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Ket [755]
2 years ago
10

Please help, prove how angle E and angle R are congruent

Mathematics
1 answer:
stepladder [879]2 years ago
6 0

Answer:

.

Step-by-step explanation:

In ΔEMR and ΔNMR

MN ≅ MA              Given

∠EMR ≅∠NMR       Reflexive property

ME ≅ MR                 Given

ΔEMR ≅ ΔNMR       S A S congruent  - side Angle side

∠E ≅ ∠R  Corresponding Part of Congruent Triangles

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Find the ratio a:b, if 2a−b/6 = b/3
Tom [10]

Answer:

a:b = 2

Step-by-step explanation:

Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).

We have:

2a−b/6 = b/3

Lets sum b/6 in both sides:

2a−b/6 + b/6 = b/3 + b/6

2a = b/3 + b/6

Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:

2a = b/3*(2/2) + b/6

2a = 2b/6 + b/6

2a = 3b/6

2a = b/2, as 3/6 = 1/2

Now lets divide both sides by b to make an a/b appear:

2a/b = (b/2)/b

2a/b = 1/2

Finally, multiply both sides by (1/2) or divide by 2:

(2a/b)/2 = 2

a/b = 2

This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.

7 0
3 years ago
I need help with this please help asap
kaheart [24]

Step-by-step explanation:

4^5 (-2)^9/4^8 (-2)^3

= 4^(5 - 8) (-2^(9 - 3))

= 4^-3 (-2^6)

= (-2)^6/4^3

1). (-2)^a/4^b

a = 6, b = 3

2). c/d

c = -2, d = 4

6 0
3 years ago
The measures of two supplementary angles are (2x – 8)° and (3x - 2)°. What is the measure of the
saw5 [17]

Answer:

68°

Step-by-step explanation:

Here,

  • Two supplementary angles are (2x – 8)° and (3x - 2)°.

As we know that the sum of two supplementary angles are 180°. So,

→ (2x – 8)° + (3x – 2)° = 180°

→ 2x° – 8° + 3x° – 2° = 180°

→ 5x° – 10° = 180°

→ 5x° = 180° + 10°

→ 5x° = 190°

→ x = 190° ÷ 5°

→ <u>x</u><u> </u><u>=</u><u> </u><u>3</u><u>8</u><u>°</u>

Supplementary angles are,

  • 1st angle = (2x – 8)°

→ 2(38°) – 8

→ (76 – 8)°

→ 68°

  • 2nd angle = (3x – 2)°

→ 3(38°) – 2

→ (114 – 2)°

→ 112°

Therefore, the measure of the smaller angle is 68°.

4 0
2 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
belka [17]

Answer:

C=5

Step-by-step explanation:

hope this helps

so sorry if this is the wrong answer

plz mark brainliest if correct answer

6 0
2 years ago
Read 2 more answers
What is the value of C-F​
photoshop1234 [79]

Answer:

The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.

4 0
3 years ago
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