Answer:
x=3.6
Step-by-step explanation:
parentese first so add 34+20= 54
5x54=36
-54=-54
5x= -18
5x/5x -18/5x
x= 3.6
Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of
each congruence theorem to prove that
need to know.
The given information on the diagram of the projector and the image can
be used to prove the congruency of the triangles.
∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and
segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem
Reasons:
The figure of the projector that casts an image on the screen is attached.
The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]
From the drawing, we have;
∠ABD ≅ ∠CBD by equal number arc mark.
The two column proof is therefore, presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {BD}[/tex] is perpendicular bisector of [tex]{}[/tex][tex]\overline {AC}[/tex] Given
[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex] [tex]{}[/tex] Definition of bisected line [tex]\overline {AC}[/tex]
∠BDC = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠BDA = 90° [tex]{}[/tex] [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]
∠ABD ≅ ∠CBD [tex]{}[/tex] Given on the diagram
ΔABD ≅ ΔCBD [tex]{}[/tex] by Angle-Angle-Side AAS Congruency rule
The Angle-Angle-Side, AAS, Congruency postulate states that two
triangles are congruent where two adjacent angles and a non included side
on one triangle are congruent to the corresponding two adjacent angles
and a non included side on the other triangle.
Learn more here:
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Melissa can buy an 8 pound bag of dog food for $7.20. Which bag has an equivalent cost?
Which is the better deal? $39.55 for 7 pairs of jeans OR $22.48 for 4 pairs of jeans
Answer:
$22.48 for 4 pairs of jeans is a better deal.
Step-by-step explanation:
To find the price of one pair of jeans, you divide.
39.55 ÷ 7 = price of 1 pair of jeans
39.55 ÷ 7 = $5.65
22.48 ÷ 4 = price of 1 pair of jeans
22.48 ÷ 4 = $5.62
The price difference between the two prices is 3 cents. So, $22.48 for 4 pairs is a better deal that $39.55 for 7 pairs of jeans.
Hope this helps!
Tim buys a book for $50.38. If he paid 3% in sales tax, then what did the book cost
before tax?
Answer:
Total cost of the book = $51.89
Step-by-step explanation:
Total cost of the book = Cost of the book + (cost of the book × sale tax %)
Total cost of the book = $50.38 + ($50.38 × .03) 3% = .03 as a decimal
Total cost of the book =$50.38 + $1.5114)
Total cost of the book = $51.8914
Total cost of the book = $51.89
Please tell me what the Point Slope Slope Intercept Standard is for these graphs
Answer:
1st graph:
Slope-intercept is y = -7/2x + 3
Point Slope is y + 4 = -7/2(x - 2)
Standard is 7x + 2y = 6
2nd graph:
Slope-intercept is y = 1/2x - 4
Point Slope is y + 2 = 1/2(x - 4)
Standard is x - 2y = 8
3rd graph:
Slope-intercept is y = 3x - 3
Point Slope is y - 3 = 3(x - 2)
Standard is 3x - y = 3
4th graph:
Slope-intercept is y = -2/7x - 4
Point Slope is y + 2 = -2/7(x + 7)
Standard is 2x + 7y = - 28
Step-by-step explanation:
Point Slope formula⤵⤵⤵:
[tex]y - y _{1} = m(x - x _{1})[/tex]
Slope-intercept formula⤵⤵⤵:
[tex]y = mx + b[/tex]
Standard formula⤵⤵⤵:
[tex]Ax + By = C[/tex]
Sorry this took a while, I was doing other stuff for school. I also had to relearn point slope for this, so it took me some time to figure it out. Hope this helps though :)
A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation
f(t)=256e(0.0611t)
where t is in minutes. How long will it take the population to reach 5 times its initial value?
Answer: 26.34
Step-by-step explanation:
The bacteria will take 26.3409 minutes.
What is Exponential Equations?Exponents are used in exponential equations, as the name suggests. We are aware that a number's exponent (or base) tells us how many times the original number has been multiplied. But what occurs if a number's power is a variable? An exponential equation is one in which the power is a variable and a part of the equation.
Given f(t) = 256[tex]e^{0.0611t}[/tex]
initial condition when t = 0
f(0) = 256
to find the time when population reach 5 times its initial value
= 256 x 5 = 1280
f(t) = 1280,
to calculate t
1280 = 256[tex]e^{0.0611t}[/tex]
[tex]e^{0.0611t}[/tex] = 5
0.0611t = ln(5)
0.0611t = 1.60943
t = 1.60943/0.0611
t = 26.3409 minutes.
Hence Bacteria will take 26.3409 minutes to reach 5 times.
Learn more about Exponential Equations;
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What’s the answer to this plssss??
Answer:
2c²
Step-by-step explanation:
8c³d² / 4cd²
= 2 * c²
= 2c²
Is this relation a function? Justify your answer.
10
9
8
7
6
.
5
4
3
2
1 2
3
5 6 7
8 9 10
O A. Yes, because every x- and y-value is positive.
B. No, because two points with the same x-value have different y
values.
C. Yes, because the number of x-values is the same as the number of
y-values.
Answer:
C. Yes, because the number of x - values is the same as the number of y-values
Is this the right answer?
Answer:
yes great job!
Step-by-step explanation:
The sports stores price went up in 2013 a bat that cost $45 in 2012 now cost $55 what is the percent of change
Answer:
10/45 = 22.2% change in price
Step-by-step explanation:
new-old/old
help me with this guys
Let y = cos⁻¹(x), so that cos(y) = x.
For some angle y between 0 and π, cos(y) takes on some value between -1 and 1.
For the y in this range, we have cos(y) = -1/2 exactly when y = 2π/3.
Then
tan(cos⁻¹(-1/2)) = tan(2π/3) = sin(2π/3)/cos(2π/3) = (√3/2)/(-1/2) = -√3
What multiplication tables should every student memorize.
Answer:
1-15
Step-by-step explanation:
You should at least teach students 1-15 or 1-20
What is the midpoint of the segment shown below?
10
O A. (6.3)
(2,3)
(10,3)
B. (6,3)
- 10
10
C. (5,3)
-10
D. (533)
SUE
Answer:
b. (6,3)
Step-by-step explanation:
10+2=12
12/2=6
The line is always on 3, so that will be the y coordinate!
The midpoint of the line segment are (6, 3). Therefore, option B is the correct answer.
What is the midpoint of a line segment?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.
The formula to find the midpoint of line segment is (x, y) = [(x₁+x₂)/2, (y₁+y₂)/2]
From the graph, the coordinate points of ends of line segment are (2, 3) and (10,3).
Here, midpoint = [(2+10)/2, (3+3)/2]
= (6, 3)
Therefore, option B is the correct answer.
To learn more about the formula of midpoint visit:
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A bicycle store costs $1500 per month to operate. The store pays an average of $35 per bike. The average selling price of each bicycle is $85. How many bicycles must the store sell each month to break even?
Answer:
30 bikes
Step-by-step explanation:
the profit from each bike is 50 so then you divide 1500 by 50 and you get 30
Suppose a binomial trial has a probability of success of 0.7, and 75 trials are performed. What is the standard deviation of the possible outcomes. Round your answer to two decimal places
Answer: 8.22
Step-by-step explanation:
whats is 89 x 98789 =
please help me asap please
Answer:
8792221
Step-by-step explanation:
89 x 98789 = 8792221
8792221 is correct answer
(Hope this helps can I pls have brainlist (crown)☺️)
can someone please assist me in these equations!?!?! pls
Answer:
1. -9 because -9x6= -54, -10 because 5 x -10= -50, and x=1 because -2 x 1= -2
Step-by-step explanation:
Answer:
1. = −9
2. = −10
3. = 1
Step-by-step explanation:
A circle has a diameter of 62 meters. What is the circumference of the circle
Answer:
the circumstance is 194.78
A restaurant bill is $25.80. How
much is a 20% tip for this bill (NOT
the total)?
Answer:
25 pesos 80 pw
pesos I'm not sure
Step-by-step explanation:
25. 80
For an art project you are using a piece of cloth out in the shape of an right triangle What’s the area of the cloth?
Answer:
18
Step-by-step explanation:
6*6/2 = 18
What is the m 2x-3=5x-12
Answer:
15 is the answer
Step-by-step explanation:
If it was designed as an alternate angle, then it would 63 degrees
A student subtracted 9 from a number and then divided the result by 3. Her answer was 43.
What was the original number?
Answer:
138
Step-by-step explanation:
GEOMETRY Find the the area of the polygon with the given vertices.
C(1,1) D(1,4)E(4,4)F(4,1)
pls give answer
worth 100
Pls help i will give brainliest!
if an angle is bisected to form two new 39° angles, what was the measure or the original angle
Answer:
78°
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
78°
Step-by-step explanation:
39 × 2 = 78
--
Bisected - Divided into two parts.
i) Factorise x^2 - x - 20
[tex](x + 4)(x - 5)[/tex]
hope it helps#carryonlearning
see the attachment for the explanation
how do you solve something like this?
Answer:
-24
Step-by-step explanation:
First, use the equation find the value of x. Then, substitutes the value of x into 9x+12.
Write the equation of the line that passes through the points (9, 3) and (-7, -7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
a
line.
Answer:
y-3=5/8(x-9)
Step-by-step explanation:
First, we can find the slope using the slope formula : -7-3/-7-9 = -10/-16 = 5/8
Now we can just plug in a point into point slope form
y-3=5/8(x-9)
help only answer if you know!!!!
Subtract.
18 7/12−9 4/12
8
8 1/3
9
9 1/4
Answer:
9 1/4
Step-by-step explanation:
I hope this helps! it should be correct
56 - 8 (1/4+2 / 1-3/5)
Simplify the complex fraction in the given expression.
Simplify the complete expression.
[tex]56-8(\frac{\frac{1}{4}+2 }{1-\frac{3}{5} })= 56-8(\frac{2,25}{0,4 })= 56-8.(5,625)=56-45= 11[/tex]
ok done. Thank to me :>
Jayla made 36 sugar cookies for the class party. Before you got to class the teachers ate 9 cookies, and then your classmates ate 1/3 of the remaining cookies. How many cookies are left for you to eat?
Answer:
9 cookies are left
Step-by-step explanation:
36 - 9 = 27
27 · 1/3 = 9