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1 year ago

Find the measures of angles of triangle DEF

Mathematics

2 answers:

Alchen [17]1 year ago

8 0

Answer:

<h3>Angle E = 90° </h3><h3>Angle D= 55° </h3><h3>Angle F = 35° </h3>

Sum of all the angles of a triangle = 180° ( angle sum property).

Angle D + Angle E + Angle F = 180°

8x - 1 + 5x + 90° = 180°

8x + 5x + 89 = 180

13x = 180 - 89

13x = 91

x = 7.

Angle D = 8x - 1

= 8(7)-1

= 56 - 1

= 55

Angle E = 90° ( given)

Angle F = 5x

= 5 * 7

= 35

GREYUIT [131]1 year ago

5 0

Answer:

m∠E: 90°

m∠D: 55°

m∠F: 35°

Step-by-step explanation:

Since the interior angles of a right triangle sum up to 180°, the sum of angles D, E, F will equal 180°. We can then form an equation from that information.

$90+(8x-1)+5x=180\\13x-1=90\\13x=91\\x=7$

From this, we can plug in the variable.

$mE=90\\mD=55\\mF=35$

You might be interested in

John rolls a six-sided number cube twice. What is the probability of getting an even number and then an odd number?

lubasha [3.4K]

Answer:

Option 2 - $\text{Probability}=\frac{1}{4}$

Step-by-step explanation:

Given : John rolls a six-sided number cube twice.

To find : What is the probability of getting an even number and then an odd number?

Solution :

When rolls a six-sided number cube twice

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

Favorable outcome of getting an even number and then an odd number:

(2,1) (2,3) (2,5) (4,1) (4,3) (4,5) (6,1) (6,3) (6,5)

So, Favorable outcome = 9

Total number of outcome = 36

$\text{Probability}=\frac{9}{36}$

$\text{Probability}=\frac{1}{4}$

Therefore, Option 2 is correct.

4 0

3 years ago

The word at the end says equation

Xelga [282]

Answer:

V=9

Step-by-step explanation:

9 times 3 equals 27 and that's how I got 9

4 0

2 years ago

Sarah is allowed to watch no more than 10 hours of television each week. Sarah has already watched 6 hours of television. Define

sashaice [31]

Answer:

Inequality = 6 + x ≤ 10

x(Number of hours more of television Sarah can still watch this week) = 4 hours

Step-by-step explanation:

Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.

We are told in the question that:

Sarah is allowed to watch no more than 10 hours of television each week.

This means :

Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.

Hence:

The number of hours left that Sarah can watch television in a week is represented as x

Our Inequality Equation =

6hours + x hours ≤ 10 hours

6 + x ≤ 10

Solving the inequality

x ≤ 10 - 6

x ≤ 4 hours

This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week

7 0

2 years ago

Helpppppppppppppo anyone

Alenkasestr [34]

Answer: 50653

37³ = (40 - 3)³ = 40³ - 3.40².3 + 3.40.3² - 3³

= 64000 - 14400 + 1080 - 27

= 50653

Step-by-step explanation:

3 0

2 years ago

The measure of an angle is five times the measure of its complementary angle. What is the measure of each angle?

GalinKa [24]

Answer:

150 degrees

Step-by-step explanation:

Let the supplement = x
So the angle you want is 5x
Then [x + 5x] = 180 because they are supplementary.
Solving. 6x = 180. Then x = 30.
So the angle is 5x = 5×30 = 150 degrees

3 0

2 years ago