Answer:
a = b = c = 45°
Step-by-step explanation:
[tex]In\: \triangle BDC, \\\\
BD = CD.... (given) \\\\
\therefore m\angle DBC =m\angle DCB\\(By\: isosceles \:\triangle\: property) \\
\therefore a\degree = b\degree.... (1)\\\\
m\angle BDC= 90\degree \\\\
\because m\angle BDC + a\degree + b\degree=180\degree \\\\
90\degree+ a\degree + a\degree=180\degree\\ [from \: equation \: (1)]\\\\
2a\degree=180\degree -90\degree\\
2a\degree= 90\degree\\\\
\therefore a\degree=\frac{ 90\degree}{2} \\\\
\huge\purple {\boxed {\therefore a\degree=45\degree}} \\\\
\implies \huge\red {\boxed { b\degree=45\degree}} \\\\
In\: \triangle ABC, \\\\
AB = BC.... (given) \\\\
\therefore m\angle BAC =m\angle BCA\\(By\: isosceles \:\triangle\: property) \\
\therefore c\degree = b\degree\\\\
\because b\degree=45\degree \\\\
\implies \huge\orange {\boxed { b\degree=45\degree}} [[/tex]
The taxi driver charges $3.50 just to get in the cab and then $2.50 per mile. If Lisa travels m miles, which equation
tells Lisa how much she will have to pay for her taxi ride, r?
A r = 2.5 +3.5
B = 3.5m + 2.5
r= 2.5m + 3.5
Dr= 2.5m - 3.5
Answer:r=2.5m+3.5
Step-by-step explanation:
the distance between -3.17 and 0 on a number line is 3.17 units?
Answer:
Yes
Step-by-step explanation:
The absolute value, or distance of -3.17 from 0, is 3.17 units. The distance from 0 will always be postiive, because you can never be -5 units away from zero.
Please help me 20 points
Answer:
sureeeeeeeeeeeeeeeeee
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
it's actually 10 points
HELP PLEASE!!
What is Y
3.78÷15=? Show the work please.
Answer:
how would you show work?
the answer is 0.252
Step-by-step explanation:
Answer:
0.252
__________________________________________________________
We have to evaluate the expression:
3.78/15
Evaluation:
We can multiply both the numerator and the denominator with the same number and that won't change the actual number since the number would cancel out
So, multiplying numerator and the denominator by 100
[tex]\frac{3.78 * 100}{15 * 100}[/tex]
[tex]\frac{378}{15 * 100}[/tex]
Since 15*25 is 375, we will rewrite the numerator as:
[tex]\frac{375 + 3}{15 * 100}[/tex]
Now, we can split it into 2 separate fractions:
[tex]\frac{375}{15 * 100}+\frac{3}{15 * 100}[/tex]
This new equation is the same as the one before as it can easily be changed to that
Since 15*25 is 375 and 3*5 is 15:
[tex]\frac{25}{100}+\frac{1}{5 * 100}[/tex]
Since 25*4 is 100:
[tex]\frac{1}{4}+\frac{1}{500}[/tex]
0.25 + 0.002
0.252
Hence, 3.78/15 is 0.252
Question 4
At the beginning of each quarter, $100 is deposited into a saving account that pays 12% compounded monthly.
Find the future value (compound amount) of annuity for two years.
Answer:
$288
Step-by-step explanation:
12% monthly
144% yearly.
100*1.44*2 = all
all = 288
Hope this helps plz hit the crown :D
Which table represents a linear function?
it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line
Answer:
This table represents a function. none of the independent values (X) are repeated and each has only one corresponding depedent value (Y).The next table does not represent a function.The X column has two values that are 3, and they correspond to two different values for Y.
Determined to find the slope
(1 7K), and (-3,5K)
Answer: [tex]\dfrac{K}{2}[/tex] .
Step-by-step explanation:
As we know ,
The slope of a line that passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by :
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of a line that passes through (1 , 7K), and (-3,5K) =
[tex]\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}[/tex]
Hence, the slope of the given line is [tex]\dfrac{K}{2}[/tex] .
What is the equation for the line in slope-intercept form?
Enter your answer in the box. _____
4
Step-by-step explanation:
so the slope equation is y2-y1 over x2-x1 so by that logic 11-7 =4 and 4-3= 1 therefore it would equal all to 4 over 1 and by dividing that you get 4.
Can someone help me with 3 and 4
Answer:
x÷3+10 (if x=15)
15÷3+10
5+10
15
What's is the range 124 136 234 229 150
116 110 159 275 105
175 158 185 162 125
215 167 126 137 116
Answer:
the range is from 105 to 234
Step-by-step explanation:
Need help with question 4
9514 1404 393
Answer:
16/7
Step-by-step explanation:
If the segments are congruent, their lengths are equal:
(1/2)x -3 = 5 -3x
(3 1/2)x = 8
x = 8/(3.5) = 16/7
The value of x is 16/7.
_____
Comment on the question
This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.
I need help on both these questions
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods.
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each
club member must collect for the club to meet the goal?
10n +30<500
10n + 30 500
30n + 10 < 500
30n + 10 > 500
What is the quotient of 1414 divided by 32 and written in a mixed fraction
Answer:
44 3/16
Step-by-step explanation:
1414 ÷ 32 = 44.1875
[tex]44\frac{3}{16}[/tex] is 44.1875 as a mixed fraction.
Hope this helps!
If you need work let me know!
Brooke measures the height of her bean plant for a science project. The bean plant is 12.5 inches tall.
How many centimeters tall is Brooke’s bean plant?
Answer:31.75 centimeters
Step-by-step explanation:
Please I need this ASAP
Answer:
Step-by-step explanation:
Where is Ac leath
Answer:
26 cm
Step-by-step explanation:
just use Pythagoras theorem
c2 = a2 + b2
c2 = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]
c2 = 100 + 576
c2 = 676
shift the square to the other side and it becomes a square root
c = [tex]\sqrt{676}[/tex]
c = 26
AC = 26 cm.
Find the value of 8C0
Answer:
[tex]^8C_0=1[/tex]
Step-by-step explanation:
In this problem, we need to find the value of [tex]^8C_0[/tex].
The formula for the combination is given by :
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
We have,
n = 8 and r = 0
[tex]C(8,0)=\dfrac{8!}{0!(8-0)!}\\\\=\dfrac{8!}{8!}\ (\because\ 0!=1)\\\\=1[/tex]
So, the value of [tex]^8C_0[/tex] is 1.
The inequality x ≥ -3 is satisfied by point (0, -2). True False
please explain!!
Answer:
true
Step-by-step explanation:
x [tex]\geq[/tex] -3, when graphed, is a vertical line which crosses the x-axis at -3
The solution area is then shaded either to the left of that line or to the right
Look at the point (0, -2); the x-coordinate is zero, which is greater than -3
Therefore, if graphing, you would shade the area to the right of the line and every point contained in this area is a solution to x [tex]\geq[/tex] -3
are the equations 2x - y = - 4 and 3x + y = -1 dependent, independent or neither
Answer:
From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12[/tex]
[tex]\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2[/tex]
[tex]\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}[/tex]
[tex]6x+2y=-2[/tex]
[tex]-[/tex]
[tex]\underline{6x-3y=-12}[/tex]
[tex]5y=10[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}[/tex]
solving 5y = 10 for y
[tex]5y=10[/tex]
Divide both sides by 5
[tex]\frac{5y}{5}=\frac{10}{5}[/tex]
simplify
[tex]y=2[/tex]
[tex]\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2[/tex]
[tex]6x-3\cdot \:2=-12[/tex]
[tex]6x-6=-12[/tex]
Adding 6 to both sides
[tex]6x-6+6=-12+6[/tex]
[tex]6x=-6[/tex]
Divide both sides by 6
[tex]\frac{6x}{6}=\frac{-6}{6}[/tex]
[tex]x=-1[/tex]
Therefore, the solution to the system of equations be:
[tex]x=-1,\:y=2[/tex]
From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.
what is 5 divided by 5
Answer:
1
Step-by-step explanation:
You have 5 jelly beans and 4 imaginary friends
You have to split the jellybeans between yourself and your pretend friends.
Each of you gets 1 jellybean
(Except you get all the jellybeans because your friends don't exist)
Hope this helps :)
The net change for a certain stock is the dollar value change in the
stock's closing price from the previous day's closing price. The net changes of three
stocks were -3, 1, and -2. Which net change has the greatest absolute value?
Answer:
-3
Step-by-step explanation:
Just put that trust me
4. -5x-15=-3x+23
29. -107-7x=73-13x
EXPLAIN STEPS AND SHOW WORK
THANKS BROTHA
`•••~Low_Millenial~•••`
°°°°°°Tutor and pal°°°°°°°
Answer:
x=-19 x=30
Step-by-step explanation:
-5x-15=-3x+23
-23 -23
-5x-38=-3x
+5x +5x
-38=2x
/2 /2
-19=x
-107-7x=73-13x
-73 -73
-180-7x=-13x
+7x +7x
-180=-6x
30=x
Mikaela will invest $2,500 in an account that pays her 7.5% over 2 years. How much interest will she receive? Also, how much will she make total?
Answer:
i. $375
ii, $2875
Step-by-step explanation:
Given
Princinpal= $2,500
rate= 7.5%
time= 2 years
Required,
The simple interest, and the final amount
Step two:
SI= PRT/100
SI= 2500*7.5*2/100
SI=37500/100
SI=$375
The simple interest is $375
And the final amount = $2,500 +$375= $2875
Sofia is making quarter circle felt pieces for a sewing project. If the diameter of one full circle is 4.6 inches, what is the area of each quarter circle rounded to the nearest hundredth? use 3.14
3.61
4.15
16.61
66.44
Answer:
4.15
Step-by-step explanation:
what is the value of the digit 2 in 92153
Answer:
thousand is the correct answer :)))
PLZ HELP NOW!!!! PLEASEE
A recipe uses 5 cups of flour for every 2 cups of sugar.
How much sugar is used for 1 cup of flour?
How much flour is used for 1 cup of sugar?
How much flour is used with 7 cups of sugar?
How much sugar is used with 6 cups of flour?
Answer:
2.5
Step-by-step explanation:
5 divided by 2= 2.5
Answer:
2.5
Step-by-step explanation:
Please help!!!! I will mark brainliest!!
Answer:
1 4 6 8 Have a good night ✨ ☺
please help me!!!
asap please please please
Answer:
I'm pretty sure its the 3rd answer
Answer:C
Step-by-step explanation:
For every white square there is 3 blue squares, so you look around the white swuare and around each white square is 3 blue squares