BD=16 and ÁT is the
perpendicular bisector of BD. Y=?

BD=16 And T Is Theperpendicular Bisector Of BD. Y=?

Answers

Answer 1

Answer:

[tex]y= 5[/tex]

Step-by-step explanation:

Given

[tex]BD = 16[/tex]

[tex]BC = 2y - 2[/tex]

[tex]CD = y + 3[/tex]

Required

Find y

[tex]BD = BC + CD[/tex]

So, the expression becomes

[tex]16 = 2y - 2 + y + 3[/tex]

Collect like terms

[tex]16 = 2y + y- 2 + 3[/tex]

[tex]16 = 3y+1[/tex]

Collect like terms

[tex]3y = 16 - 1[/tex]

[tex]3y = 15[/tex]

Make y the subject

[tex]y= 15/3[/tex]

[tex]y= 5[/tex]


Related Questions

WILL GIVE BRAINYEST!!! PLS HELP!!!

Mr. Hudson walked 12 miles in 3 hours. At this rate,
how far will he walk in 5 hours? Write your answer in
a complete sentence AND show your work.

Answers

First you are going to want to find the rate per hour (12/3=4) so multiply 4 x 5 = 20
Mr. Hudson is going to walk 20 miles in 5 hours

find 2 numbers if their sum is 3 and their difference is 21

Answers

Answer:

the 2 numbers are 12 and -9

Step-by-step explanation:

x + y = 3

x - y = 21    Adding:-

2x = 24

x = 12

y = 3 - x = 3  12 = -9

Answer the 2 numbers are 12 and -9

Answer:

The numbers are 12 and - 9.

Step-by-step explanation:

12 - 9 = 3

- 9 to 12 is 21

Which data set has a median of 15?
18, 9, 19, 16, 6, 20.13
09, 17, 13, 15, 16, 8, 12
18, 15, 11, 14, 19, 15, 6
O 7, 16, 14, 16, 11, 7, 17
Help please.

Answers

Median is the middle value.

Each set has 7 numbers so put the numbers in order from smallest to largest. The median would be the 4th number in the sets.

Only 2 sets have the number 15 in them so those are the only two you need to look at.

The 3rd choice is the correct answer.

A sugar box manufacturing company is accurately making 100 g packets. Suppose a business researcher randomly selects 100 boxes, weighs each of them and computes its mean. Due to non-random selection or by chance, a researcher selects packets that have not been adequately filled and that is how he gets the mean weight of 98 g, which falls in the rejection region. The decision is to reject the null hypothesis even though the population mean is actually 100 g. Which kind of error has the researcher done in this case

Answers

Answer:

The kind of error the researcher has done is a;

Type I error

Step-by-step explanation:

When carrying out hypothesis testing in statistical analysis, a type I error is the type of error said to have occurred when a null hypothesis that is true or correct is rejected which is a false positive conclusion

Given that that sugar box manufacturing company makes the boxes to be 100 g accurately, and that the researcher makes non-random or randomly selects packets which are not filled, the mean of the filled packets is expected to be 100 g making the conclusion for rejection of the null hypothesis a false positive rejection

write as a square of a binomial: 4.8xy+36y^2+0.16 i will give brainliest plz solve

Answers

Answer:

[tex](0.4x + 6y)^2[/tex]

Step-by-step explanation:

Given

[tex]4.8xy+36y^2+0.16x^2[/tex]

Required

Express as a binomial squared

[tex]4.8xy+36y^2+0.16x^2[/tex]

Rewrite as:

[tex]0.16x^2+4.8xy+36y^2[/tex]

Expand

[tex]0.16x^2 + 2.4xy + 2.4xy + 36y^2[/tex]

Factorize:

[tex]0.4x(0.4x + 6y) + 6y(0.4x + 6y)[/tex]

Factor out 0.4x + 6y

[tex](0.4x + 6y)(0.4x + 6y)[/tex]

Express as a square:

[tex](0.4x + 6y)^2[/tex]

expand and simplify 2 (x+7) +3 (x+1)

Answers

2(x + 7) + 3(x + 1) =

= 2x + 14 + 3x + 3 = 5x + 17

Helppppppppp plzzzzz !!!!
In a certain elementary school, 52% of the students are girls. A sample of 65 students is drawn.

1) What is the probability that less 60% of them are girls.

A) 0.0018

B) 0.8023

C) 0.8773

D) 0.9016

Type A, B, C, or D in the box

2) What is the probability that more than 70% of them to be girls.

A) 0.0018

B) 0.8023

C) 0.8773

D) 0.9016

Type A, B, C, or D in the box

3) Would it be unusual for more than 70% of them to be girls.

Type "usual" or "unusual" in the box

Answers

Answer:

a

c

b

i think those are right hope im not wrong good luck

A quadrilateral has angles that measure 60 , 115, and 80°. What is the measure of the missing angle?

Answers

Answer:

105

Step-by-step explanation:

The sum of a quadrilateral's angles is always equal to 360

360 - 60 - 115 - 80 = 105

Hope this helps :)

In 2007, Bob Jones University ended its fall semester a week early because of a whooping cough outbreak; 158 students were isolated with suspected infection and another 1200 given antibiotics as a precaution.14 Authorities react strongly to whooping cough outbreaks because the disease is so contagious. Because the effect of childhood vaccination often wears off by late adolescence, treat the Bob Jones students as if they were unvaccinated. It appears that approximately 1400 students were exposed. What is the probability that at least 75% of these students would develop infections if not treated

Answers

Answer:

If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.

Step-by-step explanation:

Let Y be the no. of infections

The number of students who have been exposed to whooping cough is as follows:

n = 1400

n = 1400  and p = 0.8

nm = 1400 x 0.8

nm = 1120

n(1-m) = 1400 x (1-0.8)

n(1-m) = 280

Here,

Both nm and n(1-m) are greater than or equal to 10. So, we use normal distribution.

The mean and standard deviation of number of new infections is:

u = np

u =1400 x 0.8

u = 1120 = mean

SD = Standard Deviation  

SD = [tex]\sqrt{1120(1-0.8)}[/tex]

SD = 14.966

The number of infections is distributed in an approximately normal way

N(1120,14.966)

75% of 1400 means 0.75  x 1400 = 1050

So,

Probability required.

P (Y[tex]\geq[/tex] 1050) = P (Y [tex]\geq[/tex] 1050 - 0.5)    (Continuity Correction)

P (Y[tex]\geq[/tex] 1050) = P([tex]\frac{Y - u}{SD} \geq \frac{1049.5 - 1120}{14.966}[/tex])

P (Y[tex]\geq[/tex] 1050) =  P(Z [tex]\geq[/tex] -4.71)

P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\leq[/tex] 4.71)

Using the z table:

P (Y[tex]\geq[/tex] 1050) ≈ 1

Hence,

If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.

PLEASEEE HELPPP members of a middle school Business Club want to raise money to attend a conference for young entrepreneurs so far the club has raised $450. members suggest a few new ideas. Jenna suggest that the club hold a carwash the Club will need to spend $30 on cleaning supplies before making a profit jenna presents her plan to the club using the table below make a graph of the data to show the relation

*please provide a graph

Part B: is the relation a function if so write an equation for the function ​

Answers

Answer:

Number of cars 16 profit-30

find the m A. 31
B. 12
C. 74
D. 106

Answers

Answer:

C is my answer

Answer:

D ∠U=106°

Step-by-step explanation:

∠TRS=∠RTU=31 (corresponding angles)

Since all angles in a triangle add up to 180:

∠TRS+∠RTS+∠RST=180

31+(4x-5)+(7x+22)=180

48+11x=180

11x=132

x=12

∠RST=7x+22=7(12)+22=84+22=106

∠RST=∠U (opposite angles in a rhombus are equal)

∠U=106°

Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read
89 pages. Which equation most closely estimates how many pages Kevin has
remaining to read?

Answers

The equation most closely estimates the number of pages Kevin has remaining to read will be x + 73 + 89 = 295.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read 89 pages.

Let 'x' be the number of pages to be read. Then the equation is given as,

x + 73 + 89 = 295

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

solve for x!! please helppp

Answers

Answer:

x=29

Step-by-step explanation:

The sum of angles in a triangle is 180deg.

We know this is a right triangle, so the third angle is 90deg, leaving us with 90deg for the other two.

(2x-2) + (x+5) = 90

3x + 3 = 90

3x = 87

x = 29

Answer:

here u go ...just do it and try to understand who I did it

Leonardo puts $450 in a bank account that earns 3.5% simple interest. How much interest will he earn in four years?

Answers

Answer:

$63

Step-by-step explanation:

Answer:

$63

Step-by-step explanation:

Mar 12, 8:09:33 PM
Triangle MNO is similar to triangle PQR. Find the measure of side RP. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
O
Q
21
49
M M
N
13
P
Answer:
Submit Answer

Answers

seems to be that RP=69

Pythagorean Theorem on the Coordinate Plane

Answers

Answer:

O.K.A.Y

Step-by-step explanation:

The volume of a cuboid is 420cm3.

The length is 10cm and the width is 7cm.

Work out the height of the cuboid.

Use the graph below to answer the question Y=-4(1/2)^x+2

Answers

aahwheheehheheheheheheheheheuww

The two rectanglesare similar. Which is a correct proportion between correspoding sides? I need help

Answers

Answer:

c. 12/4 = l/8

please follow me

PLEASE HELP PLEASEEEEE I NEED IT QUICKLYYY

Answers

Answer:

C

Step-by-step explanation:

If you need the explanation tell me

:D

The number of square tiles of side 25cm which can be paved on a rectangular floor of 3m
× 2m is:

Answers

Answer:

96 square tiles can be paved on a rectangular floor.

Step-by-step explanation:

First, we need to find the area of the square tiles:

[tex]A_{t} = (25 cm)^{2} = 625 cm^{2}[/tex]

Now, the area of the rectangular floor is:

[tex] A_{f} = 3m*2m = 6 m^{2}*\frac{(100 cm)^{2}}{1 m^{2}} = 60000 cm^{2} [/tex]

Finally, the number of square tiles which can be paved on a rectangular floor is:

[tex] N = \frac{A_{f}}{A_{t}} = \frac{60000 cm^{2}}{625 cm^{2}} = 96 [/tex]

Therefore, 96 square tiles can be paved on a rectangular floor.

I hope it helps you!  

An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised to improve mathematics skills. The results showed no statistically significant improvement in mathematical skills, using a significance level of 0.05. The program is effective, which of the following would be an appropriate method for increasing power in this context?

a. Increase the sample size to 200 children.
b. Use a two-sided test instead of a one sided test.
c. Decrease the sample size.
d. Use alpha-0.01 instead of a-alpha.
e. Use a one sided test instead of a two-sided test.

Answers

Answer:

b) use a two-sided test instead of a one sided test.

Step-by-step explanation:

If we are using a significance level of 0.05, then the two-tailed test assigns half alpha to test for statistical significance in one direction and half alpha to test statistical significance in the other direction. This implies that .025 is present in each tail of the test statistical distribution. When using the two-tailed test, regardless of the direction of the relationship you assume, we test the possibility of the relationship in both directions.

Please help will give brainliest

Answers

Answer:

25 is the area because5 times 5 equals 25

Step-by-step explanation:

hope this helps

Answer:

25

Step-by-step explanation:

In a code the vowels A-U in alphabetical order are replaced by the numbers 1-5, while the consonants B-Z in alphabetical order are replaced by the numbers 1-21. Thus ‘1 1 1 2’ could stand for either ‘ABAE’ or ‘BABE’. If the five words below are encoded, and the code numbers for the letters in each word are added up, which word has the largest total?
a] MATHS
b] EQUALS
c] ALGEBRA
d] PLUS
e] GEOMETRY

Answers

Answer:

A beacuse why not ya knoe

i will give extra points please help

Answers

Answer:

22

Step-by-step explanation:

tbh I just plugged it in my calculator c:

hope this helped tho!!

it is 22, trust, i’m a math teacher :P

what is the answer of this 10+6=8+​

Answers

Answer:

8

Step-by-step explanation:

I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18

Answer:

8

Step-by-step explanation:

10+6=18; 8+8=16

What is surface area of this? Click image

Answers

Answer:

[tex]\Large \boxed{\sf 384 \ m^2}[/tex]

Step-by-step explanation:

Surface area ⇒ area of 2 triangles + area of 3 rectangles

[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]

The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as much (per unit area) as glass, use Lagrange multipliers to find the dimensions of the aquarium that minimize the cost of the materials. (Enter the dimensions as a comma separated list; Note that the variable volume is a capital V and must be entered as such, using the shift rather than caps-lock key)

Answers

Answer:

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]     [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]       [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

Step-by-step explanation:

Represent the volume of the box with V and the dimensions with l, b and h.

The volume (V) is:

[tex]V = l * b * h[/tex]

Make h the subject of the formula

[tex]h = \frac{V}{lb}[/tex]

The surface area (S) of the aquarium is:

[tex]S = lb + 2(lh + bh)[/tex]

Where lb represents the area of the base (i.e. slate):

The cost (C) of the surface area is:

[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]

[tex]C = 7lb + 2(lh + bh)[/tex]

[tex]C = 7lb + 2h(l + b)[/tex]

Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation

[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]

[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]

[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]

Differentiate with respect to l and with respect to b

[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]

[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]

To solve for b and l, we equate both equations and set l to b (to minimize the cost)

[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]

[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]

By comparison:

[tex]l =b[/tex]

[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes

[tex]7l - \frac{2V}{l^2}=0[/tex]

[tex]7l = \frac{2V}{l^2}[/tex]

Cross Multiply

[tex]7l^3 = 2V[/tex]

Solve for l

[tex]l^3 = \frac{2V}{7}[/tex]

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]

Recall that: [tex]l =b[/tex]

[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]

Also recall that:

[tex]h = \frac{V}{lb}[/tex]

[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]

[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]

Apply law of indices

[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]

[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

The dimension that minimizes the cost of material of the aquarium is:

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]     [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]       [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

In ΔRST, r = 210 cm, s = 500 cm and t=560 cm. Find the measure of ∠T to the nearest 10th of a degree.

Answers

Answer:

95.3

Step-by-step explanation:

11. What geometric shape is a roll of paper towels?
(98)

Answers

Answer:

cylinder

Step-by-step explanation:

Mariko and her friend spent $24.50 on
lunch. Their lunches cost the same amount,
and they used a $4 off coupon. Determine
the cost of each lunch. ​

Answers

The cost: $14.25

Equation: 24.5=2c-4

The cost of each lunch is $10.25.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given;

Mariko and her friend spent $24.50 on lunch.

Their lunches cost the same amount,

and they used a $4 off coupon.

That means,

they spent = 24.5 - 4

= 20.50

And 20.50 divided by 2,

we get,

20.50/2

= 10.25

Therefore, $10.25 is the cost of each lunch.

To learn more about the division;

https://brainly.com/question/13263114

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