Answer:
118•
Step-by-step explanation:
The interior side lengths are:
90
180-34
180-x
180-x
The sum of these are 360º
90 + 180-34 + 180-x + 180-x = 360
-2x = -236
x = 118º
The dropdown numbers is an illustration of combination
The smallest dropdown number is 1025
<h3>How to determine the smallest dropdown number?</h3>
From the question, we have the following parameters:
- The dropdown number is 4-digit
- The digits are different.
We start counting from 1023, 1024, 1025, 1026...........
- The sum of digits in 1023 is 6, and the average is 1.5
- The sum of digits in 1024 is 7, and the average is 1.75
- The sum of digits in 1025 is 8, and the average is 2
The number 1025 satisfies the given conditions
Hence, the smallest dropdown number is 1025
Read more about combination at:
brainly.com/question/11732255
Answer:
$130.06
Step-by-step explanation:
Interest is calculated as shown;
I = A - P
A is the amount
P is the principal
Given
Principal = $316
Rate R = 9% = 0.09
Time t = 4yrs
Substiutte and get Amount A
A =P(1+r)^n
A = 316 (1+0.09)^4
A = 316(1.09)^4
A = 316(1.4116)
A = 446.06
Interest = 446.06 - 316
Interest = 130.06
Hence the interest is $130.06
=> 660 ÷ 3
=> 220
☃️ Quotient :- <u>2</u><u>2</u><u>0</u>
☃️ Reminder :- <u>0</u>
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
<u>Step-by-step explanation:</u>
Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
Above mentioned are , are the statements matched with expressions on right hand side (RHS) .
- The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .
- The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.
