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2 years ago

8

Complete the statement.

1 answer:

GenaCL600 [577]2 years ago

4 0

Answer:

alternate interior angles are always congruent.

Step-by-step explanation:

- Consecutive [Same-side] exterior angles are always supplementary.

- Consecutive [Same-side] interior angles are always supplementary.

- Corresponding angles are always congruent.

I am joyous to assist you anytime.

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What is the length of AC?<br><br><br> 3 ft<br><br> 4 ft<br><br> 9 ft<br><br> 18 ft

iragen [17]

Answer: The length of AC is 18 ft.

Step-by-step explanation:

By the given diagram,

AM = MB and CN = NB

M and N are the mid points of the sides AB and CB respectively,

Thus, by the mid point theorem,

MN ║ AC,

By the alternative interior angle theorem,

∠BMN ≅ ∠BAC

∠BNM ≅ ∠BCA

Thus, by AA similarity postulate,

ΔBMN ≅ ΔBAC

By the property of similar triangles,

$\frac{BM}{BA}=\frac{MN}{AC}$

$\frac{BM}{BM+MA}=\frac{MN}{AC}$

$\frac{4}{4+4}=\frac{9}{AC}$

$\frac{4}{8}=\frac{9}{AC}$

$4AC=72\implies AC = 18\text{ ft}$

Thus, The length of AC is 18 ft.

5 0

2 years ago

Read 2 more answers

The function f(x) is defined as follows:

Leno4ka [110]

Answer:

$f(-3)=-8\\f(2)=4$

Step-by-step explanation:

In order to find the values of a piecewise function, we first have to determine which piece we are using.

For $f(-3)$ , x=-3. This means that we need to use $3x+1$ as $-3\leq 0$

$f(-3)=3(-3)+1\\\\f(-3)=-9+1\\\\f(-3)=-8$

For $f(2)$ , x=2. This means that we need to use $f(x)=4$ as x is equal to 2.

$f(x)=4$

6 0

3 years ago

Please help me answer this question its urgent

yarga [219]

Answer:

Step-by-step explanation:

1). $\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+2\frac{2}{9}n$

= $\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+(2+\frac{2}{9})n$

= $(\frac{2}{3}-\frac{3}{4}+\frac{1}{6})n+(2+\frac{2}{9})n$

= $(\frac{8}{12}-\frac{9}{12}+\frac{2}{12})n+(2+\frac{2}{9})n$

= $\frac{(8-9+2)}{12}n+(2+\frac{2}{9})n$

= $\frac{1}{12}n+(2+\frac{2}{9})n$

= $(\frac{1}{12}+2+\frac{2}{9})n$

= $(\frac{3}{36}+\frac{72}{36}+\frac{8}{36})n$

= $\frac{83}{36}n$

= $2\frac{11}{36}n$

2). $\frac{2}{5}g-\frac{1}{6}-g+\frac{3}{10}g-\frac{4}{5}$

= $(\frac{2}{5}-1+\frac{3}{10})g-(\frac{1}{6}+\frac{4}{5})$

= $(\frac{4}{10}-\frac{10}{10}+\frac{3}{10})g-(\frac{5}{30}+ \frac{24}{30})$

= $(\frac{4-10+3}{10})g-(\frac{5+24}{30})$

= $\frac{-3}{10}g-\frac{29}{30}$

= $-\frac{3}{10}g-\frac{29}{30}$

3). $i+6i-\frac{3}{7}i+\frac{1}{3}h+\frac{1}{2}i-h+\frac{1}{4}h$

= $7i-\frac{3}{7}i+\frac{1}{2}i+\frac{1}{3}h-h+\frac{1}{4}h$

= $(7-\frac{3}{7}+\frac{1}{2})i+(\frac{1}{3}-1+\frac{1}{4})h$

= $(\frac{98}{14} -\frac{6}{14}+\frac{7}{14})i+(\frac{4}{12}-\frac{12}{12}+\frac{3}{12})h$

= $(\frac{98-6+7}{14})i+(\frac{4-12+3}{12})h$

= $\frac{99}{14}i-\frac{5}{12}h$

6 0

2 years ago

Joe has 70 quarters and dimes. The total value is $14.40. how many quarters does he have

maksim [4K]

14*4=56+1 for the 40 cents = 57 is your Answer

6 0

2 years ago

If ray ST bisects ∠RSU and m∠TSU=43°, find m∠RSU.

melomori [17]

Answer: 86 degrees

Explanation:

Angle TSU is formed when we bisect angle RSU. Recall that bisect means to cut in half. So TSU is half of RSU. Put another way, RSU is twice that of TSU.

angle RSU = 2*(angle TSU)

angle RSU = 2*43

angle RSU = 86

8 0

2 years ago