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Ulleksa [173]
3 years ago
7

The triangles DCF and DBF are....

Mathematics
1 answer:
Deffense [45]3 years ago
3 0
The answer is option
d. congruent by sas
DB=DC(given)
DF=DF(common)
angle FBD= angle FCD( both 90°)


so d is correct...
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Given the following matrices, what 3 elements make up the first column of the product matrix DA?
Misha Larkins [42]

We have to figure out what the product of DA is,

\begin{bmatrix}-1&2&3\\8&-4&0\\6&7&1\\ \end{bmatrix}\begin{bmatrix}1\\3\\5\\ \end{bmatrix}=\begin{bmatrix}a\\b\\c\\ \end{bmatrix}

We know that,

\begin{bmatrix}a&b&c\\d&e&f\\g&h&i\\\end{bmatrix}\begin{bmatrix}x\\y\\z\\\end{bmatrix}=\begin{bmatrix}ax+by+cz\\dx+ey+fz\\gx+hy+iz\\\end{bmatrix}

So,

a=-1\cdot1+2\cdot3+3\cdot5=-1+6+15=20

b=8\cdot1+(-4)\cdot3+0\cdot5=8-12=-4

c=6\cdot1+7\cdot3+1\cdot5=6+21+5=32

So the solution is,

a,b,c=\boxed{20,-4,32}

Hope this helps :)

4 0
3 years ago
Paula invests £4500 in a savings account
Leni [432]

Answer:

18.61

Step-by-step explanation:

Principle = £4500

Time = 6yrs

Rate = n%

Simple interest = £5025

n = ?

We know,

SI =PTR/100

£5025 = £4500*6*n/100

£502500 = £27000*n

n = 18.61

6 0
4 years ago
Find the greatest common factor of the following monomials : 34x^6 , 22x^5
ladessa [460]

Answer:

2x^5.

Step-by-step explanation:

GCF of 34 and 22 is 2

GCF of x^6 and x^5 is x^5.

So the GCF of 34x^6 and 22x^5  is 2x^5.

4 0
4 years ago
Help me Please i really need help
NikAS [45]

Answer:

A is 2.5, B is 5, and C is 6.

Step-by-step explanation:

Hope this helps :D

plz give brainliest i need it

my account got deleted

4 0
3 years ago
Read 2 more answers
Akira and Hideo are twins with different jobs. Akira earns five-eighths of what Hideo earns, but Akira’s expenses are half of Hi
aleksklad [387]

9514 1404 393

Answer:

  25%

Step-by-step explanation:

Apparently, we're to assume that anything not spent is saved.

Let Hideo's income be 1. Then Akira's income is 5/8. Akira's expenses are 60% = 3/5 of that value, so ...

  Akira's expenses = (3/5)(5/8) = 3/8  . . . . . of Hideo's income

Hideo's expenses are twice this amount, so ...

  Hideo's expenses = (2)(3/8) = 3/4 . . . . . of Hideo's income

That means Hideo saves 1 -3/4 = 1/4 = 25/100 = 25% of his income.

Hideo saves 25% of his income.

4 0
3 years ago
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