = 14√2, v = 7√2Step-by-step explanation:
ΔABC
BC/AB = sin x12/24 = sin x1/2 = sin xx = 30°ΔDBC
DC = BC - given∠C = 90° - given ΔDBC is isosceles right triangle∠BDC ≅ ∠DBC ⇒ y = 45°
-------------------------------------------
ΔMPN is right isosceles triangle ⇒ MN = PN√2 = 14√2
w = 14√2ΔMKP is right isosceles triangle ⇒ MK = KP
v = 1/2MN = 1/2(14√2) = 7√2Related Questions
find the diamtere of a circle if its radius is 96.5cm
Answers
[tex] \huge \blue{\tt{Answer:}} [/tex]
[tex] \sf {diameter = 2\times {radius}} = \sf{2\times{96.5}} = \sf{193~cm} [/tex]
John is a computer salesman. He makes 8% commission on all sales. If John’s sales for the week are $24,300, how much did he earn in commission?
Answers
He made $1 944 in commission
Pls Pls Pls Pls PLs PLS helpppp
I'm giving 45 points if you help
Answers
how do you simplify 4 ^2 × 4^5
Answers
Answer:
4^7
Step-by-step explanation:
4^2 + 4^5
=> 4^ 2+5
=> 4^7
Answer:
Step-by-step explanation:
This is midpoints geometry I need help soon.
Answers
Answer:
x=4.5
Step-by-step explanation:
PR=28
PQ= 2x+5
Require
Find X
what is this ???????/ 9.1 ∙ 102
Answers
Step-by-step explanation: 9.1 x 102 = 928.2.
A math student has a plan to solve the following system by the elimination method. To eliminate the x-terms, he wants to multiply the top equation by 7. What
should he multiply the second equation by so that when he adds the equations, the x-terms are eliminated?
-3x-7--56
-7x+10y - 1
Answers
Answer:
-3
Step-by-step explanation:
7(-3x-7y-56)
-21x-49y-392
-3(-7x+10y-1)
21x-30y+3
because the eq. multiplied by 7 is negative, the second eq mus be positive in order to eliminate the x variable. this is why we multiply by a (-). by multiplying the second eq by 3, both eq. will result in a coefficient of 21. one positive one negative allowing the x variable to be eliminated from the problem.
In trapezoid MNPQ shown below, MN || QP, m&M = 108°, m&P = 4x - 5, and
mxQ = 3x + 21. What is the number of degrees in m«N.
Answers
Answer:
Answer:
The answer is below
Step-by-step explanation:
A trapezoid is a quadrilateral (has four sides and four angles) with a pair of opposite parallel sides. The pair of opposite parallel side is known as the base. Also, the angles on the same leg of a trapezoid (adjacent angles) are supplementary (add up to 180°).
In trapezoid MNPQ:
∠M + ∠Q = 180° (angles on the same leg are supplementary)
108 + (3x + 21) = 180
3x + 129 = 180
3x = 51
x = 17
Also:
∠N + ∠P = 180° (angles on the same leg are supplementary)
∠N + (4x - 15) = 180
∠N = 180 - (4x - 15)
∠N = 180 - 4x + 15
∠N = 195 - 4x
substitute x = 17°:
∠N = 195 - 4(17)
∠N = 127°
A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charges $ 2.95
per gallon. Assuming a linear model
(a) How many gallons would be sold per hour of the price is $ 2.90 per gallon?
Answer:
(b) What must the gasoline price be in order to sell 1300 gallons per hour?
Answer:
Answers
Answer:
Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).
Slope m=%281600-800%29%2F%280.15-0.55%29
m=800%2F0.40
m=2000
Using point-slope form for a line, and the lower-y point,
y-800=2000%28x-2.55%29
highlight%28y=2000%28x-2.55%29%2B800%29
Please help and quick
Answers
4 and 2 because she is the acrooss line
Joaquin can read one comic book in 15 minutes. Write and solve an equation to determine how many comic books he can read in 75 minutes.
Answers
1) Kayla is using mental math to find the given sum. Which equivalent
expression could she use?
A)
85 + 20
B) 90 - 13
C)
100 + 13
D) 105 - 2
Answers
A side of the triangle below has been extended to form an exterior angle of 128° . Find the value of x.
Answers
Answer:
Step-by-step explanation:
The sum of adjacent angles traversed by a line must equal 180 degrees.
128+x=180
x=52
Answer:
x=52 degrees
Step-by-step explanation:
x=180-128=52 degrees because x is supplementary to 128 degrees.
Find the total cost, to the nearest cent, for a meal at a restaurant that cost $19.74 with
an additional sales tax of 7.5%
Answers
Multiply 19.74 times 0.075 (7.5% converted to a decimal) to get 1.48 (the amount of tax) and add that to the cost of the meal (19.74)
Find the value of y
95
15
19
85
Answers
Answer:
im only doing this bc im forced to
Answer:
19
Step-by-step explanation:
180-85 = 5y
5y = 95
y = 19
Maya took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $1.90 plus $4.50 per mile. The total fare was $24.40, not including the tip.
Write and solve an equation which can be used to determine m, the number of miles
in the taxi ride.
Answers
Which expressions are equivalent to 4/5×15: 5x3, 4x 5/15, 4x3, 3x 15/5, 4x 15/5.
Answers
Answer:
these are the equivalwnt expressions 4/5×15=4×5/15; 5×3=3×15/5
The expression equivalent to 4/5 × 15 is 4×3
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here the expression 4/5×15 thus simplifying it we get
4/5×15= 4×3
= 12
Hence, The expression equivalent to 4/5 × 15 is 4×3
Learn more about the BODMAS rule here:
https://brainly.com/question/29795897
#SPJ2
HELP PLEASEEEEEEEEEEE!!!
Answers
Answer:
The graph under the "U" graph
Step-by-step explanation:
In 2010, 8476 earthquakes
ocurred in the united states
of these 91.4% were minor
tremors with magnitude of
3.9 or less on the Richter
scale. How many minor earth
quakes occurred in the United
States in 2010? Round to
the nearest whole number
Answers
Answer:
7747
Step-by-step explanation:
8476 × 91.4%
=7747
∴ 7747 minor earthquakes occured in 2010
Answer:
Step-by-step explanation:first I don't know
Second I don't know
And finally I don't know
Solve the equation -10(d+1)=-14 I ready, please help ASAP!!
Answers
Answer:
d = 0.4
Step-by-step explanation:
-10 (d + 1) = - 14
=> -10d - 10 = -14
=> -10d = -14 + 10
=> -10d = -4
=> 10d = 4
=> d = 4 / 10
=> d = 0.4
Hope it helps :)
Please mark my answer as the brainliest
Please help fast I’ll give u a lot of points
Please say the right answer
Answers
Answer:
Plant A is increasing 2cm each day.
Plant B is increasing 6cm each day
Plant B is increasing 4cm more than Plant A each day.
Describe the sequence of transformations that shows a quadrilateral of rstu is similar to quadrilateral VXYZ
Answers
Answer: What does the figure look like exactly?
Step-by-step explanation:
Which statement is true? Select all that apply?
A) 2/7 x 3/8 < 3/8 because 2/7 < 1
B) 2/7 x 3/8 > 3/8 because 2/7 > 1
C) 2/7 x 3/8 > 2/7 because 3/8 > 1
D) 2/7 x 3/8 < 2/7 because 3/8 < 1
Answers
X^3+9X^2–25X–33=0
Find The root of X??
Answers
Answer:
x=-11, -1, and 3
Step-by-step explanation:
x^3+9x^2-25x-33=0
There are formulas to solve cubics, but that probably is not the way you are expected to go. Here is a trial and error approach that works in this case.
Assume that the cubic can be factored and that the roots are r1, r2, and r3. Then the factored form is
(x-r1)(x-r2)(x-r3)=0
This shows that the constant must equal the product of the roots.
(r1)(r2)(r3)=-33
One possibility is that the roots are integers. In this case, a factor of 33 might work. Prime factorization of 33 gives 3 and 11. Try 3. Then (x-3) is a factor.
Divide the cubic by (x-3). It works. the result is
x^2+12x+11
This has factors of (x+11) and (x+1). Therefore, the roots are 3, -1, and -11
1/10 of the counters in a bag are blue. 1/2 of the counters are red. 2/5 of the counters are yellow. Which of the ratios below shows the ratio of blue to red to yellow?
Answers
Answer:
well 1/10 are blue, 5/10 are red, and 4/10 are yellow.
1/10 blue
5/10 red
4/10 yellow
I don't really know how to answer this question but I hope me converting the ratios helps :)
Step-by-step explanation:
1/2 red
2/5 yellow
First, make it so that each if their whole (denominator, or the right side) is equal.
We already know that 2 and 5 are common factors of 10, so we get them to the number 10 by equal multiplication.
1/10 - blue
1/2(5) = 5/10 - red
2/5(2) = 4/10 - yellow
Now just take their numbers in order.
Answer: 1:5:4
4 units 2 units 7 units 3 units what's the area
Answers
Answer:
15 units
Step-by-step explanation:
split the figure into two figures
one with 4x3 and the other with 1x3
then find the area for each and add the areas to get total area
4x3=12
1x3=3
12+3=15
hope this helps have a blessed day :)
Answer:
The answer has to be 168
Step-by-step explanation:
To find the Area you need to multiply all the lengths of each side together.
So 3x4x2x7=168
HOPE THIS HELPS!!!
PLEASE MARK BRAILIEST!!!
the distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter reprecents 20 kilometers. what is the actual distance between these two cities in kilometers?
Answers
Answer:
70 kilometers
Step-by-step explanation:
Set up a proportion where x is the actual distance
[tex]\frac{1}{20}[/tex] = [tex]\frac{3.5}{x}[/tex]
Cross multiply:
x = (20)(3.5)
x = 70
So, the actual distance is 70 km
What will be the area of this parallelogram?
Include the appropriate unit in your answer.
Answers
Answer:
13.75 square feet
Step-by-step explanation:
all you have to do to find the area of a parallelogram is base * height
= 2.5 * 5.5
= 13.75 square feet
Answer:
13.75 ft^2
Step-by-step explanation:
I) Substitute equation to find the area
a = hb (area = height x base)
a = 2.5(5.5)
II) Solve:
a = 2.5(5.5)
a = 13.75
The area is 13.75 ft^2.
what the reciprocal of 7/9 the reciprocal of 9
Answers
Answer:
tge reciprocal of 7/9 is 9/7 while the reciprocal of 9 is 1/9
In order to find the reciprocal of a number, we should just flop it over.
If we have a fraction, and we're asked to find its reciprocal, we should just flop it over.
Please consult the formula for more details:-
[tex]\sf{The~reciprocal~of~a~is~\frac{1}{a}} \\The~reciprocal~of~\frac{a}{b} ~is~\frac{b}{a} }}[/tex]
According to the formula,
[tex]\sf{The~reciprocal~of~\frac{7}{9} ~is~\frac{9}{7} }\\The~reciprocal~of~9~is~\frac{1}{9} }}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Help ASAP I’ll give 51 points and anything I need it now pls
7th grade math
Answers
3x-x+2=4 is the answer <3