Answers
Answer:
a. Isosceles
b. It has two equal angles
Step-by-step explanation:
✅<DCA = <BAC = 50° (alternate interior angles are congruent)
<ACB = 180 - (<BAC + <ABC) (sum of triangle)
<ACB = 180° - (50° + 80°) (substitution)
<ACB = 50°
✅∆ABC is an isosceles triangle judging from the measure of its three angles. ∆ABC has two equal angles. ∆ABC is therefore an isosceles ∆.
Related Questions
PLEASE HELP!!! ASAP
determine the number and type of solutions to the equation: x^2+7x=-11
a.) two real solutions
b.) one real solution
c.) two imaginary solutions
d.) one imaginary solution
Answers
Answer:
b i think because for it to be imaginary, im sure there has to be an i in the equation
Answer:
A) Two Real Solutions
Step-by-step explanation:
Correct on Big Ideas Math :)
Here is a rectangle with some right triangles inside it. Which triangles are similar to triangle AED?
Answers
The triangle that is similar to this triangle from the given rectangle is triangle FED
Similar shapesSimilar shapes are shaped with similar sides and angles. From the given diagram, we are to determine with the triangle is similar to the triangle AED.
This means we need to determine which of the triangles has similar sides as triangle AEDThe triangle that is similar to this triangle from the given rectangle is triangle FEDLearn more on similar shapes here; https://brainly.com/question/2644832
If you invested $250 at 16% interest, how much would you have after 18 years?
Answers
Answer:
4,000
Step-by-step explanation:
What is the slope of the line?
Answers
Answer:
the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Step-by-step explanation:
You didn't put a picture, so I didn't know if you meant what it means, or from a line?
For each of the situations described below,give an example(if it’s possible) or explain why it’s not possible.
a. A set of vectors that does not span R^3. After adding one more vector, the setdoes spanR3.
b. A set of vectors that are linearly dependent. After adding one more vector, theset becomes linearly independent.
Answers
Step-by-step explanation:
a) If the given set of vectors does not span [tex]\mathbb{R}^{3}[/tex] , it means the number of linearly independent vectors are less than 3. So by adding one or more linearly independent vectors with respect to existing vectors, we can convert the set to basis and basis always spans vector space.
eg. [tex]S= \left \{ (1,0,0)^{T},(1,2,0)^{T} \right \}[/tex] this set does not span [tex]\mathbb{R}^{3}[/tex] . Since it has only two vectors and both vectors are linearly independent, so adding one linearly independent vector with respect to the vectors of S viz. (0,0,1)^{T} can span whole [tex]\mathbb{R}^{3} [/tex].
b) It is not possible. Since if a set of vectors is linearly dependent then after adding linearly independent vectors it will also linearly dependent i.e. addition of a linearly independent vector does not effect on the set.
what is the square root of 9? thank you hoomans in advance :P
Answers
Answer:
it's 3 =^_^=
Step-by-step explanation:
Answer:
3 I think :)
Step-by-step explanation:
square root of 9 is 3
The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.
Answers
Given:
The sum of two terms of GP is 6 and that of first four terms is [tex]\dfrac{15}{2}.[/tex]
To find:
The sum of first six terms.
Solution:
We have,
[tex]S_2=6[/tex]
[tex]S_4=\dfrac{15}{2}[/tex]
Sum of first n terms of a GP is
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex] ...(i)
Putting n=2, we get
[tex]S_2=\dfrac{a(1-r^2)}{1-r}[/tex]
[tex]6=\dfrac{a(1-r)(1+r)}{1-r}[/tex]
[tex]6=a(1+r)[/tex] ...(ii)
Putting n=4, we get
[tex]S_4=\dfrac{a(1-r^4)}{1-r}[/tex]
[tex]\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}[/tex]
[tex]\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}[/tex]
[tex]\dfrac{15}{2}=6(1+r^2)[/tex] (Using (ii))
Divide both sides by 6.
[tex]\dfrac{15}{12}=(1+r^2)[/tex]
[tex]\dfrac{5}{4}-1=r^2[/tex]
[tex]\dfrac{5-4}{4}=r^2[/tex]
[tex]\dfrac{1}{4}=r^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{\dfrac{1}{4}}=r[/tex]
[tex]\pm \dfrac{1}{2}=r[/tex]
[tex]\pm 0.5=r[/tex]
Case 1: If r is positive, then using (ii) we get
[tex]6=a(1+0.5)[/tex]
[tex]6=a(1.5)[/tex]
[tex]\dfrac{6}{1.5}=a[/tex]
[tex]4=a[/tex]
The sum of first 6 terms is
[tex]S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}[/tex]
[tex]S_6=\dfrac{4(1-0.015625)}{0.5}[/tex]
[tex]S_6=8(0.984375)[/tex]
[tex]S_6=7.875[/tex]
Case 2: If r is negative, then using (ii) we get
[tex]6=a(1-0.5)[/tex]
[tex]6=a(0.5)[/tex]
[tex]\dfrac{6}{0.5}=a[/tex]
[tex]12=a[/tex]
The sum of first 6 terms is
[tex]S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}[/tex]
[tex]S_6=\dfrac{12(1-0.015625)}{1.5}[/tex]
[tex]S_6=8(0.984375)[/tex]
[tex]S_6=7.875[/tex]
Therefore, the sum of the first six terms is 7.875.
HELP HELP HELP HELP IM BEGGING YOU PLEASE PLEASE!!!
Answers
Answer:
2n + 18.....
Step-by-step explanation:
yea
The two figures are similar. Identify the similar sides, and then write the similarity statement. Fill in each blank, then complete the sentence by explaining your reasoning.
• AB is similar to ____ because:
• AC is similar to ____ because:
• CB is similar to ____ because:
Step 2: Write the similarity statement.
Answers
Answer:
- AB is similar to YZ because all the sides from triangle ABC got multiplied by 3/4, and 40 times 3/4 = 30.
- AC is similar to YX because 50 times 3/4 = 37.5.
- CB is similar to XZ because 60 times 3/4 = 45.
hope this helps!
Can you find the mass of the angles?
Answers
b=48
c=137
enjoy :) ....
How many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze
Answers
Answer:
67 gallons.
Step-by-step explanation:
To determine how many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze, the following calculation must be performed:
0.15 x 90 + 0.70 x 10 = 20.5 / 100 = 0.20
0.15 x 90 + 0.70 x 30 = 34.5 / 100 = 0.34
0.15 x 90 + 0.70 x 60 = 55.5 / 100 = 0.55
0.15 x 90 + 0.70 x 67 = 60.4 / 100 = 0.60
Thus, 67 gallons of 70% antifreeze solution will be needed to achieve a 60% mix of that solution.
- في الشكل المجاور برهن أن
m<E <m<CAD
B
D A
E
-
Answers
Answer:
B
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
x = 12
Step-by-step explanation:
Marcus rolled a number cube and recorded his results in the table. What is the experimental probability that the next roll is a five? Round your answer to the nearest whole percent.
Answers
Answer:
The probability is 13.33%
Step-by-step explanation:
Probability
The probability of an outcome is defined as the frequency of the number of times the outcome occurs (f) relative to the number of times that it could have occurred (n).
The formula to calculate the probability is:
[tex]\displaystyle P=\frac{f}{n}[/tex]
Marcus rolled a number cube and the results are recorded in a table where it can be noted that the number five rolled f=24 times. The total number of trials is n=30+45+30+28+24+23=180.
The probability that the next roll is a five is:
[tex]\displaystyle P=\frac{24}{180}[/tex]
Simplifying:
[tex]\displaystyle P=\frac{24}{180}[/tex]
[tex]\displaystyle P=\frac{2}{15}[/tex]
Dividing:
[tex]\displaystyle P=0.1333 = 13.33\%[/tex]
The probability is 13.33%
Factor completely 2x3 + 6x2 + 2x + 6
Answers
Answer:
2(x+3)(x2+1)
Step-by-step explanation:
ava pours 3 gallons of paint equally into 5 cans. how many gallon of paint will there be in each can?
Answers
Answer:
15 gallons of paint
Step-by-step explanation:
5 x 3 = 15
equal groups !
Solve the Equation.
y = 5 = 125
Answers
If Y = 5 and the X is = 1 then Y = 125 is X = 25
Sydney invested $440 in an account paying an interest rate of 5.6% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $640?
Answers
Answer:
The time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.
Step-by-step explanation:
Given
Principle Amount P = $440 Accrued Amount A = $640Interest rate r = 5.6% = 0.056Compounded daily n = 365To determine:
Time period t = ?
Using the formula
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
solving for t
t = ln(A/P) / n[ln(1 + r/n)]
substituting the values A = 640, P = 440, n = 365 and r = 0.056
t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )
t = 6.691
t ≈ 7 (nearest year)
Therefore, the time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.
The equation of a circle is x2 +y2 =81 what is the diameter of the circle
Answers
Answer:
pretty sure it's 9.
Step-by-step explanation:
square root of 81 is 9. 3 is its radius.
I’ll give
Brainly What is the surface area of the figure below?
Answers
Answer:
36
Step-by-step explanation:
You do 6+6+12+12
*3 times 4= the two twelves
Help plz I’m stuck on this
Answers
The two triangles above are similar. What is the value of x ?
A) 5
B) 7.5
C) 8
D) 13 1/5
Answers
Answer:
7.5
Step-by-step explanation:
[tex]\frac{6}{8} =\frac{x}{10}\\crossmultiply\\60=8x\\solvefor x\\ x=7.5[/tex]
Similar triangles are those triangles whose corresponding sides are in the same ratio. In the two similar triangles, the value of x is 7.5 units.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.
Given that the two of the given triangles are similar triangles. Therefore, the ratio of the sides of the triangle can be written as,
6/x = 8/10
Solving the ratio for x,
x = (6×10)/8
x = 60/8
x = 7.5 units
Hence, in the two similar triangles, the value of x is 7.5 units.
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Consider this solution to a problem.
Problem: -4(6-y)+4=-4
Step 1: -24-4y+4=-4
Step 2: -20-4y=-4
Step 3: -4y = 16
Step 4: y=-4
In the first response box, enter the number of the step where the mistake is made.
Step:
In the second response box, enter the correct solution to the problem.
Answers
Answer:
1. The mistake was the sign that was put negative instead of positive.
2. y = 4
Step-by-step explanation:
In the first response box, enter the number of the step where the mistake is made.
Step:
The mistake is on step 1: This is the distributive property, however it was distrubuted wrong since the signs were used wrong.
-4(6-y)+4=-4 does not equal -24-4y+4=-4
The reason is because -4 x -y is not equal to -4y because negative x negative = positive. So, it's equal to +4y.
In the second response box, enter the correct solution to the problem.
Problem: -4(6-y)+4=-4
Step 1: -24 + 4y + 4 = -4 (Distributive Property Of Equality)
Step 2: -20 + 4y = -4 (Combine Like Terms)
Step 3: 4y = 16 (Addition Property Of Equality)
Step 4: y = 4 (Division Property Of Equality)
Solve the inequality for the missing variable
24 -1t
1/5
Answers
Answer:
−t+24
Step-by-step explanation:
Please answer this correctly without making mistakes
Answers
Answer:
0 tablespoons and 2 teaspoons
Step-by-step explanation:
method 1:
Do the calculation in teaspoons for accuracy:
1173 tablespoons and 1 teaspoons = 1173*3 + 1 = 3520 teaspoons
Now 3520 / 1760 = 2 teaspoons exactly.
Hence the answer is 2 teaspoons.
method 2:
1173 / 1760 ≈ 0.666 tablespoons ≈ 1.998 teaspoons
1 / 1760 ≈ 0.00057 teaspoons
1.998 + 0.00057 ≈ 2 teaspoons
Method 1 is clearly more accurate
Iman’s favorite colors are \blue{\text{blue}}bluestart color #6495ed, start text, b, l, u, e, end text, end color #6495ed and \pink{\text{pink}}pinkstart color #ff00af, start text, p, i, n, k, end text, end color #ff00af.
She has \blue{\text{1 blue shirt}}1 blue shirtstart color #6495ed, start text, 1, space, b, l, u, e, space, s, h, i, r, t, end text, end color #6495ed, \pink{\text{1 pink shirt}}1 pink shirtstart color #ff00af, start text, 1, space, p, i, n, k, space, s, h, i, r, t, end text, end color #ff00af, \blue{\text{1 blue hat}}1 blue hatstart color #6495ed, start text, 1, space, b, l, u, e, space, h, a, t, end text, end color #6495ed, \blue{\text{1 blue belt}}1 blue beltstart color #6495ed, start text, 1, space, b, l, u, e, space, b, e, l, t, end text, end color #6495ed, \blue{\text{1 blue pair of pants}}1 blue pair of pantsstart color #6495ed, start text, 1, space, b, l, u, e, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #6495ed, and \pink{\text{1 pink pair of pants}}1 pink pair of pantsstart color #ff00af, start text, 1, space, p, i, n, k, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #ff00af.
Iman selects one of these garments at random. Let AAA be the event that she selects a pink garment and BBB be the event that she chooses a shirt.
What is P(A\text{ or }B)P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that the garment Iman chooses is pink or a shirt?
Answers
Answer:
1/2
Step-by-step explanation:
i got this from camellarosegarcia. thank you camellarosegarcia!!!
also got it right on Khan :)
The answer of probability that the garment Iman chooses is pink or a blue shirt is 1/2
What is Probability ?Probability means possibility.
It is a branch of mathematics that deals with the occurrence of a random event.
The value is expressed from zero to one.
The meaning of probability is basically the extent to which something is likely to happen.
Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring.
In this case Iman has 2 choices pink or blue
So the probability that the garment Iman chooses is pink or a blue shirt
is 1/2 .
To know more about Probability
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HELP!!
Construct the graph of the direct proportion y=kx for k=1
Answers
3,3
Pretty simple.
1 x 3 = 3
The graph of the direct proportion y = kx for k=1 is shown in figure.
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The direct proportion is defined as,
⇒ y = kx
Now, The equation for k = 1 is,
⇒ y = kx
⇒ y = 1x
⇒ y = x
Clearly, It represent the straight line.
Hence, The graph of y = x is shown in figure.
Learn more about the linear expression visit:
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Lin wants to save 75$ for a trip to the city. If she has saved $37.50 so far, what percentage of her goal has she saved? What percentage remains?
Answers
Answer:
37.50÷75=0.5 so first you are dividing bcus u need to find what percentage she has saved.
Answer:
O.5 because u need to divide and give me brainlessly plz
Step-by-step explanation:
Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class.
Freshmen 83
Sophomores 68
Juniors 85
Seniors 64
We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.
A) What is the expected number of freshmen?
B) What is the expected number of seniors?
C) What is the calculated value for the test statistic?
D) What is the p-value?
E) At 95% confidence, should the null hypothesis be rejected?
Answers
Answer:
1.66
Step-by-step explanation:
We need to conduct a chi square test
The statistic used to check this is given by the below
∑(n, 1) = [(O(i) - E(i)] / E(i)
From the question, we're told the observed value is
Freshmen
Sophomore
Junior
Senior.
After that, we then calculate the expected value.
Freshman
0.3 * 300 = $90
Sophomore
0.24 * 300 = $72
Statistics then finally gives us this
X² = (93 - 90²)/90 + (68 - 72)²/72 + (85 - 78)/78 + (64 -60)²/60
X² = 3² / 90 + 4² / 73 + 13² / 78 + 4² / 60
X² = 0.1 + 0.212 + 2.167 + 0.266 x+
X² = 2.745
X = √2.745
X = 1.66
help pls? If mF= 109*, mQ=122*, mR=44, find mJ
Answers
Answer:
∠J=85°
Step-by-step explanation:
Theory to know when answering this question:
1. The sum of the angles in a quadrilateral (shape with four sides) is 360°
2. Similar shapes have the same angles
Point 1 tells us that ∠P+∠Q+∠S+∠R=360
Point 2 tells us that ∠F=∠P, ∠G=∠Q, ∠J=∠S, and ∠H=∠R.
∴∠F+∠Q+∠J+∠R=360
109+122+∠J+44=360
∠J=360-275=85°