Answer:
<h2><u><em>
Rhombus</em></u></h2><h2><u><em>
Isosceles Trapezium</em></u></h2><h2><u><em>
Parallelogram</em></u></h2>
Step-by-step explanation:
A quadrilateral has angles 60,60,120 and 120
write down the names of three possible quadrilaterals that can have these angles
- Rhombus
- Isosceles Trapezium
- Parallelogram
Answer:
4
Step-by-step explanation:
3^2=9
-2 times 3 = -6
9-6+1=4
Answer:
![\boxed{\blue{\sf He\ will \ owe \ \$ 8540 .}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cblue%7B%5Csf%20He%5C%20will%20%5C%20owe%20%5C%20%5C%24%208540%20.%7D%7D)
Step-by-step explanation:
According to Question , Yoshua borrowed $8,000 from his credit union over 9 months. He pays a simple interest of 9%. And we are required to find the total amount of money he will owe the bank .
So , we know the formula of Simple Interest as ,
<u>As</u><u> </u><u>,</u><u>per</u><u> </u><u>the</u><u> </u><u>data</u><u> </u><u>in</u><u> Question</u><u> </u><u>,</u>
- Amount = $ 8,000
- Time = 9 months
- Rate of Interst = 9% .
![\implies SI = =\dfrac{P\times R\times T}{100} \\\\\implies SI =\dfrac{\$ 8000 \times \dfrac{9}{12}\times 9 }{100} \\\\\implies SI = \dfrac{\$ 8000 \times 9 \times 9 }{12\times 100 }\\\\\boxed{\pink{\bf \implies Simple\: Interst = \$ 540 }}](https://tex.z-dn.net/?f=%5Cimplies%20SI%20%3D%20%3D%5Cdfrac%7BP%5Ctimes%20R%5Ctimes%20T%7D%7B100%7D%20%5C%5C%5C%5C%5Cimplies%20SI%20%3D%5Cdfrac%7B%5C%24%208000%20%5Ctimes%20%5Cdfrac%7B9%7D%7B12%7D%5Ctimes%209%20%7D%7B100%7D%20%5C%5C%5C%5C%5Cimplies%20SI%20%3D%20%5Cdfrac%7B%5C%24%208000%20%5Ctimes%209%20%5Ctimes%209%20%7D%7B12%5Ctimes%20100%20%7D%5C%5C%5C%5C%5Cboxed%7B%5Cpink%7B%5Cbf%20%5Cimplies%20Simple%5C%3A%20Interst%20%3D%20%5C%24%20540%20%7D%7D)
<u>Hence</u><u> </u><u>the</u><u> </u><u>Simpl</u><u>e</u><u> Interest</u><u> is</u><u> </u><u>$</u><u> </u><u>5</u><u>4</u><u>0</u><u>. </u>
And , we know that Amount is ,
![\implies Amount = Principal + SI \\\\ \implies Amount = \$ 8000 + \$ 540 \\\\\boxed{\orange{\bf \implies Amount= \$ 8540 }}](https://tex.z-dn.net/?f=%5Cimplies%20Amount%20%3D%20Principal%20%2B%20SI%20%5C%5C%5C%5C%20%5Cimplies%20Amount%20%3D%20%5C%24%208000%20%2B%20%5C%24%20540%20%5C%5C%5C%5C%5Cboxed%7B%5Corange%7B%5Cbf%20%5Cimplies%20Amount%3D%20%5C%24%208540%20%7D%7D)
<u>Hence </u><u>he</u><u> </u><u>will</u><u> </u><u>owe</u><u> </u><u>$</u><u> </u><u>8</u><u>5</u><u>4</u><u>0</u><u>0</u><u>.</u>
Answer:
ΔLNO ≅ ΔLMN iff ∠LNO = ∠LNM
Step-by-step explanation:
Lets get started using the statement that...
<em> In ΔLON and ΔLMN</em>
<u><em> Side ON ≅ Side MN </em></u>
<u><em> Side LN ≅ Side NM </em></u>
<u><em> ∠LON ≅ ∠LMN</em></u>
To Prove: ∠LON ≅ ∠LMN by ASA congruence theorem.
Solution: In order to prove ASA congruence between the triangles we need two angles to be congruent to each other. When we look at the figure, we see that <u><em>∠LNO ≅ ∠LNM is a common angle </em></u>in both the triangles.
Hence, using this we will prove that the triangles are congruent by ASA congruence rule.
<u><em>In ΔLON and ΔLMN</em></u>
Side ON ≅ Side MN
∠LNO ≅ ∠LNM ( ∵ common )
∠LON ≅ ∠LMN (∵ Given )
<u>⇒ ΔLON ≅ ΔLMN ( By ASA congruence theorem).</u>
Answer:
86°
Step-by-step explanation:
Normally, the building stands at an angle of 90° to the ground (from horizontal)
so,
x = 90° - 4° = 86°