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valentinak56 [21]
4 years ago
8

PLEASE HELP! I WILL GIVE BRAINLIEST

Mathematics
2 answers:
larisa86 [58]4 years ago
7 0

Answer:

x=40 degrees

Step-by-step explanation:

there is 180 degrees in half a circle,and 180-100=80

and because there are 2 x values on either side you divide that 80 by 2 which gives you 40.

Nitella [24]4 years ago
6 0

Answer:

x=40

Step-by-step explanation:

The 3 angles are on a straight line, which means they are supplementary. When added together, they must equal 180 degrees.

x+x+100=180

Combine like terms by adding the 2 x's together

2x+100=180

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

First, subtract 100 from both sides, because 100 is being added to 2x. Subtraction is the opposite of addition.

2x+100-100=180-100

2x=180-100

2x=80

Next, divide both sides by 2. x is being multiplied by 2, and division is the opposite of multiplication.

2x/2=80/2

x=80/2

x=40

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4 years ago
Flying against the jetstream, a jet travels 4960 miles in 8 hours. Flying with the jetstream, the same jet travels 2940 miles in
oksian1 [2.3K]

Answer:

Velocity of jet in still air is 800mph hour and velocity of wind is 180mph

Step-by-step explanation:

Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.

#Jet's velocity against jet-stream is:

v_i=\frac{4960}{8}\\\\=620\ mph

#Jet's velocity with jet-stream:

v_{ii}=\frac{2940}{3}\\\\=980\ mph

#The velocity against jet-stream is x-y and with jet-stream is x+y:

x-y=620\\\\x+y=980\\\\\#add \ the \ two \ equations\ to \ eliminate \ y\\\\2x=1600\\\\x=800\\\\y=980-800=180

Hence,velocity of jet in still air is 800 mph hour and velocity of wind is 180 mph.

3 0
3 years ago
Which property is shown by 9 8 = 8 9
vichka [17]
The commutative property


4 0
4 years ago
In triangle $ABC$, the angles $\angle A$, $\angle B$, $\angle C$ form an arithmetic sequence. If $\angle A = 23^\circ$, then wha
LenKa [72]

Answer:

97^0

Step-by-step explanation:

Given that the angles A, B, C in a Triangle form an arithmetic sequence where A=23 degrees.

The nth term of an Arithmetic sequence is given by the formula: T_n=a+(n-1)d

Where:

a=first term

n=number of term

d=common difference

In this case,

Angle \:A, a=23^0

Angle B, T_2=23+(2-1)d=(23+d)^0\\Angle C, T_3=23+(3-1)d=(23+2d)^0

The sum of angles in a triangle is 180 degrees. Therefore:

∠A+∠B+∠C=180 degrees

23^0+(23+d)^0+(23+2d)^0=180\\69^0+3d=180^0\\3d=180^0-69^0\\3d=111^0\\d=37^0

Therefore:

Angle C,

(23+2d)^0=(23+2(37))^0=23+74\\C=97^0

6 0
3 years ago
THE MEASURE OF TWO ADJACENT ANGLES OF THE PARALLELOGRAM ARE IN THE RATIO OF 3:2. FIND THE MEASURE OF EACH OF THE ANGLES OF THE P
BaLLatris [955]

Answer:

The adjacent angles are: 72 and 108

Step-by-step explanation:

Given

Angle Ratio = 3 : 2

Required

Find the measure of each angle

Let the angles be x\ and\ y.

Such that:

x + y = 180 --- adjacent angles of a parallelogram

and

x : y = 3 : 2 --- given

Convert to fraction

\frac{x}{y} = \frac{3}{2}

Cross Multiply:

2x = 3y

Make x the subject:

x = \frac{3}{2}y

x + y = 180 becomes

\frac{3}{2}y + y = 180

Take LCM

\frac{3y + 2y}{2}= 180

\frac{5y}{2}= 180

y = \frac{2}{5} * 180

y = 0.4 * 180

y = 72

Recall that:

x = \frac{3}{2}y

x = \frac{3}{2} * 72

x = 1.5 * 72

x = 108

<em>Hence, the adjacent angles are: 72 and 108</em>

8 0
3 years ago
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