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Solnce55 [7]
3 years ago
6

Help with this problem. thanks.

Mathematics
1 answer:
Inga [223]3 years ago
5 0

The correct answer is: Option (B) m∠a = 38°, m∠b = 52°, m∠c = 90°

Explanation:

Given measure of each angle:

m∠a = (48-x)°

m∠b = (9x-38)°

m∠c = 90°

Now, as you can see, that one angle, m∠C, of the triangle ABC is 90°; therefore, we can infer that it is a right-angled triangle.

For right-angled triangle, the sum of all the angles is 180°. We can write it mathematically as:

m∠a + m∠b + m∠c = 180° --- (1)

Plug in all the measure of angles in equation (1):

(1)=> (48-x)° + (9x-38)° + 90° = 180°

Solve to find the value of x:

8x + 100° = 180°

8x = 80°

x = 10°

Now put the value of x in all individual angles to find m∠a, m∠b, and m∠c.

m∠a = (48-10)° = 38°

m∠b = (9*10-38)° = 52°

m∠c = 90°

Hence the correct answer is Option (B).

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Answer:

4/9 probability you will get an even number

Step-by-step explanation:

The theoretical probability of spinning an even number is 4/9, since there are 4 even numbers in the spinner

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Answer both questions please, help me this hard, help me anyone????????
ivanzaharov [21]
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Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?
alexgriva [62]

Answer:

1,680\ g

Step-by-step explanation:

we know that

Brenda requires 480 grams of couscous for 4 people

so

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4 0
3 years ago
A student raises her grade average from a 75 to a 90. what was the percent of increase in the student's grade average? round you
Leona [35]
Here are some formulas...
percent increase = (new number - original number) / original number...* 100
percent decrease = (original number - new number) / original number...* 100
============
a student raises her grade from a 75 to a 90....since it is going from a smaller number to a larger number, u have an increase
percent increase = (90 - 75) / 70....* 100
                           =   15/70   * 100
                           = 0.2142 * 100
                           = 21.42 rounds to 21.4%  increase
-------------------------
36.50 on sale for 32.12...since it goes from a larger number to a smaller number, u have a decrease
percent decrease = (original number - new number) / original * 100
                             = (36.50 - 32.12) / 32.12...* 100
                             = 4.38 / 32.12...* 100
                             = 0.1363...* 100
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------------------------------
23.5 to 21.2......this is a decrease
percent decrease = (original number - new number) / original...* 100
                            = (23.5 - 21.2) / 23.5....* 100
                            = 2.3 / 23.5....* 100
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3 0
3 years ago
Read 2 more answers
Need help on all these questions!!
Yuki888 [10]

Okay, so YZ = 3 cm.  You have XM correct. And YM = 0.5.

Now, you have the midpoint M at the correct spot.

Use Pythagorean's theorem o find the length of AB.  a² + b² = c²   a=6,  b=8.

6² = 36   8² = 64    36 + 64 = 100      AB = 10!

If AB = 10   then AM = 5    MB also = 5

If B is the midpoint of AC,  C would be 12 rows down from A, and 16 columns to the right. The last spot where the line intersects.

There are your answers!

5 0
2 years ago
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