Mathematics High School

In DEF the measure of D is equal to 5 degrees more than the measure of E. The sum of the measures of D and E is 10 degrees more than the measure of F. Find the measure of each angle.

Answers

Answer 1

Answer: Measure of angle E = 45°

Measure of angle D = 45°+5° = 50°

Measure of angle F =  85°

Step-by-step explanation:

Let the measure of angle E be x.  ( in degrees)

Then Measure of angle D = x+5

Also, Angle D + Angle E = Angle F +10

[tex]\Rightarrow\ x+5+x =\text{Angle F}+10\\\\\Rightarrow\ \text{Angle F} = 2x+5-10\\\\\Rightarrow\ \text{Angle F} = 2x-5[/tex]

Since DEF is a triangle, so the sum of their angles should equal to 180 degrees.

[tex]\Rightarrow\ x+x+5+2x-5=180\\\\\Rightarrow\ 4x=180\\\\\Rightarrow\ x=45[/tex]

Measure of angle E = 45°

Measure of angle D = 45°+5° = 50°

Measure of angle F = (2(45)-5)° = (90-5)° = 85°

Related Questions

On the scale drawing of Cold Lake Camp, the mess hall is 5 cm from the lodge. The scale for the map is 2 cm = 100 m.
Find the actual distance to the lodge.

Answers

Answer:

The answer is 250 meters from the lodge

Solve : 24 = 6 - 6 = 2 + (
3 x 7)

Answers

Answer:

3.5

Step-by-step explanation:

24=0=2×3×2×7

24=6×14=0

24=84 =0

24÷84=3.5

What is the value of x in the equation 5 x + 3 = 4 x? –3 Negative one-third One-third 3

Answers

Answer:

?

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

5 x + 3 = 4 x

5x+3-3=4x-3

5x=4x-3

subtract four from both sides=x=-3

x=-3 is your final answer!

Find the slope of (-1,3) and (2,5)

Answers

Answer:

slope should be 3

Step-by-step explanation:

i used my calculator

What fraction is 20 min of 3 hours? Answer in simplest form

Answers

Answer:

1/9

Step-by-step explanation:

what is p in this situation? if u answer correct ill mark you brainliest.

Answers

The answer is p = - 1/12
It’s a fraction btw with a negative in front of it .

Find the slope of the line that passes through (7, 13) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer,

Answers

Answer:

-3/2

Step-by-step explanation:

Visualize it or write it out.

Ben drink tea ant an incredible rate

Answers

Answer:

??????????????

Step-by-step explanation:

I am not getting the question

2. How much interest is earned on a principal of $200 invested at an interest rate of 9% for eight
years?
Answer:

Answers

Answer: 177

Step-by-step explanation:

The value of x square +y square when x =-3and y =4 is

Answers

Blackblackbalckcdgdbdndbdhrhrhhrrh

whats the slope to this ​

Answers

Answer:

-14/15

Step-by-step explanation:

y^2 - y^1
-11-0/-15-3
-11/-18

Select all of the statements that can be determined from the table given

Answers

Answer:

B and D since the table tells that the answers B and D are correct

Answer:

B. There is a y-intercept at (0,-2)

Step-by-step explanation:

I did what the other answer said, but apparently the only right answer in your case is B.

What is the discriminant of the quadratic equation, 4x^2-8x-5=0​

Answers

Answer:

Step-by-step explanation:

4x^2-8x-5=0

The discriminant is the number under the √. In this case it's 144

Answer:

[tex]\Delta=144[/tex]

Step-by-step explanation:

For a quadratic in standard form, the discriminant is given by:

[tex]\Delta=b^2-4ac[/tex]

We have the equation:

[tex]4x^2-8x-5=0[/tex]

Hence, our a=4; b=-8; and c=-5.

Substituting into our formula, we acquire:

[tex]\Delta=(-8)^2-4(4)(-5)[/tex]

Evaluate:

[tex]\Delta=64+80[/tex]

Add:

[tex]\Delta=144[/tex]

Therefore, our discriminant is 144.

Notes:

Since our discriminant is a positive value, this tells us that our quadratic has two real roots.

Select all that apply.
Which of the following are equivalent ratios?
10/15
12/16
8/12
14/21

Answers

Answer:

10/15 8/12 14/21

Step-by-step explanation:

10/15 8/12 and 14/21

3. Jonas is riding his bicycle at 18 kilometers per hour, and he has already ridden for 40 kilometers. (6, 148)​

Answers

i assume it asking how long Jonas has been riding so
time = distance / speed
= 40 / 18
= 2.22 hours

What is the slope of y= -5 + 4x

Answers

Answer:

4

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

find the nth term of this quadratic sequence

2,8,18,32,50

Answers

The first term, n = 1 = 2*1*1 = 2

Second term, n =2, = 2*2*2 = 8

Third, n =3, = 2*3*3 = 18

Third term, n = 4, = 2*4*4 = 32

Fourth term, n =5, 2 * 5* 5 = 50

For nth term, 2 *n *n = 2n²

Therefore nth term = 2n²

I hope this helps.

What is the value of the expression 4/7 ÷ 12/21

Answers

Your answer is 1
:::::::::

Answer:

Step-by-step explanation:

​ [(24÷12)⋅6]+3⋅8÷2 ​

2.Evaluate the expression.

​ (26÷13)⋅(−7)+14−4 ​

3.Simplify this expression.

9 + 3 × 2

15

21

24

48

4.What is the value of this expression?

6⋅[(32−8)÷4+2]

5.Simplify.

6y+5z+8y−3z

11y + 5z

14y +2z

14y + 8z

16yz

does this help

The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 2005. Which linear equation, in slope-intercept form, represents the population, y, at a year since 2005, x, where y is in thousands.

Answers

Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400


What is the value of X?

Answers

X=87
All angles in a triangle add up to 180
51+42=93
180-93=87

Answer:

I THINK ITS 61

Step-by-step explanation:

Please Help! need a step by step answer will give brainly

Answers

Answer:

If I know I will defiantly answer .but where is the question

In the figure below, Angles 1 and 2 are congruent.


If m Z1 = 70°, what is the sum of Angles 3 and 4?
O A. 150°
O B. 140°
O C. 110°
оD 180°

Answers

The answer is A. 150

fill in the table so it represents a linear function​

Answers

Uhh, -4 , -6 , -8 im pretty sure.

can sumone do this plzz

Answers

Answer:

1. [tex]\frac{x}{15}[/tex] = 0.85

2. x = 12.75

Step-by-step explanation:

First, we do 12 divided by 15, which is 0.80 (80%). The question is asking how much consecutive free throws is needed to raise it to 85%.

So, and equation we make is:

[tex]\frac{x}{15}[/tex] = 0.85, where x represents the number of free throws.

Now, we solve.

Multiply each side by 15 to solve for x.

x = 12.75

12.75 consecutive free throws is needed to raise the percent to 85%.

I NEED HELPP

Evalute if x=6, y=8, and z=3

yz - x

Answers

Answer:

18 and 10.

Step-by-step explanation:

yz - x

= 8*3 - 6

= 24 - 6

= 18

2(x + z) - y

= 2(6 + 3) - 8

= 2 * 9 - 8

= 18 - 8

= 10

A rocket is 1.5miles above the earth in 20 seconds and is 8 miles above the earth in 2 minutes. What is the rockets rate of change in miles per seconds

Answers

Given:

A rocket is 1.5 miles above the earth in 20 seconds.

It is 8 miles above the earth in 2 minutes.

To find:

The rockets rate of change in miles per seconds.

Solution:

Let y be the height above the earth after x seconds.

A rocket is 1.5 miles above the earth in 20 seconds. So, the point is (20,1.5).

It is 8 miles above the earth in 2 minutes.

1 minute = 60 seconds

2 minutes = 120 seconds

So, the point is (120,8).

The rockets rate of change in miles per seconds is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{8-1.5}{120-20}[/tex]

[tex]m=\dfrac{6.5}{100}[/tex]

[tex]m=0.065[/tex]

Therefore, the rockets rate of change is 0.065 miles per seconds .

Please help

Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answers

The answer is none I’m pretty sure

ITS MORE THAN ONE QUESTION PLEASE HELP 50 POINTS ITS URGENT

Answers

Answer:

what is the question?...

item
A sloppy joe restaurant gave 10 napkins for
every 7 items ordered. If someone bought 49
items, how many napkins should they get?
napkins

Answers

Answer: 70

Step-by-step explanation: 49 / 7 is 7 so 7 x 10 is 70

HELP RIGHT AWAY
WILL MARK DOWN BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Equation for a line is y = mx + b where m is the slope and b is the y intercept.

First, we see that the y intercept is 60.

Second, we see that for every 10 units y decreases, x increases by 5. This gives us a slope of -2 because (-10/5)=-2

If we plug our values into the equation of a line we get

y=-2x+60

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