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Anna [14]
3 years ago
11

For what value of x does m 1=90°?

Mathematics
1 answer:
HACTEHA [7]3 years ago
3 0

Answer:

x=70

Step-by-step explanation:

Angle 1 will be 90° when it subtends a 180° arc. That means the sum of 100° and (x+10) must be 180°, so (x+10) = 80°.

We assume this is intended to mean ...

... (x +10)° = 80° . . . . . note the ° symbol added outside parentheses

... x +10 = 80 . . . . . divide by °

... x = 70 . . . . . . . . .subtract 10

_____

If the intent is (x+10°) = 80°, then x=70°.

_____

<em>Comment on the numbers here</em>

Units need to be properly specified in problems of this nature. <em>As written</em>, we probably should assume that 10 is <em>radians</em>, and x is a large negative number, about -8.60374 (radians), or -492.958°.

A number of radians is a "pure number." It has <em>no units</em>. The term "radians" is used to signify that the number is considered to be an angle measure.

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Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue,
Katen [24]

Answer:

14 inch ^2

Step-by-step explanation:

Area of a trapezium= (a+b) 2 times h

so side a= 5 inches

    side b= 9 inches

then times by 2 times the height (2)

you can rearrange the formula to this- a + b/ 2 times height.

5+9/2 times 2= 14

I hope this helps, have a lovely day.

8 0
2 years ago
Give the slope of each of these items
Whitepunk [10]
Where/what slopes are I talking about?
7 0
4 years ago
Which measurement is the width of this rectangle? Area = 112 cm²
nevsk [136]
C. 10 cm
To understand the given problem use the formular of area.

Hence, area is the length and width of the object in unit squared.

Mathematically expressing, a = l x w
Since a = l x w
a = lw unit squared

Given:
Area = 112 cm2

Square root of Area = Square root of 112 cm2
Area = 10.58 cm

Check:
Area = (10.58 cm)^2
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6 0
3 years ago
A total of $4000 is invested: part at 8% and the remainder at 14%. How much is invested at each rate if the annual interest is $
skelet666 [1.2K]

Answer:

$2000 is invested at 8%

$2000 is invested at 14%

Step-by-step explanation:

A total of $4000 is invested part at 8% and the remainder at 14%

Annual interest is $440.

Simple interest formula;

I = P × R × T

Where I is the interest, P is the principal, R is the rate and T is the time.

P = $4000

R = 8% and 14%

T = 1 year

I = $440

Let's say $a is invested at 8% and;

$b is invested at 14%

Then,

($a × \frac{8}{100} × 1 ) + ($b × \frac{14}{100} × 1) = $440

and

$a + $b = $4000

This forms a simultaneous equation;

0.08a + 0.14b = 440 ... (i)

a + b = 4000 ... (ii)

Multiplying (i) by 1 and (ii) by 0.08  we get;

0.08a + 0.14b = 440 ... (i)

0.08a + 0.08b = 320 ... (ii)

Subtracting (i) - (ii) we get;

0 + 0.06b = 120

0.06b = 120

b = 120 ÷ 0.06 = 2000

So amount invested at 14% ($b) = $2000 and,

The amount invested at 8% ($a) = $4000 - $2000 = $2000

7 0
3 years ago
Solve using substitution:<br> 2x - 3y = -1<br> y = x - 1
denis-greek [22]

<em>Answer:</em>

<em>x=4 y=3</em>

<em>Step-by-step explanation:</em>

<em>rewrite the equations- y=x-1 2x-3y=-1</em>

<em>solve y=x-1 for y</em>

<em>y=x-1</em>

<em>sub for x-1 for y in 2x-3y=-1</em>

<em>2x-3y=-1</em>

<em>2x-3(x-1)=-1</em>

<em>-x+3=-1</em>

<em>-x+3+-3=-1+-3</em>

<em>-x=-4</em>

<em>divide both sides by -4</em>

<em>x=4</em>

<em>sub 4 for x in y=x-1</em>

<em>y=x-1</em>

<em>y=4-1</em>

<em>y=3</em>

<em>WE ARE VENOM</em>

8 0
3 years ago
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