Find the measure of the missing angel
Answer:
58 degrees
Step-by-step explanation:
1. Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F + G) (2) =
a. 4
b. 5
c. 9
2. Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F - G) (6) =
a. -3
b. 3
c. -1
3. Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F G) (2) =
a. 20
b. 10
c. 40
Answer:
b.5
a-3
a.20
its korrect now
please help first answer will be marked brainiest
Answer:
6x
Step-by-step explanation:
add sides up
A pair of dice is tossed. what is the probability of getting sum of 5 or 9?
A)7/9
B)5/9
C)1/9
D)2/9
Answer:
[tex]Probability = \frac{2}{9}[/tex]
Step-by-step explanation:
Given:
A pair of dice
Required
Determine the probability of a sum of 5 or 9
Let the sample space of the first die be S1 and the second, S2
[tex]S_1 = {1,2,3,4,5,6}[/tex] --- 6 outcomes
[tex]S_2 = {1,2,3,4,5,6}[/tex] --- 6 outcomes
Number of sample space, n is:
[tex]n = 6 * 6[/tex]
[tex]n = 36[/tex]
Next, we list out all possibilities of obtaining a sum of 5
[tex]Sum\ of\ 5 = \{(1,4),(2,3),(3,2),(4,1)\}[/tex]
n(Sum5 )= 4
Next, we list out all possibilities of obtaining a sum of 9
[tex]Sum\ of\ 9 = \{(3,6),(4,5),(5,4),(6,3)\}[/tex]
n(Sum9)= 4
The required probability is then calculated as:
[tex]Probability = \frac{n(Sum9)}{Total} + \frac{n(Sum5)}{Total}[/tex]
[tex]Probability = \frac{4}{36} + \frac{4}{36}[/tex]
Take LCM
[tex]Probability = \frac{4+4}{36}[/tex]
[tex]Probability = \frac{8}{36}[/tex]
Simplify
[tex]Probability = \frac{2}{9}[/tex]
For what value of k, the zeroes of x2 + kx + 12 will differ by 1?
Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.
By the factor theorem, we can write the quadratic in terms of its zeroes as
x² + kx + 12 = (x - a) (x - b)
Expand the right side and equate the coefficients:
x² + kx + 12 = x² - (a + b) x + ab
Then
a + b = -k
ab = 12
The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.
Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :
a + (a - 1) = -k → 2a = 1 - k → a = (1 - k)/2
a (a - 1) = 12 → (1 - k)/2 • ((1 - k)/2 - 1) = 12
→ (1 - k)²/4 - (1 - k)/2 = 12
→ (1 - k)² - 2 (1 - k) = 48
→ (1 - 2k + k²) - 2 (1 - k) = 48
→ k² - 1 = 48
→ k² = 49
→ k = ± √(49) = ±7
3. State what additional information is required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate
The additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A
What is the SSS congruence postulate?The SSS congruence theorem states that If all the sides of one triangle are equivalent to the corresponding three sides of the second triangle, then, the two triangles are said to be congruent.
From the diagram given, we have;
Triangles NLMTriangle LNYFor the three sides of triangles NLM to be equivalent to that of LNY;
Line MN must be equal to line YL
Thus, the additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A
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What is [tex]\frac{2}{5}[/tex] as a decimal
Answer:
0.4
Step-by-step explanation:
2 x 20=40
5 x 20=100
40/100= 0.40 simplified as 0.4
Answer:
2/5 as a decimal is 0.4
Step-by-step explanation:
2 divided by 5 would equal 0.4
Solve the system of equations using the substitution method.
y=2+56x
4x−3y=3
Enter your answer in the boxes.
(___,___)
Answer:
(6,7)
Step-by-step explanation:
took the test, was correct.
x= 6, y=7
solve for the first variable in one of the equations, then substitute the result into the other equations.
The value of x is 0.05 and y is 4.8 for given system of equations.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
y=2+56x...(1)
4x−3y=3...(2)
Substitute (1) in equation (2)
4x-3(2+56x)=3
4x-6+168x=3
172x-6=3
Add 6 on both sides
172x=9
Divide both sides by 172
x=9/172
x=0.05
Now plug in x value in equation 1
y=2+56(0.05)
=2+2.8
y=4.8
Hence, the value of x is 0.05 and y is 4.8 for given system of equations.
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I have 17 warnings how am I not banned from the app yet?
You should ask a moderator
How long is the carrot?
Answer:
4 3/4 inches
Step-by-step explanation:
Answer:
[tex]4\frac{3}{4}[/tex]
Step-by-step explanation:
Solve equation 6x+5=35
please help!! picture linked below.
Answer:
50y + 25x = 800
&
50x + 25y = 800
Solve Each Equation PLS SHOW WORK
|5k-8| / 10 = 2
|5k-8| / 10 is a fraction btw
Answer:
The maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅
Step-by-step explanation:
Given;
[tex]\frac{|5k-8|}{10} = 2\\\\|5k-8| = 20[/tex]
Simplifying further;
5k - 8 = 20 ------- (1)
5k - 8 = -20------(2)
Solving equation (1)
5k - 8 = 20
5k = 28
k = 28 /5 = 5 ³/₅
Solving equation (2)
5k - 8 = -20
5k = -20 + 8
5k = -12
k = -12 / 5 = -2 ²/₅
Thus, the maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅
Find the angle of elevation
from point C to point A.
A
?
59°
402 m
C
B
Angle of elevation = [?]°
what is the slope of the line described by the equation below y-6=-2(x-8)
Answer:
-2
Step-by-step explanation:
you have to rearange in the form of
y=mx+b, where m is the slope
y -6= -2( x-8)
y = 6 -2x + 16
y= -2x +22
slope is -2
**NEED THIS WITHIN 5 MINS** Stan’s employer pays for 45% of his annual health insurance premium of $4,567.00. Stan pays the remaining balance by having it deducted in equal amounts from his 26 paychecks throughout the calendar year. How much will Stan have deducted from each paycheck?
Answer:
$88.3
Step-by-step explanation:
Here 42% of annual health premium($5450)=*5450
=$2289
This amount is being paid by the company means it is deducted amount in one year.
One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.
Deducted amount=
=$88.30
another trigonometry question
i just want this test to be over >-
Answer:
e) cos(90-x)
Step-by-step explanation:
sinx=cos(90-x)
Can someone help me on this? which one is it???
Identify the slope shown in the linear equation below. y = - 5x + 3
Answer:
Slope: -5 Y-intercept: 3
Step-by-step explanation:
the slope intercept of a linear equation is:
y=mx+b
were m is slope. and b is the y intercept
therfore the problem is:
y=-5x+3
m=-5 so the slope is -5
b=3 so the y-intrercept is 3
Answer:
-5
Step-by-step explanation:
The slope is always in front of the x
help bro. ;;;;;;;;;;;;;;;;;;;;;;;
Answer:
Jose answered incorrectly. In his second step, where he expanded the term 5(c - 2), he multiplied the c by five, but failed to multiply the two, giving him, "5c - 2 - 2c" instead of the correct expression "5c - 10 - 2c".
Answer:
top one is right 100% right!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Put parenthesis around 5 + 4 × 2 + 6 - 2 × 2 + 1 to make the answer 19
Answer:4x2
Step-by-step explanation:
ASAP PLS HELP ME with this
Answer:
160
Step-by-step explanation:
there are 3 rectangles in the irregular figure cut across them with your pen by drawing lines and indicate using dimensions.
1. 4 by 6 =24
2. 6 by 11 =66
3. 7 by 10= 70
add them altogether
=160
Help pls! 10 points!
Jamal makes $186 a week at his job. He plans to save 5% of his paycheck for a P.Y.F account. How much money will Jamal put in his P.Y.F account this week.
Answer:
$9.30
Step-by-step explanation:
Answer:
Jamal will put $9.30 in his P.Y.F. account this week.
Step-by-step explanation:
Jamal makes $186 a week. He plans to save 5% of that in his P.Y.F. account.
%5 of $186 is $9.30 ($186/20).
This week, he will put $9.30 in his P.Y.F. account.
Hope this helps!
Simplify the expression by combining like terms.
15 + 12z– 5z + 4y- 7
Answer: = 4y + 7z + 8
Answer:
7z+4y+8
Step-by-step explanation:
Collect the like terms so 12z-5z would be 7z, then since there is only 1 y term it would be 4y, and -7 + 15= 8
what is the last number to put in the following question i am confused ..
Answer:
2^6
Step-by-step explanation:
2^6=64
2x2x2x2x2x2=64
it's 2 to the power of 6
13x + 9 equals 6x - 12
Answer: okay is that a question?
Step-by-step explanation:
Answer:
[tex]given \\ 13x + 9 = 6x - 12 \\ = > 13x - 6x = - 12 - 9 \\ = > 7x = - 21 \\ = > x = \frac{ - 21}{7} \\ = > x = - 3[/tex]
it may be helpful for youif any problem then consulting with meWrite y=−4x−4 in standard form .
Answer:
Y=-4x-4= [tex]x=- \frac{y+4}{4}[/tex]
Step-by-step explanation:
Answer: The answer is x=–y+4/4?
Step-by-step explanation:
Shelly is making an apple pie.she needs 3/4 cup of sugar for her pie.How many cups of sugar will she need if she makes 7 pies?
8) Find x ifm/HGS = 3x + 5,
m/SGF=21x +3, and m/HGF = 176º.
The required value of x is 7.
In the given statement is:
m/HGS = 3x + 5,
m/SGF=21x +3, and m/HGF = 176º.
and, to find the value of 'x'
The two angles, ∠HGS & ∠SGF, when combined, will result in ∠HGF
m ∠HGS = 3x + 5
m ∠SGF = 21x + 3
m ∠HGF = 176°
Set the equation:
m ∠SGF + m ∠HGS = m ∠HGF
Plug in the corresponding terms to the corresponding variables:
21x + 3 + 3x + 5 = 176°
24x + 8 = 176°
24x = 176° - 8
24x = 168°
x = 168°/24
x = 7
Hence, The required value of x is 7.
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