Answer: One hundred thousand
Step-by-step explanation:
✌️✌️✌️
Answer:
∠B ≅ ∠F ⇒ proved down
Step-by-step explanation:
<em>In the </em><em>two right triangles</em><em>, if the </em><em>hypotenuse and leg</em><em> of the </em><em>1st right Δ ≅</em><em> the </em><em>hypotenuse and leg</em><em> of the </em><em>2nd right Δ</em><em>, then the </em><em>two triangles are congruent</em>
Let us use this fact to solve the question
→ In Δs BCD and FED
∵ ∠C and ∠E are right angles
∴ Δs BCD and FED are right triangles ⇒ (1)
∵ D is the mid-point of CE
→ That means point D divides CE into 2 equal parts CD and ED
∴ CD = ED ⇒ (2) legs
∵ BD and DF are the opposite sides to the right angles
∴ BD and DF are the hypotenuses of the triangles
∵ BD ≅ FD ⇒ (3) hypotenuses
→ From (1), (2), (3), and the fact above
∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency
→ As a result of congruency
∴ BC ≅ FE
∴ ∠BDC ≅ ∠FDE
∴ ∠B ≅ ∠F ⇒ proved
Answer:
Step-by-step explanation:
<h3>Arithmetic sequence:</h3>
6th term is 14 ⇒ 
a + (6 - 1)d = 14
a + 5d = 14 --------------(I)
14th term is 6 ⇒
a + (14-1)d = 6
a + 13d = 6 ----------------(II)
Subtract equation (II) from equation(I)
(I) a + 5d = 14
(II) a + 13d = 6
<u>- - -</u>
-8d = 8
d = 8 ÷(-8)
Plugin d = -1 in equation (I)
a + 5(-1) = 14
a -5 = 14
a = 14 + 5
20th term:
= 19 - 19
Answer:
x 100 = 80%
Step-by-step explanation:
Answer:
Step-by-step explanation:
First order from smallest to largest.
70.8, 71.9, 72.1, 82.4, 85.3, 98.1.
Median is the middle number/s.
72.1+82.4/2 so The median is 77.25
Range is the largest number minus the smallest number.
85.3-70.8=14.5
Mode is the most repeated number.
Since there are no repeated numbers there is no mode.
Second question:
Again rearrage: 6, 9, 11, 14, 17
In order to make the median 10 you would have to add another 9 becasue
11+9/2 = 10
Third: remove 6 to make 12 the middle number
Fourth: add all numbers 90+x/6=20 so x has to be 30
