Answer:
Step-by-step explanation:
Given: ΔDFE is isosceles with base FE; FB ≅ EC.
To prove: ΔDFB ≅ ΔDEC
Proof: It is given that ΔDFE is isosceles with base FE; FB ≅ EC, thus
From ΔDFB and ΔDEC, we have
FB≅EC (Given)
DF≅DE (Definition of isosceles triangle)
∠DFE≅∠DEF⇒∠DFB≅DEC (because DF≅DE, therefore base angles are equal)
Thus, by SAS rule,
ΔDFB ≅ ΔDEC
Statements Reasons
1. FB≅EC (Given)
2. DF≅DE (Definition of isosceles triangle)
3.∠DFE≅∠DEF
⇒∠DFB≅DEC (because DF≅DE, therefore base angles are equal)
4. ΔDFB ≅ ΔDEC SAS rule
The number of possible selections of the five donuts is; 21
<h3>Permutation and Combination</h3>
The ample supply contains;
Since he wants to select 5 donuts, the orders could be;
Strawberry = 4, Chocolate = 1, Caramel = 0
or
Strawberry = 4, Chocolate = 0, Caramel = 1
or
Strawberry = 3, Chocolate = 2, Caramel = 0
e.t.c
Now, to solve this, Each option for Jamie is represented by an imaginary picture of five donuts (circles) and two bars (shelf separators).
Thus, the number of ways to select two spaces from 7 is;
7!/(5! × 2!) = 21
Read more about permutations and combinations at; brainly.com/question/11871015
Answer:
One childhood memory i have is smacking my sister with a spongebob stuffy until she started crying
Step-by-step explanation:
good times
Answer:
B
Step-by-step explanation:
there are 4 answers for each question, thats 8 all together. Two of the 4 are one vaild answers. Take 2/8 * 2/8 = 4/64 then you reduce that and get 1/16
Answer:
y=4/5x-18/5
Step-by-step explanation:
there are multiple ways we can find the slope, let's use two points and the point slope form y=mx+b for this equation. we can find the slope by using the equation
in this case, we can use the two points (-3,-6), (2,-2)
y2=-2, y1=-6, x2=2, x1=-3
so, the equation is
this reduces to 4/5
our slope is 4/5, so the equation for now is y=4/5x+b
let's use (2,-2) to find b. the y is -2, x is 2
-2=4/5(2)+b
-2=8/5+b, multiply both sides by 5:
-10=8+5b, subtract 8 from both sides
-18=5b, divide by 5
-18/5=b
our final equation is y=4/5x-18/5