What is the measure of DEF

What Is The Measure Of DEF

Answers

Answer 1

Answer:

105°

Solution,

[tex]let \: < def \: be \: x \\ x + 28 + 47 = 180 \\ or \: x + 75 = 180 \\ or \: x = 180 - 75 \\ x = 105 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer 2

The total angle of a triangle is 180°. Using this we can find the angle DEF(x).

180=28+47+x

180=75+x

180-75=x

105=x

SO angle DEF=105°

Hope it helps!!


Related Questions

salim had 24 homework problems he completed 12 problems during lunch then he completed 7 more after school ​

Answers

Answer:

So how many he has left to do???

I think Salim has to finish 5 more problems

Step-by-step explanation:

If f(x) = - x2 + 6x - 1 and g(x) = 3x2 - 4x - 1, find (f- g)(x).

Answers

Answer:

Step-by-step explanation:

- 4x² + 10x

Answer:

[tex]\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}[/tex]

Step-by-step explanation:

Given:

[tex]f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\[/tex]

Solve for:

[tex](f - g)(x)[/tex]

Solution:

Perform the subtraction:

[tex](f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)[/tex]

Eliminate the parenthesis (notice the change in sign of some components):

[tex](f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1[/tex]

Rearrange the expression:

[tex](f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)[/tex]

Simplify the expression:

[tex](f - g)(x) = -4x^{2} + 10x[/tex]

Perform the inverse of associative property:

[tex](f - g)(x) = -2x(2x - 5)[/tex]

Hope this helps!

:)

Solve for k. a/b=b/a+1/k

Answers

Answer:

k = ab/ ( a^2 - b^2)

Step-by-step explanation:

a/b=b/a+1/k

Multiply each side by abk to get rid of the fractions

abk *a/b=abk(b/a+1/k)

a^2k = b^2k + ab

Subtract b^2k from each side

a^2k - b^2k = b^2k - b^2k + ab

a^2 k - b^2 k = ab

Factor out k

k( a^2 - b^2) = ab

Divide each side by ( a^2 - b^2)

k( a^2 - b^2)/  ( a^2 - b^2) = ab/ ( a^2 - b^2)

k = ab/ ( a^2 - b^2)

Answer: K= ab/(a+b)(a-b)

Solve the equation.

y + 6 = –3y + 26

Answers

Answer: y=5

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

y+6=-3y+26

Taking like terms to both side, y+3y=26-6

4y=20(Dividing both sides by 4)

y=5

Find n so that (4/5)^3 × (4/5)^-6 = (4/5)^2n-1

Answers

Answer:

n= 4725 /1024

Step-by-step explanation:

Describe the relationship between the area of a circle and its circumference.
The is times the times the circumference.

Answers

Answer:

The area is twice the circumference

Area = 2 * circumference

Step-by-step explanation:

Proof:

r = 2

Circumference = 2[tex]\pi[/tex]r

Circumference = 12.566

Area = [tex]\pi[/tex]r^2

Area = 25.132

25.132/12.566 ≈ 2

Answer:

the (area) is (1/2) times the (radius) times the circumference.

Step-by-step explanation:

i dont know how to explain it exactly but i found the cerect answer.

A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2:3. The ratio of blueberry to cinnamon muffins sold was 4:1. If 60 blueberry muffins were sold on Monday, how many more cranberry muffins than cinnamon muffins did the bakery sell?

Answers

Answer:

total cinnamon sold = 15

total cranberry sold = 40

so, according to the question

cranberry - cinnamon muffin

40-15

25

Hence, 25 cranberry muffins were sold more than cinnamon muffins.

The bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.

What is an expression?

An expression is a mathematical phrase that can contain variables, constants, and mathematical operations, but does not have an equals sign. Expressions are used to represent mathematical relationships and to evaluate numerical values.

Let's start by using the given ratios to determine the number of cranberry and cinnamon muffins sold on Monday.

We know that the ratio of cranberry to blueberry muffins sold was 2:3, which means that for every 2 cranberry muffins sold, 3 blueberry muffins were sold. We also know that the ratio of blueberry to cinnamon muffins sold was 4:1, which means that for every 4 blueberry muffins sold, 1 cinnamon muffin was sold.

Since we know that 60 blueberry muffins were sold on Monday, we can use the ratio of cranberry to blueberry muffins sold to find the number of cranberry muffins sold:

2/3 = x/60

Where x is the number of cranberry muffins sold.

Multiplying both sides of the equation by 60, we get:

2/3 * 60 = x

Simplifying, we get:

x = 40

So, 40 cranberry muffins were sold on Monday.

Now, using the ratio of blueberry to cinnamon muffins sold, we can find the number of cinnamon muffins sold:

4/1 = 60/y

Where y is the number of cinnamon muffins sold.

Multiplying both sides of the equation by y, we get:

4y = 60

Dividing both sides of the equation by 4, we get:

y = 15

So, 15 cinnamon muffins were sold on Monday.

Finally, to answer the question, we need to find the difference between the number of cranberry muffins sold and the number of cinnamon muffins sold:

40 - 15 = 25

Therefore, the bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.

To know more about an expression follow

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Which is the focus of a parabola with equation y2 = 4x?
0 (-1,0)
0 (0, -1)
0 (0, 1)
(1, 0)​

Answers

Answer:

(1, 0)

Step-by-step explanation:

Please write this as y^2 = 4x; the " ^ " indicates exponentiation.

The appropriate equation for a horizontal parabola that opens to the right is

y^2 = 4px

Here, we are told that  y^2 = 4x; this tells us that 4p = 4, and so p = 1.  

Again, this parabola is a horizontal one and it opens to the right.  p = 1 is the distance of the focus from the vertex, and in this case p = 1.  Thus, the focus is at (1, 0) (situated on the x-axis).

Answer:

(1,0) 2022

Step-by-step explanation:

stop playing wit me

How do I solve this problem??

Answers

Answer:

3/10 m^2

Step-by-step explanation:

To calculate area of a triangle we multiply height with base and then divide that by 2

2/5 × 3/2 ÷ 2 = 3/10

Solve the proportion 4/x=8/(x-3)

Answers

Answer:

x=-3

Step-by-step explanation:

4/x=8/(x-3)

We can solve this using cross products

4 ( x-3) = 8x

Distribute

4x -12 = 8x

Subtract 4x from each side

4x-4x-12 = 8x-12-4x

-12 =4x

Divide each side by 4

-12/4 = 4x/4

-3 =x

Answer:

X=-3

Step-by-step explanation:

Solve it like any other two step equation.

But first we have to have x on its own to get what the x value is

PLEASE HELP WILL MARK BRAINLIEST




find the value of x

Answers

I think,

the value of x is 90°

X= 50°

The sum of 3 angles in a triangle will always equal 180 degrees. So to find x in this problem you can do 180 - 82 - 48 = 50°

Use the Factor Theorem to examine the polynomial p(x)=6x4+x3−45x2+26x+24. Which binomial is a factor of p(x)?
2x+3
(3x-2)
(2x-1)
(3x−4)

Answers

Answer:

(D) 3x−4

Step-by-step explanation:

Factor Theorem

Given a polynomial P(x) and a linear function x-a, If P(a)=0, then the linear function x-a is a factor of P(a).

In Option A:

[tex]L$inear Function =2x+3\\Set 2x+3=0$\\x=-\frac{3}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(-\frac{3}{2})=6(-\frac{3}{2})^4+(-\frac{3}{2})^3-45(-\frac{3}{2})^2+26(-\frac{3}{2})+24\\\\p(-\frac{3}{2})=-89.25[/tex]

In Option B

[tex]L$inear Function =3x-2\\Set 3x-2=0$\\x=\frac{2}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{2}{3})=6(\frac{2}{3})^4+(\frac{2}{3})^3-45(\frac{2}{3})^2+26(\frac{2}{3})+24\\\\p(\frac{2}{3})=22.8[/tex]

In Option C

[tex]L$inear Function =2x-1\\Set 2x-1=0$\\x=\frac{1}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{1}{2} )=6(\frac{1}{2} )^4+(\frac{1}{2} )^3-45(\frac{1}{2} )^2+26(\frac{1}{2} )+24\\\\p(\frac{1}{2} )=26.25[/tex]

In Option D

[tex]L$inear Function =3x-4\\Set 3x-4=0$\\x=\frac{4}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{4}{3} )=6(\frac{4}{3})^4+(\frac{4}{3} )^3-45(\frac{4}{3} )^2+26(\frac{4}{3})+24\\\\p(\frac{4}{3} )=0[/tex]

We can see that only Option D: 3x−4 gives a result of 0. Therefore, by the factor theorem, it is a factor of the polynomial.

if MNL is congruent to TUS, then NL is congruent to ?​

Answers

Answer:

NL is congruent to US.

Answer:

d. NL ≅US

Step-by-step explanation:

ΔMNL ≅ ΔTUS

follow the order in ≅ statement meaning that MN ≅ TU,NL ≅US, ML ≅ TS

Find x. 4 square root 3 2 square root 3 8 8 square root 3

Answers

Answer:

8

Step-by-step explanation:

[tex]sin \: \alpha = \frac{opp}{hyp} \\ sin \: 30 = \frac{4}{x} \\ \frac{1}{2} = \frac{4}{x} \\[/tex]

[tex] x = 4 \times 2 \\ x = 8[/tex]

Find the surface area of the polyhedra
pls!! show how you got the surface area ​​

Answers

Answer:

The surface area of the lower rectangle is 20cm x 4cm= 80 square cm

the surface area of the two triangles is 12 square centimetres

the surface area of one of the top rectangular faces is 20×5= 100 square centimetres

the surface area of the other is 20×3= 60 square centimetres

80+12+60+100=252 square centimetres is the surface area of the polyhydron

Help please
What are the coordinates of the hole in the graph of the function?

f(x)=x2−3x−10/x−5
Enter your answer in the boxes.

Answers

Answer:

  (5, 7)

Step-by-step explanation:

A hole is found in the graph of a rational function where numerator and denominator factors cancel each other.

The x-coordinate of the hole is the value of x that makes the factor zero. The y-coordinate of the hole is the value of the simplified function after the cancelled factors are removed. It is the limit of the function value as x approaches the hole location.

__

  [tex]f(x)=\dfrac{x^2-3x-10}{x-5}=\dfrac{(x+2)(x-5)}{x-5}=x+2\qquad x\ne 5[/tex]

The hole is found at x = 5. The limit of the function value as x approaches 5 is 5+2 = 7. The coordinates of the hole are (5, 7).

2
Ali's mass is 46.2 kg
Raj's mass is 35.6 kg
What is their total mass?​

Answers

Answer:

81.8 kg

Step-by-step explanation:

To find the total mass you have to add both of their mass

46.2 kg+35.6 kg= 81.8 kg

Their total mass is 81.8 kg #

4. A school has 100 windows. On a cool day 95 of the windows were closed. Which decimal represents the amount of windows that were OPEN?

Answers

.05 or 5%. 5/100 windows were open. You put a zero before the five in decimal form to show it is in the hundredths place.

Answer:

0.05

Step-by-step explanation:

100 windows is 1.00

95 windows is 0.95

5 = 0.05

which of the following is equivalent to the radical expression below √8x^5

Answers

The correct answer is D you get it right;)

Which trinomial did she factor?
x2 + 4x – 12
x2 + 2x - 6
x2 - 8x - 6
x2 - 4x - 12

Answers

Answer:

Answer is (D)    x2 – 4x – 12

Step-by-step explanation:

edge 2020 test

Rain and Hantavirus in Mice Hantavirus is carried by wild rodents and causes severe lung disease in humans. A recent study1 on the California Channel Islands found that increased prevalence of the virus was linked with greater precipitation. The study adds "Precipitation accounted for of the variation in prevalence."

Answers

Answer:

The overview of the given situation is described in the explanation segment below.

Step-by-step explanation:

By the details received, the reference variable becomes actual prevalence or occurrence of another virus whereas the descriptive variable becomes precipitation 'Precipitation compensated for 79% throughout variability with prevalence.'

As we know that the determination's coefficient will be:

⇒  [tex]R^2[/tex]

(Percent of variance in the answer variable described by the explanatory variable).

Now the correlation among the two variables will be:

As we know,

⇒  [tex]r^2=R^2[/tex]

⇒  [tex]r^2=0.79[/tex]

⇒  [tex]r=\sqrt{0.79}[/tex]

⇒  [tex]r=0.889[/tex]

The percentage value of 79% given in the context is the percentage of variation in the prevalence of Hantavirus which can be explained by precipitation. Hence, the coefficient of determination, .

The Coefficient of determination is a metric used in modeling to show how the proportion of the change in the dependent variable which is due to the independent variable.

The Coefficient of determination, ranges between 0 and 1 with 1 meaning 100%.

Hence, the metric shows that 79% of changes in prevalence is caused by the regression line, hence the value.

Learn more :https://brainly.com/question/18405415

I will give you brainliest!!!!! Use the substitution method to solve for the system of equations. x+2y=6 y=x-3

Answers

Answer:x=4 y =1

Step-by-step explanation:

your welcome

Answer:

x = 4, y = 1

Step-by-step explanation:

Substitute the y in the first equation for x-3

X + 2(x-3) = 6

3x -6 = 6

3x = 12

x = 4

Plugging 4 into the second equation

y = 4-3

y = 1

Hey, can you please help me out?

Very appreciate

Verified and certified by me

Answers

Answer:

d

Step-by-step explanation:

first two are to measure mass not area and third is too large of a measurement for a beach towel. Hope it helps!

Hey so im really confused on how to rewrite problems into radical form, so I was wondering if anyone would be able to show me how to do It step by step?

Answers

Answer:

Step-by-step explanation:

Ok so, I'll try to make this explanation super simple for you.

The denominator will always go on the outside and the numerator will be on the inside. Let me give you an example.

Take x^2/3. The answer will be 3√(x^2). Do you see how the 3 is on the outside and the 2 is on the outside?

Take p^4/5. The answer will be 5√(p^4).

I hope this gives you a clear understanding.

Two lions, Fluffy and Fireball, met at the zoo. Fluffy's tail is 1 1/3 of a meter long. Fireball's tail is 1 1/4 of a meter long. How much longer is Fluffy's tail than Fireball's tail?

Answers

Answer:

11 / 12 m

Step-by-step explanation:

11/3 - 11/4

LCM= 4*3=12

11/3 * 4/4 = 44/12

11/4 * 3/3 = 33/12

11/3 - 11/4

44/12-33/12= 11/12

Answer:

1/12

Step-by-step explanation:

First, simply convert the fractions into an improper fraction.

1 1/3= 4/3

1 1/4= 5/4

Then make conevrt it so the denominator  is the same. In this case, the denominatorwould be 12.

4/3= 16/12

5/4=  15/12

Finally subtract regularly.

16/12-15/12= 1/12

Identify the method that will be used in solving for x.

5 + x = 3/4

A.) distributive property
B.) multiplication property of equality
C.) division property of equality
D.) subtraction property of equality

Answers

C. Division property of equality

Answer:D subtraction property of equality

Step-by-step explanation:

Suppose p and q are inversely proportional. If p=25 when q=6, find the value of p when q=15 Please help me!!!

Answers

Answer:

p=10 when q=15

Step-by-step explanation:

p and q are inversely proportional

It means

p=k/q

p=25 when q=6

p=k/q

25=k/6

k=25÷1/6

k=25×6/1

=150

k=150

Find p when q=15

p=k/q

p=150/15

=10

p=10

between any two rational numbers there is ?

Answers

Answer:

Step-by-step explanation:

There are infinitely many rational numbers between any two rational numbers.

A standard fair dice is rolled twice. What is the probability of getting an even number on the first roll and any number except 5 on the other?

Answers

Answer:

Step-by-step:

Well, the probability for getting an even number on the first roll is 1/2

The probability for getting not 5 would be 5/6

You can make a tree diagram.

      1                     2                   3                    4                5                    6

1  2 3 4 5 6   1 2 3 4 5 6   1 2 3 4 5 6   1 2 3 4 5 6     1 2 3 4 5 6      1 2 3 4 5 6

The numbers on the top represent the first roll. The numbers on the bottom represent the second roll. The first roll should be an even number, so we know that we should be looking at the even numbers. The second one should be anything but 5. So, what I did was look at the numbers that weren't 5. Look at the diagram with the even number at the top. then, look at the numbers that aren't 5 below. Since there are 5 numbers that aren't 5, and 3 even numbers, multiply 3 x 5 and you'll have 15. So add all the numbers at the bottom and that would be 36, so it's 15/36.

Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x-3
5 < 10x - 3
2 - 2x < 8x

Answers

Answer:

5 < 10x-3

Step-by-step explanation:

5 - 2x < 8x - 3

Add 2x to each side

5 - 2x+2x < 8x - 3+2x

5 < 10x-3

Answer:

The answer is C.

Step-by-step explanation:

Trust me, I got you.

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