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3 years ago

Write the sentence as a conditional statement. All acute angles have measures less than 90°.

Mathematics

2 answers:

Fiesta28 [93]3 years ago

8 0

Given statement is "All acute angles have measures less than 90°."

Now we have to rewrite that sentence as a conditional statement.

Given statement is mixture of two simple statements "All acute angles" and "measures less than 90°".

So let

P = Angle is acute.

Q = Angle measures less than 90°.

conditional statement using p and q is given by " If P then Q"

so the final answer in conditional format "If P then Q" can be written as:

"If an angle is acute then that angle measures less than 90°.

Andrews [41]3 years ago

8 0

Answer:

To write a conditional statement for the following:

"All acute angles have measures less than 90°.

Conditional Statement is a statement that can be written in the form:

"If p, then q".

Hypothesis in the conditional statement is "If"

Conclusion in the conditional statement is "then"

Therefore, conditional statement for the given statement:

If an angle is acute, then it has measures less than 90°.

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Some friends of yours collected books for a book drive. They collected 64 Fiction, and 48 Non-Fiction books. They asked you to m

Cloud [144]

As all of the bundles have the same content inside, so assuming that there is x number of Fiction books and y number of Non-fiction books in each bundle.

Let n be the total number of bundles that my team can send.

There are 64 Fiction books, so

nx=64 ...(i)

Or x=64/n ...(ii)

also, there are 48 Non-Fiction books, so

ny=48 ...(iii)

Or y=48/n ...(iv)

Observing that the numbers x, y, and n are counting numbers and from equations (i) and (iii), n is the common factor of 64 and 48.

The possible common factors of 64 and 48 are,

n=1,2,4,8, and 16.

So, my team can send 1,2,3,4,8 or 16 bundles of books.

Now, from equations (ii) and (iv),

For n=1:

x=64/1=64

y=48/1=48

So, for 1 bundle the number of Fiction and Non-fictions books are 64 and 48 respectively.

For n=2:

x=64/2=32

y=48/2=48

So, for 2 bundles, the number of Fiction and Non-fictions books are 32 and 24 respectively.

For n=4:

x=64/4=16

y=48/4=12

So, for 4 bundles, the number of Fiction and Non-fictions books are 16 and 12 respectively.

For n=8:

x=64/8=8

y=48/8=6

So, for 8 bundles, the number of Fiction and Non-fictions books are 8 and 6 respectively.

For n=16:

x=64/16=4

y=48/16=3

So, for 16 bundles, the number of Fiction and Non-fictions books are 4 and 3 respectively.

8 0

3 years ago

describe how the location of the vertex of the angle determines the process of finding the angle measures associated with that a

LekaFEV [45]

Answer:

Step-by-step explanation:

3 0

3 years ago

10(4-7) What is the value of =(4-1) ? -10 - 6 6 10

blagie [28]

Answer 10

This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
Substitute in the values of
a
1
=
1
a
1
=
1
and
d
=
3
d
=
3
.
a
n
=
1
+
(
3
)
(
n
−
1
)
a
n
=
1
+
(
3
)
(
n
-
1
)
Simplify each term.
a
n
=
1
+
3
n
−
3
a
n
=
1
+
3
n
-
3
Subtract
3
3
from
1
1
.
a
n
=
3
n
−
2

4 0

3 years ago

Find the difference of(ab+8a+1)-(-6ab+4)

vagabundo [1.1K]

Hey there!

When finding the difference of expressions like these, there's a few things you should keep in mind.

1. When finding the difference of two polynomials, multiply the polynomial that implied to be "negative" by –1 to expand the problem and make it easier to solve.

2. You combine terms based on their unknown terms, like x, y, x², ab, etc. You cannot combine the terms x and x², but you can combine the terms 6b and 8b by adding them.

3. You can rearrange your terms however you see fit. If a polynomial is implied as "positive", you can multiply that entire polynomial by +1 to get rid of the parentheses.

With all that in mind, you can go ahead and solve for your difference, like so:

$(ab+8a+1)-(-6ab+4)$

$(ab+8a+1) (-1(-6ab+4))$

$(ab+8a+1) + (6ab-4)$

$ab+6ab+8a+1-4$

$7ab+8a-3$

$7ab+8a-3$ will be your difference.

Hope this helped you out! :-)

8 0

3 years ago

169= (24/2)^2 +(d/2)^2

OlgaM077 [116]

Answer: d = ±10

Step-by-step explanation:

169 = $(\frac{24}{2})^{2}$ + $(\frac{d}{2})^{2}$