Mathematics College


<1 and <2 are complementary. Solve for the measure of <1.

<1 = 12x + 4
<2 = 9x + 2

A. 52
B. 4
C. 38
D. 8.3

&lt;1 And &lt;2 Are Complementary. Solve For The Measure Of &lt;1. &lt;1 = 12x + 4 &lt;2 = 9x + 2A. 52B.

Answers

Answer 1

Answer:

A) 52

Step-by-step explanation:

If < 1 and < 2 are complementary angles, then it means that the sum of their measures add up to 90°.

< 1 + < 2 = 90°

12x + 4 + 9x + 2 = 90°

21x + 6 = 90°

21x + 6 - 6 = 90° - 6

21x = 84°

21x/21 = 84°/21

x = 4

Substitute the value of x = 4 into < 1 and < 2:

m < 1: 12x + 4 = 12(4) + 4 = 52°

m < 2: 9x + 2 = 9(4) + 2 = 38°

Therefore, the correct answer is A) m < 1 = 52°.

Related Questions

find the value of each of the following a) 6+14÷7_2×3 ​

Answers

Answer:

48

Step-by-step explanation:

6 + 14 ÷ 7

= 8

= 8 _ 2× 3

= 8_ 6

=8×6

=48

Find the slope between these two points:
(4,7).(-6, -4)

Answers

Answer:

1.1

Step-by-step explanation:

slope = (-4-7)/(-6-4)= -11/-10 = 1.1

By which rule are these triangles congruent?

Answers

Answer:

S, S, S

Step-by-step explanation:

HELP!! Will give brainliest

Answers

Answer:

my brother said it was  

Step-by-step explanation:

1400.053...

Consider the functions p(x) = 5x3 + 6x2 + 4x and qx) = 5640.
-
1. Use graphing technology to find a value of that makes p(x) = q() true.

Answers

In order to make p(x) = q(x) true, x would have to equal 181.935

Graphing technology used in image below

Q1) Gary has 40 oranges. Gary gives Maya 1/4 of his oranges. Gary also loses 2/5 of the rest of them. How many does Gary have left? ​

Answers

Answer: 3

Step-by-step explanation:

To find what 1/4 of 40 is you divide 40 by 4.
40/4 = 10
So, if he gave away 1/4 of his oranges he now has 30 oranges left

Next, to find 2/5 of 30, divide 30 by 5 and multiply by 2
30/5=6
6•2=12
So, he lost 12 oranges which leaves him with 18.

40-10=30
30-12=18

Gary has 18 oranges left

3/4 x 5/8 in simplest form

Answers

The answer with be 15/32 and decimal form 0.46875

( p + 6 ) + ( 8p + 2 )

Answers

Answer:

9p+8

Step-by-step explanation:

p+8p= 9p

6+2= 8

9p+8

Answer:

Step-by-step explanation:

(p+6) + (8p+2)

(p+8p) + (6+2)

9p + 8

Write an expression for the perimeter of the triangle shown below:
A). 5.5x − 9

B). 5.5x + 9

C). 10x − 39

D). 10x − 9

Answers

Answer:

  Answer B    5.5x + 9

Step-by-step explanation:

Perimeter is the distance around the three sides of the triangle

P = (0.3x + 24) + (5x) + (0.2x - 15)

P = (0.3x + 5x + 0.2x) + (24 - 15)

P = 5.5x + 9

Help with question 13 only please.

Answers

I think it is B

It makes the most sense to me to do that

Find the slope of the line passing through the pair of points. (If an answer does not exist, enter DNE.)
(10, 0), (0, −6)

Answers

Answer:

0.6

Step-by-step explanation:

Lets plug these points in:

[tex]\frac{((-6)-0)}{(0-10)} =\frac{-6}{-10} =0.6[/tex]

Show that (1 + 2V3)2 = 13 +4V3

Answers

Answer is 072 i think

Heyyyyyy help meeeeeeee

Answers

Answer:

1.25 or 1 1/4

Step-by-step explanation:

1 ounce is 0.0625 pounds

therefore 20 oz = 1.25 or 1 1/4

it’s 1.25 pounds. Or 1 3/4 as a mixed number

please just work out the last one. thank you if u can do all

Answers

I made an f in math last year

Answer:

a) 1.8

b) 11.8

c) 23.6

Step-by-step explanation:

1) 2.4+1.6+3.2+0.3+1.5=9

you divide 9 by 5 because that is the number of elements in the data.

9/5=1.8

2) the total would be 50 more because 5*10=50.

50+9=59

59/5=11.8

3) i think this question is referencing the previous question.

59*2=118

118/5=23.6

help please if you can. Thank you

Answers

27/50 is the answer. Why? Because 54 and 100 are both divisible by 2. hope this helps

Answer:

6/11

Step-by-step explanation:

I don't know that's what my mom said

Please explain why 31% is the answer

Answers

9514 1404 393

Answer:

  b)  31%

Step-by-step explanation:

95% of the normal distribution is between Z values of ±1.96.

99% of the normal distribution is between Z values of ±2.576.

The change from a 95% interval to a 99% interval widens the range by ...

  (2.576/1.96 -1) × 100% ≈ 31.4%

The width of the interval increases about 31%.

__

Compare the two attachments. The tail area of 0.05 means the central area is 0.95. Similarly, the tail area of 0.01 means the central area is 0.99.

_____

Additional comment

As always, when you're dealing with percentages, you need to understand what the base value is. Here, when we're talking about 95% and 99% confidence intervals, we're not talking about the numbers 0.95 and 0.99 and the increase from 0.95 to 0.99.

Rather we're talking about areas under the normal probability distribution curve, and the Z-values associated with those intervals. The change in interval width refers to the change in Z-values associated with the areas of 0.95 and 0.99.

Please answer will mark BRAINILEST!!

Answers

Answer:

Coordinates A and B: (1, 0) and (3, 0)

Coordinates of P: (0, 3)

Coordinates of Q: (2, -1)

Step-by-step explanation:

You're pretty much given the x-intercepts from the original equation.

y = (x - 1)(x - 3). So to get the x-intercepts (points A and B), y has to equal 0. So,

0 = (x - 1)(x - 3).

and y = 0 when x equals 1 and 3. Because anything multiplied by 0 equals 0. So substituting 1 for the value of x, for example, we get:

0 = (1 - 1)(1 - 3)

0 = 0 * (-2)

So there are your x-intercepts, points A and B.

Now,

Expand the brackets of the equation.

y = (x - 1)(x - 3) becomes

y = x^2  -  4x  + 3

You get the y-intercept (point P) by substituting 0 for the value of x. Doing so gives:

y = 0^2 - 4*0 + 3

y = 0 - 0 + 3

y = 3

So, we have our y-intercept (0, 3).

Point Q, the x-coordinate of the vertex is calculated with the equation -b/2a

Taking our expanded equation: x^2 - 4x + 3

which is of the form ax^2 + bx + c

So we find the values of a, b and c and input the values into the equation

a = 1

b = -4

c = 3

So, inputting these into the vertex equation, gives:

-(-4) / 2 * 1

4 / 2

2

So we have the x-coordinate of the vertex. Now that we know that, we can just substitute it into the expanded equation to give the y-coordinate:

y = 2^2 - 4*2 + 3

y = 4 - 8 + 3

y = -1

So there's our y-coordinate, and now we have both the x and y coordinate for the vertex, point Q. (2, -1).

what is the present value of $6,000 to be received at the end of 6 years if the discount is 12%

Answers

Future value = FV = $6000

Time period = n = 8

interest rate = r = 12%

Present value (PV) is calculated using the formula:

PV = FV/(1+r)n

Present Value = PV = 6000/(1+12%)8 = 6000/1.128 = 2423.299368

Answer -> 2,423

Answer:

$3,039.79

Step-by-step explanation:

Mike is baking lemon cupcakes and banana cupcakes for his Math class. He conducted a survey to
find the number of students who prefer each type. A total of 10 students preferred lemon cupcakes
and that represents 30% of her class. How many students preferred banana cupcakes?

Answers

Answer:23

Step-by-step explanation:10 people make up 30 percent so we have 33 people . 33 - 10 = 23

hey can u please help i will give brainliy if u get it right :)

Answers

9514 1404 393

Answer:

  400 minutes

Step-by-step explanation:

The cost of the first plan is ...

  A = 14 + 0.15m . . . . . . . . where m is the number of minutes used

The cost of the second plan is ...

  B = 30 + 0.11m

The costs will be equal when ...

  14 +0.15m = 30 +0.11m

  0.04m = 16 . . . . . . . . . . . . . subtract 14+0.11m from both sides

  m = 400 . . . . . . . . . . . . . . . divide by 0.04

The plans will have the same cost for 400 minutes of calls.

The cost c, for manufacturing x flags is given by c=x? -24x +39. Find the number of flags manufactured if the cost is $120.
The number of flags are 0
(Simplify your answer.)

Answers

9514 1404 393

Answer:

  27

Step-by-step explanation:

You want to find x when c = 120.

  120 = x^2 -24x +39

  x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form

  (x -27)(x +3) = 0 . . . . .  .factor it

Solutions are ...

  x = 27, x = -3 . . . . . values of x that make the factors zero

The number of flags manufactured for a cost of $120 is 27 flags.

Hi, this is multiplication with decimals, help!

Answers

Answer:

Sean paid 0.25 more cents than Cal.

Step-by-step explanation:

Cal's problem: 2.4 * 2.55 = 6.12

Sean's problem: 2.6 * 2.45 = 6.37

Answer:

I think 0.25

Step-by-step explanation:

Multipled 2.4 and 2.55 then multipled 2.6 and 2.45. I got 6.12 and 6.37 Then subtracted them and got 0.25

Có 2 chuông gà: chuồng 1 có 5 trống 10 mái ,chuồng 2 có 6 trống 14 mái. Có 1 con ở chuồng 2 nhảy sang chuồng 1 . từ chuồng 1 bắt ngẫu nhiên ra 2 con. Tính xác suất bắt được
a . 2 con trống

Answers

I need English to answer

ABC has side lengths 5 inches, 7 inches, and 10 inches.
JKL has side lengths 12
inches, 35 inches, and 37 inches. PQR has side lengths 13 inches, 10 inches, and 16
inches.

Answers

Answer: Obtuse, Right, Acute

Step-by-step explanation:

ABC: 5²+ 7² = 10²

25 + 49 = 100

c is greater so it is obtuse.

JKL: 12² + 35² = 37²

144 + 1225 = 1369

1369 = 1369

legs are equal to c so it is right.

PQR: 13² + 10² = 16²

169 + 100 + 256

269 = 256

c is less so it is acute.

Two trains leave stations 420 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Answers

Answer:

2hr 48 minutes

Step-by-step explanation:

65t + 85t = 420

150t = 420

t = 2 120/150 = 2 4/5 = 2hr 48 minutes

Time taken by two trains to cover 420 miles is 2hr 48 minutes.

Given, that two trains are travelling towards each other.

Relation between speed, time and distance:

Distance = Speed × Time

When the two trains are travelling towards each other the speeds of two trains are added.

When the two trains are moving in same direction then the relative speed is difference of the two.

So, here the trains are moving towards each other.

65t + 85t = 420

150t = 420

t = 420/150

t = 42/15

t = 2hr 48 minutes

Therefore total time required by two trains to meet is  2hr 48 minutes.

Know more about speed, time and distance,

https://brainly.com/question/31756299

#SPJ3

Maths Question - Topic Pythagoras

Please answer the question. Awarding 20 points

Answers

So for this you use a formula which is

a2 + b2 = c2

You name the highest one c, the rest are you choice

so now it will be - x2 + 7 2 = 14 2

you now square them,

now they will be x2 + 49 = 196

now it will be easy to solve it.

1/5×8 simplified =?!?!
​

Answers

your answer is 8/5 as an improper fraction simplified

Answer:

the answer is 1.6

Step-by-step explanation:

How do I solve 0.0055 m a cm ?

Answers

Answer:

863.83

Step-by-step explanation:

es por qué es un número multimedios y los los número se asen pares

dl

Click on the greatest amount of rainfall.

Answers

Answer:

Click on the 2

Step-by-step explanation:

Someone please please help!

Answers

Answer:

C.

Step-by-step explanation:

After the given, you need another pair of congruent angles to prove the triangles congruent by AAS. Those angles you need are vertical angles, so they are congruent.

Answer: C.

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