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3 years ago

The triangles shown below must be congruent. A. True B. False

Mathematics

2 answers:

Digiron [165]3 years ago

8 0

True because yes yes yes yes yes

gizmo_the_mogwai [7]3 years ago

7 0

The answer is A. True,

Explanation: two figures are congruent if the are the same size and shape. Their corresponding angles and sides are equal.

Please mark brainliest :)

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Which estimation could be used to make sure the answer is reasonable? Claudia mixed 16.7 pounds of sand with 12.6 pounds of soil

ra1l [238]

The answer for your question is a). Because if you add 12.6 pounds by 16.7 pounds you will get 29.3 as your answer.the estimated answer is 30 and,22.1 estimated is 22.Finally,you just subtract 30 by 22 and you get your answer as 8.

7 0

3 years ago

Simplify the given expression. (4x2squared-15x-21)+3x2squared-10)

Bess [88]

Answer:

$7x^{2} - 15x -31$

Step-by-step explanation:

$(4x^{2} - 15x -21) + 3x^{2} - 10 = 4x^{2} + 3x^{2} - 15x -21 - 10 = 7x^{2} - 15x -31$

4 0

3 years ago

The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep

Alchen [17]

Ooh, fun

geometric sequences can be represented as
$a_n=a(r)^{n-1}$
so the first 3 terms are
$a_1=a$
$a_2=a(r)$
$a_2=a(r)^2$

the sum is -7/10
$\frac{-7}{10}=a+ar+ar^2$
and their product is -1/125
$\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3$

from the 2nd equation we can take the cube root of both sides to get
$\frac{-1}{5}=ar$
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
$\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r$
subsituting -1/5 for ar
$\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r$
which simplifies to
$\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}$
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for $ax^2+bx+c=0$
$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
so
for 2r²-5r+2=0
a=2
b=-5
c=2

$r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}$
$r=\frac{5 \pm \sqrt{25-16}}{4}$
$r=\frac{5 \pm \sqrt{9}}{4}$
$r=\frac{5 \pm 3}{4}$
so
$r=\frac{5+3}{4}=\frac{8}{4}=2$ or $r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}$

use them to solve for the value of a
$\frac{-1}{5}=ar$
$\frac{-1}{5r}=a$
try for r=2 and 1/2
$a=\frac{-1}{10}$ or $a=\frac{-2}{5}$

test each
for a=-1/10 and r=2
a+ar+ar²= $\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}$
it works

for a=-2/5 and r=1/2
a+ar+ar²= $\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}$
it works

both have the same terms but one is simplified

the 3 numbers are $\frac{-2}{5}$ , $\frac{-1}{5}$ , and $\frac{-1}{10}$

6 0

3 years ago

How much will two points cost on a $175,000 mortgage?

Triss [41]

43 $3500.00

because you must calculate $175,000.00*.02 so when that is multiplied it equalos $3500.00

8 0

3 years ago

Find the missing symbol: 1/6 ? 1/2<br><<br>><br>=<br>please help

Amanda [17]

Answer:

1/6 < 1/2

Step-by-step explanation:

The larger the denominator, the smaller that fraction would be. Both of the numerators are equal, so we don't have to worry about that. Since 6 is larger than 2, we know that 1/2 is larger than 1/6. hope I helped:))

8 0

3 years ago

Read 2 more answers