Answer:
A = 73.33
B = 53.33
C = 53.33
Step-by-step explanation:
Since they are in a triangle, the sum of the three angles = 180
A + B + C = 180 ••••••(i)
Since B and C are congruent, it means that they are equal;
hence B = C ••••••(ii)
We can rewrite equation i as;
A + B + B = 180
A + 2B = 180 ••••••(iii)
Lastly;
B = A -20 •••••(iv)
Substitute iv into iii
A + 2(A -20) = 180
A + 2A -40 = 180
3A = 180 + 40
3A = 220
A = 220/3 = 73.33
But B = C = A -20 = 73.33 -20 = 53.33
1. Un edificio proyecta una sombra que mide 8 m de largo (Fig. 1.32). Se sabe que
la línea que va desde la punta de la sombra proyectada hasta el sol forma un án-
gulo de 30º con respecto del piso; y si a 1.5 m de distancia de donde termina la
sombra del edificio se alza una vara vertical (apoyada en el piso) de 50 cm de alto
cuyo extremo superior coincida con la línea mencionada:
¿Cuál es la altura del edificio?
Answer:
El edificio tiene aproximadamente 2,67 metros de altura
Step-by-step explanation:
La información proporcionada son;
La longitud de la sombra proyectada por el edificio = 8 m
El ángulo formado por la línea que va desde la punta de la sombra al Sol = 30 °
La ubicación del poste vertical desde la punta de la sombra = 1,5 m
La altura del poste vertical = 50 cm = 0,5 m
Por tanto, tenemos por triángulos semejantes formados por la punta de la sombra, la altura del poste vertical y la altura, h, del edificio la siguiente relación;
Bronceado (30 °) = h / 8 = 0,5 / 1,5
h = 8 × 0.5 / 1.5 = 8/3 m = ≈ 2.67 metros
La altura del edificio es de aproximadamente 2,67 metros.
3/4 + (-2/3) + 1/4
Help please
Answer:
1/3
Step-by-step explanation:
[tex]\frac{3}{4} + \frac{-2}{3} +\frac{1}{4}\\ = \frac{9-8+3}{12}\\= \frac{4}{12}\\=\frac{1}{3}[/tex]
8xy(x^3y)
i need help pls.
Answer:
8x^4y^2
Step-by-step explanation:
Solve from question 1 to 10 ( I NEED THIS ASAP! TY )
Answers:
1. 65 + x = 90
x =25
2. 51 + x = 180
x =129
3. 107 + x = 180
x = 73
y = 107
z = 73
4. angle + 13 = 180 (supplementary means 180)
angle = 167
5. angle + 38 = 180 (supplementary means 90)
angle = 52
6. (5x + 9) + (3x +11) = 180
8x + 20 = 180
8x = 160
x = 20
angle 1 = 109 angle 2 = 71
7. 17x + 1 = 20x - 14
1 = 3x - 14
15 = 3x
5 = x
angle 1 = 86 angle 2 = 86
8. (3x + 3) + (10x - 4) = 90
13x -1 = 90
13x = 91
x = 7
angle 1 = 24 angle 2 = 66
9. p = 2q - 3; q + p = 180
p = 2(180 - p) - 3
p = 360 - 2p - 3
3p = 357
p = 119
______________
q + (119) = 90
q = 61
10. b = 3c + 2; b + c = 90
b = 3(90 - b) + 2
b = 270 - 3b + 2
4b = 272
p = 68
______________
c + (68) = 90
q = 22
On her way to her grandmother's house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?
Answer:
15
Step-by-step explanation:
Answer:15
Step-by-step explanation:
gcmf and factored form of ײ + 2×
Answer:
The greatest common factor (GCF) is x
x(x+2)
Step-by-step explanation:
How to know or understand easly variable which number will be in place alphabet for example, in the equation 2x + 3 = 11
Answer:
Step-by-step explanation:
a variable can have any value depending upon the equation
for example,
in 2x + 3 = 11
2x = 11 - 3
2x = 8
x = 8 / 2
x = 4
Hope this helps
plz mark as brainliest!!!!!!!
Step-by-step explanation:
Hey there!
Variables have the unknown value.
If you want to find or know value from the equation easily, you have to simply solve the equation.
For your example;
2x+3=11
Now, solve it to get value of variable 'x'.
2x = 11-3
2x = 8
[tex]x = \frac{8}{2} [/tex]
Therefore the value of variable 'x' is 4.
Hope it helps...
A bag contains 5 blue marbles, 10 purple marbles, 6 red marbles, and 9 yellow marbles. What is the probability you will pull a blue marble
Answer:
5/27
Step-by-step explanation:
add all of them together except or the blue them do the blue over the others and that the answer
HELP PLEASE!!!! Three sides of a triangle are three consecutive positive integers such that the product of the first two is 22 less than 11 times the third. What is the length of the smallest side?
Answer:
3x-x+2=4
Step-by-step explanation:
need an answer asap!!!!
a = 12, b = 5, and c = 4.
3c + bc - 2a
Answer:
8
Step-by-step explanation:
3(4)+(5)(4)-2(12)
then solve
12+20-24=8
Answer of the given expression 3c + bc -2a is equals to 8.
What are variables?" Variables is that quantity which gets vary or change as per the situation assigned to it."
According to the question,
Given,
a = 12 , b = 5 , and c=4
Substitute the values of the given variable in the equation we get,
3c +bc - 2a
=3(4) + (5)(4) -2(12)
= 12 +20 -24
=32-24
=8
Hence, value of 3c + bc -2a is equals to 8
Learn more about variable here
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Can someone help me, please and thank you? I'll give BRAINLEST!!! Please have explained how to get the answer!!! *due tonight* I"L DO ANYTHING AND I MEAN ANYTHING
Answer:
the only thing you have to do is look at the answer and look at the numer with the letter. like on number one the n is o
Step-by-step explanation:
Find EF given e(-7,-2) and f (11,3)
Answer: 18.68
Step-by-step explanation:
Suppose that S and T are on points on the number line.
If ST=20 and S lies at 3, where could T be located?
Answer: T= 6.66
Step-by-step explanation:
ST = 20 and S=3
(3)T = 20
T= 20 \ 3
T= 6.66
Slope is ____
A.the change in x, over the change in y
B.the change in y, over the change in x
Four times the sum of three and a number is the same as six times the same number. What equation would you write to find the number ?
Answer:
4*(3+x) = 6x
Step-by-step explanation:
Let x be the unknown number
4*(3+x) = 6x
A basketball p in space weights 9 × 10–9 meter in diameter. How is this number expressed in standard form?
Answer:
i hope im right
0.000000009
Step-by-step explanation:
Sasha received a bonus check for $2,500. She is going to deposit the money into her bank account that receives 5.5% compounded annually. What is Sasha's account balance after five years?
Answer:
The amount Collin receives $3267.40 after 5 years .
Option C is correct.
Step-by-step explanation:
Formula
Where P is the principle , r is the rate of interest in the decimal form and t is the time .
As given
Colin received a bonus check for 2,500.
Collin is going to deposit the money into his bank account that receives 5.5% compounded annually for 5 years .
P = $2500
5.5% is written in the decimal form
Step-by-step explanation:
Answer:
$3,187.50
Step-by-step explanation:
2500 * 5.5%= 137.50
137.50 x 5 (años) = 687.50
2500 + 687.50 = 3187.50
Wages $6.54 1. Cook, fast food 21. P
Answer:
I dont get it. :(
When multiplying two negative integers, what is the sign of the product? positive negative zero one
Answer:
Positive
Step-by-step explanation:
2 Negative's make a Positive
Answer:
Positive
Step-by-step explanation:
when adding two negative integers it makes a positive
2+ x/-10 = 2/5 A. -16 B -24 C. 16 D. 24
Answer:
c. 16
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Given
2 + [tex]\frac{x}{-10}[/tex] = [tex]\frac{2}{5}[/tex]
Multiply through by - 10 to clear the fractions
- 20 + x = - 4 ( add 20 to both sides )
x = 16
solve the following equation: x2-5=7
Answer:
x= 6
Step-by-step explanation:
Step 1: Write equation
2x - 5 = 7
Step 2: Solve for x
Add 5 to both sides: 2x = 12
Divide both sides by 2: x= 6
Step 3: Check
Plug in x to verify if it's a solution.
2(6) - 5 = 7
12 - 5 = 7
7 = 7
Layla measured a line to be 6.8 inches long. If the actual length of the line is 6.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Given parameters:
Measured length = 6.8inches
Actual length = 6.5 inches
Unknown parameter is the percentage error
Errors introduce uncertainty into a reading. Often times measurement errors are incurred in a process due to diverse reasons. This error can be due to the problems with the measuring device, incorrect reporting of measured values and also, the scientist can be at fault.
Deviation from the actual measurement leads to the concept of accuracy.
To solve this problem, we need to find the absolute error;
Absolute error = | Measured length - Actual length|
Input the variables given and solve;
Absolute error = | 6.8 - 6.5| = 0.3 inches
Now, let us find the percentage error;
Percentage error = [tex]\frac{Absolute error}{Actual length} x 100[/tex]
Input the parameters and solve;
Percentage error = [tex]\frac{0.3}{6.5} x 100[/tex] = 4.615%
To the nearest tenth percent = 4.6%
Therefore, the percentage error to the nearest tenth percent = 4.6%
How do you solve this
Answer:
use a graphinig calculator
Step-by-step explanation:
- 1 = 2m - n; solve for n
Answer:
n = 2m + 1
Step-by-step explanation:
[tex]-1=2m-n\\\\-1+n=2m-n+n\\\\-1+n=2m\\\\-1+1=n=2m+1\\\\\boxed{n=2m+1}[/tex]
Hope this helps.
Maria created a graph of B(t), the temperature over time. For the interval between t = 3 and t = 7, the average rate of change in her graph of B(t) is 8. Which statement must be true? The temperature was 8 degrees higher when t = 7 than when t = 3. The temperature was 8 times higher when t = 7 than when t = 3. The temperature was 32 degrees higher when t = 7 than when t = 3. The temperature was 2 degrees higher when t = 7 than when t = 3.
Answer:
C. The temperature was 32 degrees higher when t = 7 than when t = 3
Step-by-step explanation:
cause i big brain
Answer:
C, The temperature was 32 degrees higher when t = 7 than when t = 3.
Step-by-step explanation:
Just took the test, its c bb
The midpoint of AB is M(-1, -2). If the coordinates of A are (1,3), what are the
coordinates of B?
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
The coordinates of point B of the line segment are (-3, -7).
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]
Given that, the midpoint of AB is M (-1, -2).
The coordinates of A are (1,3).
Let the coordinates of point B are (x, y)
Here, (-1, -2) = [(1+x)/2, (3+y)/2)
-1=(1+x)/2 and -2=(3+y)/2
-2=1+x and -4=3+y
-3=x and -7=y
The coordinates of point B are (-3, -7)
Therefore, the coordinates of point B of the line segment are (-3, -7).
To learn more about the formula of midpoint visit:
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Consider the equation below. -2(5x + 8) = 14 + 6x
Answer:
-1.875
Step-by-step explanation:
1. Write the problem: -2(5x + 8) = 14 + 6x
2. Multiply -2 by 5 and 8 to get: -10x - 16 = 14 + 6x
3. Combine like terms: -16x - 16 = 14
4. Repeat step 3: -16x = 30
5. Divide -16 by 30 to get the answer which is -1.875.
Hope this helped!
Which of the following expressions is equivalent to -9?
Answer:
A and C
Step-by-step explanation:
-3*3 = -9
-1*-9 = 9
-27/3 = -9
-9/-1 = 9
A and C hope I could help
The sum of a number times 3 and 18 is at most -15.
Answer:
x=<-11
Step-by-step explanation:
3x+18=<-15
3x=<-33
x=<-11
Answer:
x ≤ -11.
Step-by-step explanation:
3x + 18 ≤ -15
3x + 18 ≤ -15
3x ≤ -33
x ≤ -11.
Change from standard form to scientific notation: 0.000398
Answer:
-398 to the 5th power or to the first power
